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Generalized fixed points for fuzzy and nonfuzzy mappings in strong b-metric spaces 强 b 矩空间中模糊和非模糊映射的广义定点
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-02-14 DOI: 10.1186/s13660-024-03101-9
Shazia Kanwal, Hüseyin Işık, Sana Waheed
{"title":"Generalized fixed points for fuzzy and nonfuzzy mappings in strong b-metric spaces","authors":"Shazia Kanwal, Hüseyin Işık, Sana Waheed","doi":"10.1186/s13660-024-03101-9","DOIUrl":"https://doi.org/10.1186/s13660-024-03101-9","url":null,"abstract":"The main purpose of this research article is to generalize Kannan-type fixed-point (FP) theorems for single-valued mappings and Chatterjea-type FP result for fuzzy mappings (FMs) in the context of complete strong b-metric spaces (MSs). Moreover, fuzzy FPs are established for Suzuki-type fuzzy contraction in the setting of complete strong b-MSs. The conclusions are supported by nontrivial examples to enhance the validity of the results obtained in this study. In addition, previous findings have been made as corollaries from the relevant literature. The numerous implications that this technique has across the literature improve and integrate our findings. Applications of some of the results obtained are also incorporated.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139773377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximating fixed points of weak enriched contractions using Kirk’s iteration scheme of higher order 利用柯克高阶迭代方案逼近弱充实收缩的定点
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-02-14 DOI: 10.1186/s13660-024-03097-2
Mi Zhou, Naeem Saleem, Mujahid Abbas
{"title":"Approximating fixed points of weak enriched contractions using Kirk’s iteration scheme of higher order","authors":"Mi Zhou, Naeem Saleem, Mujahid Abbas","doi":"10.1186/s13660-024-03097-2","DOIUrl":"https://doi.org/10.1186/s13660-024-03097-2","url":null,"abstract":"In this paper, we introduce two types of weak enriched contractions, namely weak enriched $mathcal{F}$ -contraction, weak enriched $mathcal{F^{prime}}$ -contraction, and k-fold averaged mapping based on Kirk’s iterative algorithm of order k. The types of contractions introduced herein unify, extend, and generalize several existing classes of enriched and weak enriched contraction mappings. Moreover, K-fold averaged mappings can be viewed as a generalization of the averaged mappings and double averaged mappings. We then prove the existence of a unique fixed point of the k-fold averaged mapping associated with weak enriched contractions introduced herein. We study necessary conditions that guarantee the equality of the sets of fixed points of the k-fold averaged mapping and weak enriched contractions. We show that an appropriate Kirk’s iterative algorithm can be used to approximate a fixed point of a k-fold averaged mapping and of the two weak enriched contractions. We also study the well-posedness, limit shadowing property, and Ulam–Hyers stability of the k-fold averaged mapping. We provide necessary conditions that ensure the periodic point property of each illustrated weak enriched contraction. Some examples are presented to show that our results are a potential generalization of the comparable results in the existing literature.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139772243","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Viscosity extragradient with modified inertial method for solving equilibrium problems and fixed point problem in Hadamard manifold 用修正惯性法解决哈达玛流形中的平衡问题和定点问题的粘度外梯度法
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-02-13 DOI: 10.1186/s13660-024-03099-0
P. V. Ndlovu, L. O. Jolaoso, M. Aphane, H. A. Abass
{"title":"Viscosity extragradient with modified inertial method for solving equilibrium problems and fixed point problem in Hadamard manifold","authors":"P. V. Ndlovu, L. O. Jolaoso, M. Aphane, H. A. Abass","doi":"10.1186/s13660-024-03099-0","DOIUrl":"https://doi.org/10.1186/s13660-024-03099-0","url":null,"abstract":"In this article, we propose a viscosity extragradient algorithm together with an inertial extrapolation method for approximating the solution of pseudomonotone equilibrium and fixed point problem of a nonexpansive mapping in the setting of a Hadamard manifold. We prove that the sequence generated by our iterative method converges to a solution of the above problems under some mild conditions. Finally, we outline some implications of our results and present several numerical examples showing the implementability of our algorithm. The results of this article extend and complement many related results in linear spaces.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139772378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on Lototsky–Bernstein bases 关于洛托茨基-伯恩斯坦基的说明
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-02-06 DOI: 10.1186/s13660-024-03076-7
Xiao-Wei Xu, Xin Yu, Jia-Lin Cui, Qing-Bo Cai, Wen-Tao Cheng
{"title":"A note on Lototsky–Bernstein bases","authors":"Xiao-Wei Xu, Xin Yu, Jia-Lin Cui, Qing-Bo Cai, Wen-Tao Cheng","doi":"10.1186/s13660-024-03076-7","DOIUrl":"https://doi.org/10.1186/s13660-024-03076-7","url":null,"abstract":"In this note, we study some approximation properties on a class of special Lototsky–Bernstein bases. We focus on approximation of $|x|$ on $[-1,1]$ by an approximation process generated from fixed points on Lototsky–Bernstein bases. Our first result shows that the approximation procedure $p_{n}(x)$ to $|x|$ preserves good shapes on $[-1,1]$ . Moreover, some convergence results and inequalities are derived. Our second main result states that the rate convergence of the approximation is $O(n^{-2})$ .","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139772305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiple positive solutions for Schrödinger-Poisson system with singularity on the Heisenberg group 海森堡群上有奇点的薛定谔-泊松系统的多重正解
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-02-05 DOI: 10.1186/s13660-024-03096-3
Guaiqi Tian, Yucheng An, Hongmin Suo
{"title":"Multiple positive solutions for Schrödinger-Poisson system with singularity on the Heisenberg group","authors":"Guaiqi Tian, Yucheng An, Hongmin Suo","doi":"10.1186/s13660-024-03096-3","DOIUrl":"https://doi.org/10.1186/s13660-024-03096-3","url":null,"abstract":"In this work, we study the following Schrödinger-Poisson system $$ textstylebegin{cases} -Delta _{H}u+mu phi u=lambda u^{-gamma}, &text{in } Omega , -Delta _{H}phi =u^{2}, &text{in } Omega , u>0, &text{in } Omega , u=phi =0, &text{on } partial Omega , end{cases} $$ where $Delta _{H}$ is the Kohn-Laplacian on the first Heisenberg group $mathbb{H}^{1}$ , and $Omega subset mathbb{H}^{1}$ is a smooth bounded domain, $mu =pm 1$ , $0<gamma <1$ , and $lambda >0$ are some real parameters. For the above system, we prove the existence and uniqueness of positive solution for $mu =1$ and each $lambda >0$ . Multiple solutions of the system are also considered for $mu =-1$ and $lambda >0$ small enough using the critical point theory for nonsmooth functional.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139690341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Higher order ((n,m))-Drazin normal operators 高阶（(n,m)）-德拉津正则算子
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-02-01 DOI: 10.1186/s13660-024-03095-4
Hadi Obaid AlShammari
{"title":"Higher order ((n,m))-Drazin normal operators","authors":"Hadi Obaid AlShammari","doi":"10.1186/s13660-024-03095-4","DOIUrl":"https://doi.org/10.1186/s13660-024-03095-4","url":null,"abstract":"The purpose of this paper is to introduce and study the structure of p-tuple of $(n,m)$ - $mathcal{D}$ -normal operators. This is a generalization of the class of p-tuple of n-normal operators. We consider a generalization of these single variable n- $mathcal{D}$ -normal and $(n,m)$ - $mathcal{D}$ -normal operators and explore some of their basic properties.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139666551","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inverse logarithmic coefficient bounds for starlike functions subordinated to the exponential functions 从属于指数函数的星形函数的反对数系数边界
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-31 DOI: 10.1186/s13660-024-03094-5
Lei Shi, Muhammad Abbas, Mohsan Raza, Muhammad Arif, Poom Kumam
{"title":"Inverse logarithmic coefficient bounds for starlike functions subordinated to the exponential functions","authors":"Lei Shi, Muhammad Abbas, Mohsan Raza, Muhammad Arif, Poom Kumam","doi":"10.1186/s13660-024-03094-5","DOIUrl":"https://doi.org/10.1186/s13660-024-03094-5","url":null,"abstract":"In recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of $mathcal{S}^{ast}_{e}$ for which $zf^{prime}(z)/f(z)$ is subordinate to $e^{z}$ in the open unit disk. The classic concept of Hankel determinant is generalized by replacing the inverse logarithmic coefficient of functions belonging to certain subclasses of univalent functions. In particular, we obtain the best possible bounds for the second Hankel determinant of logarithmic coefficients of inverse starlike functions subordinated to exponential functions. This work may inspire to pay more attention to the coefficient properties with respect to the inverse functions of various classes of univalent functions.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139646211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions 与斐波那契数列和平方根函数相关的双巴齐莱维奇函数的法布尔多项式系数不等式
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-31 DOI: 10.1186/s13660-024-03090-9
H. M. Srivastava, Shahid Khan, Sarfraz Nawaz Malik, Fairouz Tchier, Afis Saliu, Qin Xin
{"title":"Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions","authors":"H. M. Srivastava, Shahid Khan, Sarfraz Nawaz Malik, Fairouz Tchier, Afis Saliu, Qin Xin","doi":"10.1186/s13660-024-03090-9","DOIUrl":"https://doi.org/10.1186/s13660-024-03090-9","url":null,"abstract":"Two new subclasses of the class of bi-Bazilevič functions, which are related to the Fibonacci-number series and the square-root functions, are introduced and studied in this article. Under a special choice of the parameter involved, these two classes of Bazilevič functions reduce to two new subclasses of star-like biunivalent functions related with the Fibonacci-number series and the square-root functions. Using the Faber polynomial expansion (FPE) technique, we find the general coefficient bounds for the functions belonging to each of these classes. We also find bounds for the initial coefficients for bi-Bazilevič functions and demonstrate how unexpectedly these initial coefficients behave in relation to the square-root functions and the Fibonacci-number series.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139646204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators 由 Ruscheweyh 算子定义的 m 折对称双等价函数一般子类的汉克尔行列式
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-30 DOI: 10.1186/s13660-024-03088-3
Pishtiwan Othman Sabir, Ravi P. Agarwal, Shabaz Jalil Mohammedfaeq, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Thabet Abdeljawad
{"title":"Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators","authors":"Pishtiwan Othman Sabir, Ravi P. Agarwal, Shabaz Jalil Mohammedfaeq, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Thabet Abdeljawad","doi":"10.1186/s13660-024-03088-3","DOIUrl":"https://doi.org/10.1186/s13660-024-03088-3","url":null,"abstract":"Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel determinant of this class and some consequences of the results are presented. In addition, to demonstrate the accuracy on some functions and conditions, most general programs are written in Python V.3.8.8 (2021).","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139590184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some multidimensional fixed point theorems for nonlinear contractions in C-distance spaces with applications C 距离空间中非线性收缩的一些多维定点定理及其应用
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-01-30 DOI: 10.1186/s13660-024-03079-4
Maliha Rashid, Naeem Saleem, Rabia Bibi, Reny George
{"title":"Some multidimensional fixed point theorems for nonlinear contractions in C-distance spaces with applications","authors":"Maliha Rashid, Naeem Saleem, Rabia Bibi, Reny George","doi":"10.1186/s13660-024-03079-4","DOIUrl":"https://doi.org/10.1186/s13660-024-03079-4","url":null,"abstract":"In this manuscript, we use the concept of multidimensional fixed point in a generalized space, namely, C-distance space with some nonlinear contraction conditions, such as Jaggi- and Dass-Gupta-type contractions. We provide results with a Jaggi-type hybrid contraction for the mentioned space. Moreover, we use control functions to get the desired results. After each theorem, we compare our results with previous ones to show that they are generalized. We provide examples to support our results. An application is also performed to solve the system of integral equations.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139590613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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