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ψ−COUPLED FIXED POINT THEOREM VIA SIMULATION FUNCTIONS IN COMPLETE PARTIALLY ORDERED METRIC SPACE AND ITS APPLICATIONS 完全偏序度量空间中模拟函数的ψ -耦合不动点定理及其应用
Nonlinear Functional Analysis and Applications Pub Date : 2021-05-23 DOI: 10.22771/NFAA.2021.26.02.03
Anupam Das, B. Hazarika, H. Nashine, J. Kim
{"title":"ψ−COUPLED FIXED POINT THEOREM VIA SIMULATION FUNCTIONS IN COMPLETE PARTIALLY ORDERED METRIC SPACE AND ITS APPLICATIONS","authors":"Anupam Das, B. Hazarika, H. Nashine, J. Kim","doi":"10.22771/NFAA.2021.26.02.03","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.02.03","url":null,"abstract":"We proposed to give some new ψ − coupled fixed point theorems using simulation function coupled with other control functions in a complete partially ordered metric space which includes many related results. Further we prove the existence of solution of a fractional integral equation by using this fixed point theorem and explain it with the help of an example.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43214933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
APPROXIMATION OF ZEROS OF SUM OF MONOTONE MAPPINGS WITH APPLICATIONS TO VARIATIONAL INEQUALITY AND IMAGE RESTORATION PROBLEMS 单调映射和的零逼近及其在变分不等式和图像恢复问题中的应用
Nonlinear Functional Analysis and Applications Pub Date : 2021-05-23 DOI: 10.22771/NFAA.2021.26.02.12
A. Adamu, Jitsupa Deepho, A. Ibrahim, A. Abubakar
{"title":"APPROXIMATION OF ZEROS OF SUM OF MONOTONE MAPPINGS WITH APPLICATIONS TO VARIATIONAL INEQUALITY AND IMAGE RESTORATION PROBLEMS","authors":"A. Adamu, Jitsupa Deepho, A. Ibrahim, A. Abubakar","doi":"10.22771/NFAA.2021.26.02.12","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.02.12","url":null,"abstract":"In this paper, an inertial Halpern-type forward backward iterative algorithm for approximating solution of a monotone inclusion problem whose solution is also a fixed point of some nonlinear mapping is introduced and studied. Strong convergence theorem is established in a real Hilbert space. Furthermore, our theorem is applied to variational inequality problems, convex minimization problems and image restoration problems. Finally, numerical illustrations are presented to support the main theorem and its applications.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43686489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
QUALITATIVE ANALYSIS OF A PROPORTIONAL CAPUTO FRACTIONAL PANTOGRAPH DIFFERENTIAL EQUATION WITH MIXED NONLOCAL CONDITIONS 具有混合非局部条件的比例卡普托分数受电弓微分方程的定性分析
Nonlinear Functional Analysis and Applications Pub Date : 2021-02-24 DOI: 10.22771/NFAA.2021.26.01.14
Bounmy Khaminsou, Chatthai Thaiprayoon, W. Sudsutad, Sayooj Aby Jose
{"title":"QUALITATIVE ANALYSIS OF A PROPORTIONAL CAPUTO FRACTIONAL PANTOGRAPH DIFFERENTIAL EQUATION WITH MIXED NONLOCAL CONDITIONS","authors":"Bounmy Khaminsou, Chatthai Thaiprayoon, W. Sudsutad, Sayooj Aby Jose","doi":"10.22771/NFAA.2021.26.01.14","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.14","url":null,"abstract":"In this paper, we investigate existence, uniqueness and four different types of Ulam’s stability, that is, Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers- Rassias stability and generalized Ulam-Hyers-Rassias stability of the solution for a class of nonlinear fractional Pantograph differential equation in term of a proportional Caputo fractional derivative with mixed nonlocal conditions. We construct sufficient conditions for the existence and uniqueness of solutions by utilizing well-known classical fixed point theorems such as Banach contraction principle, Leray-Schauder nonlinear alternative and Krasnosel’ski i’s fixed point theorem. Finally, two examples are also given to point out the applicability of our main results.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46518789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
BEST APPROXIMATIONS FOR MULTIMAPS ON ABSTRACT CONVEX SPACES 抽象凸空间上multimaps的最佳逼近
Nonlinear Functional Analysis and Applications Pub Date : 2021-02-24 DOI: 10.22771/NFAA.2021.26.01.12
Sehie Park
{"title":"BEST APPROXIMATIONS FOR MULTIMAPS ON ABSTRACT CONVEX SPACES","authors":"Sehie Park","doi":"10.22771/NFAA.2021.26.01.12","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.12","url":null,"abstract":"In this article we derive some best approximation theorems for multimaps in abstract convex metric spaces. We are based on generalized KKM maps due to Kassay-Kolumban, Chang-Zhang, and studied by Park, Kim-Park, Park-Lee, and Lee. Our main results are extensions of a recent work of Mitrovic-Hussain-Sen-Radenovic on G-convex metric spaces to partial KKM metric spaces. We also recall known works related to single-valued maps, and introduce new partial KKM metric spaces which can be applied our new results.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43995620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
COINCIDENCE AND FIXED POINT RESULTS FOR GENERALIZED WEAK CONTRACTION MAPPING ON b-METRIC SPACES b-度量空间上广义弱收缩映射的重合与不动点结果
Nonlinear Functional Analysis and Applications Pub Date : 2021-02-24 DOI: 10.22771/NFAA.2021.26.01.13
Abed Al-Rahman M. Malkawi, A. Talafhah, W. Shatanawi
{"title":"COINCIDENCE AND FIXED POINT RESULTS FOR GENERALIZED WEAK CONTRACTION MAPPING ON b-METRIC SPACES","authors":"Abed Al-Rahman M. Malkawi, A. Talafhah, W. Shatanawi","doi":"10.22771/NFAA.2021.26.01.13","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.13","url":null,"abstract":"n this paper, we introduce the modification of a generalized (Ψ , L ) − weak contraction and we prove some coincidence point results for self-mappings G,T and S, and some fixed point results for some maps by using a ( c ) − comparison function and a comparison function in the sense of a b -metric space.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48998794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
APPROXIMATE SOLUTIONS OF SCHRÖDINGER EQUATION WITH A QUARTIC POTENTIAL 四次势薛定谔方程的近似解
Nonlinear Functional Analysis and Applications Pub Date : 2021-02-23 DOI: 10.22771/NFAA.2021.26.01.11
Soon-Mo Jung, Byungbae Kim
{"title":"APPROXIMATE SOLUTIONS OF SCHRÖDINGER EQUATION WITH A QUARTIC POTENTIAL","authors":"Soon-Mo Jung, Byungbae Kim","doi":"10.22771/NFAA.2021.26.01.11","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.11","url":null,"abstract":"Recently we investigated a type of Hyers-Ulam stability of the Schrodinger equation with the symmetric parabolic wall potential that efficiently describes the quantum harmonic oscillations. In this paper we study a type of Hyers-Ulam stability of the Schrodinger equation when the potential barrier is a quartic wall in the solid crystal models.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45109516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
MAJORIZATION PROBLEMS FOR UNIFORMLY STARLIKE FUNCTIONS BASED ON RUSCHEWEYH Q-DIFFERENTIAL OPERATOR RELATED WITH EXPONENTIAL FUNCTION 基于与指数函数相关的ruscheweyh q -微分算子的一致星形函数的多数化问题
Nonlinear Functional Analysis and Applications Pub Date : 2021-02-23 DOI: 10.22771/NFAA.2021.26.01.05
K. Vijaya, G. Murugusundaramoorthy, N. Cho
{"title":"MAJORIZATION PROBLEMS FOR UNIFORMLY STARLIKE FUNCTIONS BASED ON RUSCHEWEYH Q-DIFFERENTIAL OPERATOR RELATED WITH EXPONENTIAL FUNCTION","authors":"K. Vijaya, G. Murugusundaramoorthy, N. Cho","doi":"10.22771/NFAA.2021.26.01.05","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.05","url":null,"abstract":"The main object of this present paper is to study some majorization problems for certain classes of analytic functions defined by means of q − calculus operator associated with exponential function.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48446424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
FIXED POINT THEOREMS FOR THE MODIFIED SIMULATION FUNCTION AND APPLICATIONS TO FRACTIONAL ECONOMICS SYSTEMS 修正模拟函数的不动点定理及其在分数经济系统中的应用
Nonlinear Functional Analysis and Applications Pub Date : 2021-02-23 DOI: 10.22771/NFAA.2021.26.01.10
H. Nashine, R. Ibrahim, Y. Cho, J. Kim
{"title":"FIXED POINT THEOREMS FOR THE MODIFIED SIMULATION FUNCTION AND APPLICATIONS TO FRACTIONAL ECONOMICS SYSTEMS","authors":"H. Nashine, R. Ibrahim, Y. Cho, J. Kim","doi":"10.22771/NFAA.2021.26.01.10","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.10","url":null,"abstract":"In this paper, first, we prove some common fixed point theorems for the generalized contraction condition under newly defined modified simulation function which generalize and include many results in the literature. Second, we give two numerical examples with graphical representations for verifying the proposed results. Third, we discuss and study a set of common fixed point theorems for two pairs (finite families) of self-mappings. Fi- nally, we give some applications of our results in discrete and functional fractional economic systems.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44381434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
COLLECTIVE FIXED POINTS FOR GENERALIZED CONDENSING MAPS IN ABSTRACT CONVEX UNIFORM SPACES 抽象凸一致空间中广义凝聚映射的集合不动点
Nonlinear Functional Analysis and Applications Pub Date : 2021-02-23 DOI: 10.22771/NFAA.2021.26.01.07
Hoonjoo Kim
{"title":"COLLECTIVE FIXED POINTS FOR GENERALIZED CONDENSING MAPS IN ABSTRACT CONVEX UNIFORM SPACES","authors":"Hoonjoo Kim","doi":"10.22771/NFAA.2021.26.01.07","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.07","url":null,"abstract":"In this paper, we present a fixed point theorem for a family of generalized condensing multimaps which have ranges of the Zima-Hadˇzi c type in Hausdorff KKM uniform spaces. It extends Himmelberg et al. type fixed point theorem. As applications, we obtain some new collective fixed point theorems for various type generalized condensing multimaps in abstract convex uniform spaces.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49110560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
LOCAL EXISTENCE AND EXPONENTIAL DECAY OF SOLUTIONS FOR A NONLINEAR PSEUDOPARABOLIC EQUATION WITH VISCOELASTIC TERM 一类含粘弹性项的非线性拟抛物方程解的局部存在性和指数衰减
Nonlinear Functional Analysis and Applications Pub Date : 2021-02-23 DOI: 10.22771/NFAA.2021.26.01.03
N. Nhan, Truong Thi Nhan, L. Ngoc, N. Long
{"title":"LOCAL EXISTENCE AND EXPONENTIAL DECAY OF SOLUTIONS FOR A NONLINEAR PSEUDOPARABOLIC EQUATION WITH VISCOELASTIC TERM","authors":"N. Nhan, Truong Thi Nhan, L. Ngoc, N. Long","doi":"10.22771/NFAA.2021.26.01.03","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.03","url":null,"abstract":"In this paper, we investigate an initial boundary value problem for a nonlinear pseudoparabolic equation. At first, by applying the Faedo-Galerkin, we prove local existence and uniqueness results. Next, by constructing Lyapunov functional, we establish a sufficient condition to obtain the global existence and exponential decay of weak solutions.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43084980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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