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Fixed Point Theory and Applications最新文献

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Convergence and stability of modified multi-step Noor iterative procedure with errors for strictly hemicontractive-type mappings in Banach spaces 巴拿赫空间中严格半收缩型映射的修正多步努尔迭代程序的收敛性和稳定性（带误差
Fixed Point Theory and Applications Pub Date : 2021-03-08 DOI: 10.1186/s13663-021-00692-6
Md. Asaduzzaman
{"title":"Convergence and stability of modified multi-step Noor iterative procedure with errors for strictly hemicontractive-type mappings in Banach spaces","authors":"Md. Asaduzzaman","doi":"10.1186/s13663-021-00692-6","DOIUrl":"https://doi.org/10.1186/s13663-021-00692-6","url":null,"abstract":"In this paper, we introduce and study a modified multi-step Noor iterative procedure with errors for two Lipschitz strictly hemicontractive-type mappings in arbitrary Banach spaces and constitute its convergence and stability. The obtained results in this paper generalize and extend the corresponding result of Hussain et al. (Fixed Point Theory Appl. 2012:160, 2012) and some analogous results of several authors in the literature. Finally, a numerical example is included to illustrate our analytical results and to display the efficiency of our proposed novel iterative procedure with errors.","PeriodicalId":12293,"journal":{"name":"Fixed Point Theory and Applications","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140885750","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
New Tseng’s extragradient methods for pseudomonotone variational inequality problems in Hadamard manifolds 哈达玛流形中伪单调变分不等式问题的新曾外梯度方法
Fixed Point Theory and Applications Pub Date : 2021-02-22 DOI: 10.1186/s13663-021-00689-1
Konrawut Khammahawong, Poom Kumam, Parin Chaipunya, Somyot Plubtieng
{"title":"New Tseng’s extragradient methods for pseudomonotone variational inequality problems in Hadamard manifolds","authors":"Konrawut Khammahawong, Poom Kumam, Parin Chaipunya, Somyot Plubtieng","doi":"10.1186/s13663-021-00689-1","DOIUrl":"https://doi.org/10.1186/s13663-021-00689-1","url":null,"abstract":"We propose Tseng’s extragradient methods for finding a solution of variational inequality problems associated with pseudomonotone vector fields in Hadamard manifolds. Under standard assumptions such as pseudomonotone and Lipschitz continuous vector fields, we prove that any sequence generated by the proposed methods converges to a solution of variational inequality problem, whenever it exits. Moreover, we give some numerical experiments to illustrate our main results.","PeriodicalId":12293,"journal":{"name":"Fixed Point Theory and Applications","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140885757","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
Common fixed point for some generalized contractive mappings in a modular metric space with a graph 带图的模块化度量空间中某些广义收缩映射的共同固定点
Fixed Point Theory and Applications Pub Date : 2021-02-08 DOI: 10.1186/s13663-021-00690-8
Karim Chaira, Abderrahim Eladraoui, Mustapha Kabil, Abdessamad Kamouss
{"title":"Common fixed point for some generalized contractive mappings in a modular metric space with a graph","authors":"Karim Chaira, Abderrahim Eladraoui, Mustapha Kabil, Abdessamad Kamouss","doi":"10.1186/s13663-021-00690-8","DOIUrl":"https://doi.org/10.1186/s13663-021-00690-8","url":null,"abstract":"In this paper, we investigate the existence and the uniqueness of a common fixed point of a pair of self-mappings satisfying new contractive type conditions on a modular metric space endowed with a reflexive digraph. An application is given to show the use of our main result.","PeriodicalId":12293,"journal":{"name":"Fixed Point Theory and Applications","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140885754","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
A fixed point theorem for generalized ((psi ,varphi ))-weak contractions in Branciari type generalized metric spaces Branciari 型广义计量空间中的广义弱收缩的定点定理
Fixed Point Theory and Applications Pub Date : 2021-01-25 DOI: 10.1186/s13663-021-00688-2
Zhiqun Xue, Guiwen Lv
{"title":"A fixed point theorem for generalized ((psi ,varphi ))-weak contractions in Branciari type generalized metric spaces","authors":"Zhiqun Xue, Guiwen Lv","doi":"10.1186/s13663-021-00688-2","DOIUrl":"https://doi.org/10.1186/s13663-021-00688-2","url":null,"abstract":"In this paper, we obtain a new convergence theorem for fixed points of weak contractions in Branciari type generalized metric spaces under weaker conditions. The proof process of the theorem is new and different from that of other authors. An illustrative example of this theorem is to show how the new conditions extend known results.","PeriodicalId":12293,"journal":{"name":"Fixed Point Theory and Applications","volume":"2013 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140885892","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
The iterative solutions of split common fixed point problem for asymptotically nonexpansive mappings in Banach spaces Banach空间中渐近非扩张映射的分裂公共不动点问题的迭代解
Fixed Point Theory and Applications Pub Date : 2020-12-01 DOI: 10.1186/s13663-020-00686-w
Yuanheng Wang, Xiuping Wu, Chanjuan Pan
{"title":"The iterative solutions of split common fixed point problem for asymptotically nonexpansive mappings in Banach spaces","authors":"Yuanheng Wang, Xiuping Wu, Chanjuan Pan","doi":"10.1186/s13663-020-00686-w","DOIUrl":"https://doi.org/10.1186/s13663-020-00686-w","url":null,"abstract":"","PeriodicalId":12293,"journal":{"name":"Fixed Point Theory and Applications","volume":"2020 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13663-020-00686-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65789539","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
Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces 模态空间中单调ρ-无穷半群的公共定点
Fixed Point Theory and Applications Pub Date : 2020-11-09 DOI: 10.1186/s13663-020-00684-y
Noureddine El Harmouchi, Karim Chaira, El Miloudi Marhrani
{"title":"Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces","authors":"Noureddine El Harmouchi, Karim Chaira, El Miloudi Marhrani","doi":"10.1186/s13663-020-00684-y","DOIUrl":"https://doi.org/10.1186/s13663-020-00684-y","url":null,"abstract":"In this paper, we consider the class of monotone ρ-nonexpansive semigroups and give existence and convergence results for common fixed points. First, we prove that the set of common fixed points is nonempty in uniformly convex modular spaces and modular spaces. Then we introduce an iteration algorithm to approximate a common fixed point for the same class of semigroups.","PeriodicalId":12293,"journal":{"name":"Fixed Point Theory and Applications","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140885755","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
Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces 错位准计量空间中格拉基准收缩型映射的定点结果
Fixed Point Theory and Applications Pub Date : 2020-11-02 DOI: 10.1186/s13663-020-00683-z
Joy C. Umudu, Johnson O. Olaleru, Adesanmi A. Mogbademu
{"title":"Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces","authors":"Joy C. Umudu, Johnson O. Olaleru, Adesanmi A. Mogbademu","doi":"10.1186/s13663-020-00683-z","DOIUrl":"https://doi.org/10.1186/s13663-020-00683-z","url":null,"abstract":"In this paper, fixed point results for a newly introduced Geraghty quasi-contraction type mappings are proved in more general metric spaces called T-orbitally complete dislocated quasi-metric spaces. Geraghty quasi-contraction type mappings generalize, among others, Ciric’s quasi-contraction mappings and other Geraghty quasi-contractive type mappings in the literature. Fixed point results are obtained without imposing a continuity condition on the mapping, thereby further generalizing some other related work in the literature. An example is given to show the validity of results obtained.","PeriodicalId":12293,"journal":{"name":"Fixed Point Theory and Applications","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140885970","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
A short and sharpened way to approach fixed point results involving fuzzy (mathcal{H})-contractive mappings 处理涉及模糊（mathcal{H}）-收缩映射的定点结果的简捷方法
Fixed Point Theory and Applications Pub Date : 2020-10-01 DOI: 10.1186/s13663-020-00682-0
Hayel N. Saleh, Mohammad Imdad, Md Hasanuzzaman
{"title":"A short and sharpened way to approach fixed point results involving fuzzy (mathcal{H})-contractive mappings","authors":"Hayel N. Saleh, Mohammad Imdad, Md Hasanuzzaman","doi":"10.1186/s13663-020-00682-0","DOIUrl":"https://doi.org/10.1186/s13663-020-00682-0","url":null,"abstract":"In the present paper, we adopt a short and sharpened approach to prove fixed point results involving fuzzy $mathcal{H}$\u0000-contractive mappings utilized in (Wardowski, Fuzzy Sets Syst. 125:245–252, 2013) and other related articles. In this process, we are able to relax some conditions utilized by earlier authors which in turn yields affirmative answers to some open questions raised by earlier authors.","PeriodicalId":12293,"journal":{"name":"Fixed Point Theory and Applications","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140885569","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
K-Correspondences, USCOs, and fixed point problems arising in discounted stochastic games 折扣随机对策中的k -对应、USCOs和不动点问题
Fixed Point Theory and Applications Pub Date : 2020-09-22 DOI: 10.1186/s13663-020-00681-1
Frank H. Page, Jing Fu
{"title":"K-Correspondences, USCOs, and fixed point problems arising in discounted stochastic games","authors":"Frank H. Page, Jing Fu","doi":"10.1186/s13663-020-00681-1","DOIUrl":"https://doi.org/10.1186/s13663-020-00681-1","url":null,"abstract":"","PeriodicalId":12293,"journal":{"name":"Fixed Point Theory and Applications","volume":"2020 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13663-020-00681-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65789525","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
Strong convergence of an inertial algorithm for maximal monotone inclusions with applications 最大单调夹杂的惯性算法的强收敛性及其应用
Fixed Point Theory and Applications Pub Date : 2020-08-21 DOI: 10.1186/s13663-020-00680-2
C. E. Chidume, A. Adamu, M. O. Nnakwe
{"title":"Strong convergence of an inertial algorithm for maximal monotone inclusions with applications","authors":"C. E. Chidume, A. Adamu, M. O. Nnakwe","doi":"10.1186/s13663-020-00680-2","DOIUrl":"https://doi.org/10.1186/s13663-020-00680-2","url":null,"abstract":"An inertial iterative algorithm is proposed for approximating a solution of a maximal monotone inclusion in a uniformly convex and uniformly smooth real Banach space. The sequence generated by the algorithm is proved to converge strongly to a solution of the inclusion. Moreover, the theorem proved is applied to approximate a solution of a convex optimization problem and a solution of a Hammerstein equation. Furthermore, numerical experiments are given to compare, in terms of CPU time and number of iterations, the performance of the sequence generated by our algorithm with the performance of the sequences generated by three recent inertial type algorithms for approximating zeros of maximal monotone operators. In addition, the performance of the sequence generated by our algorithm is compared with the performance of a sequence generated by another recent algorithm for approximating a solution of a Hammerstein equation. Finally, a numerical example is given to illustrate the implementability of our algorithm for approximating a solution of a convex optimization problem.","PeriodicalId":12293,"journal":{"name":"Fixed Point Theory and Applications","volume":"110 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140886069","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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