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On the Weak Relatively Nonexpansive Mappings in Banach Spaces [PDF]
Fixed Point Theory and Applications, 2010 In recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive mappings and give two examples which are weak relatively ...
Yongfu Su, Yongchun Xu
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Hybrid Algorithm of Fixed Point for Weak Relatively Nonexpansive Multivalued Mappings and Applications [PDF]
Abstract and Applied Analysis, 2012 The purpose of this paper is to present the notion of weak relatively nonexpansive multi-valued mapping and to prove the strong convergence theorems of fixed point for weak relatively nonexpansive multivalued mappings in Banach spaces.
Jingling Zhang +2 more
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Cyclic Relatively Nonexpansive Mappings with Respect to Orbits and Best Proximity Point Theorems [PDF]
Journal of Mathematics, 2021 In this article, we introduce cyclic relatively nonexpansive mappings with respect to orbits and prove that every cyclic relatively nonexpansive mapping with respect to orbits T satisfying TA⊆B,TB⊆A has a best proximity point.
Laishram Shanjit +2 more
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Computational and Mathematical MethodsIt is our aim to propose a new iterative algorithm with an inertial term involving asymptotically nonexpansive mapping in the framework of Hilbert spaces.
Emmanuel Akaligwo +4 more
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Hybrid Algorithm for Common Fixed Points of Uniformly Closed Countable Families of Hemirelatively Nonexpansive Mappings and Applications [PDF]
Journal of Applied Mathematics, 2012 The authors have obtained the following results: (1) the definition of uniformly closed countable family of nonlinear mappings, (2) strong convergence theorem by the monotone hybrid algorithm for two countable families of hemirelatively nonexpansive ...
Sumei Ai, Yongfu Su
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Journal of Inequalities and Applications, 2022 In this article, we introduce a new type of non-expansive mapping, namely weakly K-nonexpansive mapping, which is weaker than non-expansiveness and stronger than quasi-nonexpansiveness.
Sayantan Panja +4 more
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Journal of Inequalities and Applications, 2009 A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and studied. We prove strong convergence theorem of the new iterative scheme to a common element of the set of fixed points of ...
Klin-eam Chakkrid, Suantai Suthep
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A Modified Proximal Point Algorithm and Some Convergence Results
Journal of Mathematics, 2021 In this paper, the convergence to minimizers of a convex function of a modified proximal point algorithm involving a single-valued nonexpansive mapping and a multivalued nonexpansive mapping in CAT(0) spaces is studied and a numerical example is given to
Shengquan Weng, Dingping Wu, Zengfu Chao
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Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 The purpose of this paper is to study the convergence theorems in CAT ( κ ) $\operatorname{CAT} (\kappa )$ spaces with k > 0 $k > 0$ for total asymptotically nonexpansive mappings which are essentially wider than nonexpansive mappings, asymptotically ...
Shih-sen Chang +3 more
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Convergence of Panigrahy iteration process for Suzuki generalized nonexpansive mapping in uniformly convex Banach space [PDF]
Journal of HyperstructuresIn this paper, we establish strong and weak convergence theorems for Suzuki's generalized nonexpansive mapping in uniformly convex Banach spaces using the iterative scheme introduced by Panigrahy et al [9]. Next, we see an example of Suzuki's generalized
Omprash Sahu, Amitabh Banerjee
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