DELTA-CONVERGENCE FOR ASYMPTOTICALLY NONEXPANSIVE MAPPING IN CAT(K) SPACE THROUGH MODIFIED S- ITERATION PROCEDURE [PDF]
, 2016 In this paper we establish convergence theorem for asymptotically non expansive mapping in CAT () space and will approximate fixed point through modified S-iteration procedure. Keywords: Fixed point ,Asymptotically nonexpansive mapping, -convergence,CAT
Rajput, Anil +2 more
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Journal of Applied Mathematics, 2012 We introduce a new regularization iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping. Then, we prove a strong convergence theorem for nonexpansive mappings to solve a unique solution of the variational inequality and the
Shuo Sun
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Convergence of Ishikawa Iterates of Quasi-Nonexpansive Mappings [PDF]
, 1997 This paper deals with a necessary and sufficient condition for the convergence of Ishikawa iterates of quasi-nonexpansive mapping in a Banach space. The convergence of Ishikawa iterates for nonexpansive mappings in a uniformly convex Banach space is also
Ghosh, M.K. +2 more
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Robustness of Mann Type Algorithm with Perturbed Mapping for Nonexpansive Mappings in Banach Spaces [PDF]
, 2010 The purpose of this paper is to study the robustness of Mann type algorithm in the sense that approximately perturbed mapping does not alter the convergence of Mann type algorithm.
Ceng LC, Yao JC, Liou YC
core
Journal of Function Spaces, 2019 In this paper, we introduce a new accelerated iteration for finding a fixed point of monotone generalized α-nonexpansive mapping in an ordered Banach space.
Yi-An Chen, Dao-Jun Wen
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Hybrid Noor iteration method for nonexpansive mappings in Hilbert spaces [PDF]
, 2009 In this paper, hybrid Noor iteration method was introduced for nonexpansive mappings in Hilbert spaces. The sufficient and necessary conditions that the iteration sequences converge strongly to a fixed point of a nonexpansive mapping are obtained in ...
Huang, Jianhua +3 more
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Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces [PDF]
, 2020 We introduce a concept of weak Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive mapping. By using projection techniques, we construct several modification of Mann type iterative algorithms with errors and ...
Yue Zheng +3 more
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Halpern-type iterations for strongly relatively nonexpansive mappings in Banach spaces [PDF]
, 2011 In this paper, we note that the main convergence theorem in Zhang et al. (2011) [21] is incorrect and we prove a correction. We also modify Halpern’s iteration for finding a fixed point of a strongly relatively nonexpansive mapping in a Banach space ...
Weerayuth Nilsrakoo +1 more
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The modified extragradient method for nonexpansive multivalued mappings and variational inequality problems [PDF]
, 2019 [[abstract]]In this paper, we prove the strong convergence of an approximating common element of the set of fixed points of a nonexpansive multivalued mapping and the set of solutions of a variational inequality problem for a monotone, Lipschitz ...
Thatsawan Homhual +2 more
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A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space
Applied General Topology, 2019 The main purpose of this paper is to introduce a viscosity-type proximal point algorithm, comprising of a nonexpansive mapping and a finite sum of resolvent operators associated with monotone bifunctions. A strong convergence of the proposed algorithm to
C. Izuchukwu +3 more
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