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Enriched multi-valued nonexpansive map**s in geodesic spaces
Enriched multi-valued contraction map**s and enriched multi-valued nonexpansive map**s are introduced in the context of geodesic spaces, and...
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Monotone Generalized α-Nonexpansive Map**s on CATp(0) Spaces
We examine the existence of fixed points of generalized α -nonexpansive map**s on CAT p (0) spaces. We establish various convergence results for a...
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Approximation of common best proximity points for proximally mean nonexpansive map**s in Banach spaces
In this paper, we considered Thakur et al. (J Inequal Appl 2014(328):15, 2014. https://doi.org/10.1186/1029-242X-2014-328 ) iterative process...
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Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions
In this paper, we establish some new variants of fixed point theorems for a large class of countably nonexpansive multi-valued map**s. Some fixed...
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An algorithm for quasiconvex equilibrium problems and asymptotically nonexpansive map**s: application to a Walras model with implicit supply–demand
We propose a normal subgradient projection algorithm for approximating a solution of equilibrium problems involving quasiconvex para-pseudomonotone...
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On the Nonexpansive Operators Based on Arbitrary Metric: A Degenerate Analysis
We in this paper study the nonexpansive operators equipped with arbitrary metric and investigate the connections between firm nonexpansiveness,...
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Nonexpansive maps with surjective displacement
We investigate necessary and sufficient conditions for a nonexpansive map f on a Banach space X to have surjective displacement, that is, for
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Approximation of fixed points of enriched asymptotically nonexpansive map**s in CAT(0) spaces
In this paper, a new iteration process involving enriched asymptotically nonexpansive map** is defined in the setting of CAT(0) spaces. Strong and
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Fixed points of weakly K-nonexpansive map**s and a stability result for fixed point iterative process with an application
In this article, we introduce a new type of non-expansive map**, namely weakly K -nonexpansive map**, which is weaker than non-expansiveness and...
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Convergence analysis of a new implicit iteration process for asymptotically nonexpansive map**s in the intermediate sense in Banach spaces
We propose a new implicit iteration process for finding a common element of the sets of solutions of a finite family of non-Lipschitzian...
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Comments on the cosmic convergence of nonexpansive maps
This note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant...
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Variational Inequality Problem Involving Multivalued Nonexpansive Map** in CAT(0) Spaces
In this paper, we introduce a new type of variational inequality problem (VIP) involving nonself multivalued map**s in CAT(0) spaces. We show that...
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Fixed point approximation for a class of generalized nonexpansive multi-valued map**s in Banach spaces
In this paper, we propose a new iteration process, called multi-valued F -iteration process, for the approximation of fixed points. We introduce a new...
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General semi-implicit approximations with errors for common fixed points of nonexpansive-type operators and applications to Stampacchia variational inequality
It is meaningful and valuable to find common fixed points of different nonexpansive-type operators, which are associated with variational...
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Convergence of SP-Iterations for Generalized Nonexpansive Map**s in Banach Spaces
Phuengrattana and Suantai [ J. Comput. Appl. Math. , 235 , 3006–3014 (2011)] introduced an iterative scheme and they named this iteration as...
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A Mean Ergodic Theorem for Nonexpansive Map**s in Hadamard Spaces
In this paper, we prove a mean ergodic theorem for nonexpansive map**s in Hadamard (nonpositive curvature complete metric) spaces, which extends...