On α-nonexpansive mappings in Banach spaces [PDF]
, 2016 In 2011 Aoyama and Kohsaka introduced the αα-nonexpansive mappings. Here we present a further study about them and their relationships with other classes of generalized nonexpansive mappings ...
Llorens-Fuster, Enrique +3 more
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Iterative Schemes for Fixed Point Computation of Nonexpansive Mappings
Abstract and Applied Analysis, 2012 Fixed point (especially, the minimum norm fixed point) computation is an interesting topic due to its practical applications in natural science. The purpose of the paper is devoted to finding the common fixed points of an infinite family of nonexpansive ...
Rudong Chen
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Nonexpansive Mappings and Fixed Point Theory in Fuzzy Normed GE-Algebras
AxiomsIn this paper, we investigate the theory of nonexpansive mappings in the framework of fuzzy normed GE-algebras. After recalling the fundamental concepts of GE-algebras and fuzzy GE-norms, we introduce the notion of fuzzy nonexpansive mappings and examine
Prashant Patel +2 more
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Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
Journal of Applied Mathematics, 2014 We prove the demiclosedness principle for a class of mappings which is a generalization of all the forms of nonexpansive, asymptotically nonexpansive, and nearly asymptotically nonexpansive mappings.
Erdal Karapınar +2 more
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On generic convergence of successive approximations of mappings with convex and compact point images. [PDF]
Mon Hefte Math, 2023 Bargetz C, Medjic E, Pirk K.
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A simple computational algorithm with inertial extrapolation for generalized split common fixed point problems. [PDF]
Heliyon, 2021 Gebrie AG, Bedane DS.
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Approximating Common Fixed Point of Three C-? Nonexpansive Mappings
, 2023 In this paper, we consider a new class of nonlinear mappings presented in [12] that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings.
Bayram, Zeynep, Temir, Seyit
core
AxiomsIn this paper, we propose and study an averaged Halpern-type algorithm for approximating the solution of a common fixed-point problem for a couple of nonexpansive and demicontractive mappings with a variational inequality constraint in the setting of a ...
Vasile Berinde, Khairul Saleh
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About Some Families of Nonexpansive Mappings with respect to Renorming
, 2020 We characterize the family of nonexpansive mappings which are invariant under renormings and we also compare the families of nonexpansive mappings under two equivalent ...
Carlos Alberto Hernández-Linares +2 more
core
Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings [PDF]
This paper presents an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth uniformly convex Banach space with respect to a left-regular sequence of means defined on a subset of l∞(S).
Ebrahim Soori +5 more
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