Fixed points for generalized nonexpansive mappings in R-trees
We prove the existence of a fixed point for multivalued generalized nonexpansive mappings in an R-tree. In the case where these mappings commute with a quasi-nonexpansive mapping, we also prove existence of a common fixed ...
Markin, Jack, Jack Markin
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Iterative Schemes for Fixed Point Computation of Nonexpansive Mappings
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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Invariant approximation for fuzzy nonexpansive mappings [PDF]
summary:We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly
Beg, Ismat, Abbas, Mujahid
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Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
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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About Some Families of Nonexpansive Mappings with respect to Renorming
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
Mixed Approximation for Nonexpansive Mappings in Banach Spaces
The mixed viscosity approximation is proposed for finding fixed points of nonexpansive mappings, and the strong convergence of the scheme to a fixed point of the nonexpansive mapping is proved in a real Banach space with uniformly Gâteaux differentiable ...
Fu-Quan Xia +2 more
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On generic convergence of successive approximations of mappings with convex and compact point images. [PDF]
Bargetz C, Medjic E, Pirk K.
europepmc +1 more source
A simple computational algorithm with inertial extrapolation for generalized split common fixed point problems. [PDF]
Gebrie AG, Bedane DS.
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An implicit iterative process for nonexpansive mappings
. The purpose of this paper is to study weak and strong convergence of a new implicit iteration process to a common fixed point for a finite family of nonexpansive mappings in a uniformly convex Banach space. The results obtained in this paper extend and
; H K Scientiae Mathematicae Japonicae Online +2 more
core
Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces
Kirk and Xu studied the existence of fixed points of asymptotic pointwise nonexpansive mappings in the Banach space. In this paper, we investigate these kinds of mappings in modular spaces.
Rudong Chen, Ying Chen, Xue Wang
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