total asymptotically nonexpansive mapping
Strong convergence to a fixed point of a total asymptotically nonexpansive mapping
... In this paper, we prove strong convergence for the modified Ishikawa iteration process of a total asymptotically nonexpansive mapping satisfying condition (A) in a real uniformly convex Banach ...
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Strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)
... of total asymptotically nonexpansive mapping as ...a mapping. T is said to be a total asymptotically nonexpansive mapping if there exist non-negative real ...
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An Implicit Algorithm for a Family of Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
... of total asymptotically nonexpansive mapping as ...a mapping. T is said to be a total asymptotically nonexpansive mapping if there exist non-negative real ...
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Convergence Theorem for Finite Family of Total Asymptotically Nonexpansive Mappings
... a total asymptotically nonexpansive self map T on K in the setting of smooth re- flexive real Banach space with weakly sequentially continuous duality ...the mapping T , Yang, Lion and Yao ...
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Strong and Δ-convergence for mixed type total asymptotically nonexpansive mappings in CAT(0) spaces
... every nonexpansive mapping defined on a bounded closed convex subset of a complete CAT() space always has a fixed ...for nonexpansive mappings, asymptotically nonexpansive mappings in a ...
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Approximating fixed points of total asymptotically nonexpansive mappings
... In all the above papers, the operator T remains a self-mapping of nonempty closed convex subset K in a uniformly convex Banach space. If, however, domain D(T ) of T is a proper subset of E (and this is indeed the ...
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Modified Picard-Mann hybrid iteration process for total asymptotically nonexpansive mappings
... every nonexpansive mapping defined on a bounded closed convex subset of a complete CAT() space always has a fixed ...for asymptotically nonexpansive mappings in CAT() space and obtained a ...
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Strong convergence for total quasi-ϕ-asymptotically nonexpansive semigroups in Banach spaces
... Throughout this article, we assume that E is a real Banach space with norm · , E ∗ is the dual space of E; · , · is the duality pairing between E and E ∗ ; C is a nonempty closed convex subset of E; N and R denote the ...
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On total asymptotically nonexpansive mappings in CAT(κ) spaces
... a mapping T : K → K is said to be semi-compact if K is closed and each bounded AFPS for T in K has a convergent ...continuous total asymptotically nonexpansive semi-compact ...
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A generalization and improvement of Chidume theorems for total asymptotically nonexpansive mappings in Banach spaces
... of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [1] as a generalization of the class of nonexpansive ...an asymptotically nonexpansive mapping, then T ...
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Fixed points of nonself total asymptotically nonexpansive mappings in hyperbolic spaces
... of nonexpansive, asymptotically nonexpansive mappings, total asymptotically non- expansive mapping and nearly asymptotically nonexpansive self maps in the course of ...
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Convergence theorems for finite families of total asymptotically nonexpansive mappings in hyperbolic spaces
... called nonexpansive if d(Tx, Ty) ≤ d(x, y) for all x, y ∈ X and quasi-nonexpansive if F(T ) := {x ∈ X : Tx = x} = ∅ and d(Tx, p) ≤ d(x, p) for all x ∈ X and p ∈ ...of nonexpansive mappings with fixed ...
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The split common fixed point problem for asymptotically nonexpansive semigroups in Banach spaces
... uniformly asymptotically regular nonexpansive semigroup and a total asymptotically strict pseudo-contractive mapping in Hilbert ...
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Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings
... Recently, fixed point problems of nonself mappings have been studied by a number of authors; see, for example, 20–30. Next, we draw our attention to nonself mappings. Let K be a nonempty subset of a Banach space E, T : K ...
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Fixed point solutions of variational inequalities for a semigroup of asymptotically nonexpansive mappings in Banach spaces
... In this paper, motivated by the above results, we introduce two iterative algorithms for finding a common fixed point of a semigroup of asymptotically nonexpansive mappings which is a unique solution of some ...
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Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings
... an asymptotically quasi-j-nonexpansive mapping which is an another gen- eralization of asymptotically nonexpansive mappings in Hilbert spaces and in the solu- tion set of the ...
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Convergence of general algorithm for I generalized asymptotically nonexpansive nonself mappings in uniformly convex hyperbolic spaces
... I-generalized asymptotically nonexpansive nonself-mapping in a nonempty closed convex subset of complete uniformly convex hyperbolic spaces and study the strong convergence for such ...
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Demiclodeness and fixed points of g-asymptotically nonexpansive mapping in Banach spaces with graph
... Lipschitzian mapping T : C → X with the Lipschitz constant L ≥ 1, any finite many elements {x i } n i=1 in C and any finite many nonnegative numbers {t i } n ...
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△ Convergence analysis of improved Kuhfittig iterative for asymptotically nonexpansive nonself mappings in W hyperbolic spaces
... In fact, a few important results of the problems in various disciplines of science be- ing nonlinear in nature were studied only in CAT() space. In , the concept of -convergence in general metric spaces was coined ...
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Viscosity approximation methods for asymptotically nonexpansive mapping in CAT(0) spaces
... a mapping T of C into itself is called nonexpansive iff d(Tx, Ty) ≤ d(x, y) for all x, y ∈ ...a nonexpansive mapping T is closed and convex. A mapping T of C into itself is called ...
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