Quasi-Nonexpansive
Split equality problem and multiple sets split equality problem for quasi nonexpansive multi valued mappings
... of quasi-nonexpansive multi- valued mappings in the framework of infinite-dimensional Hilbert spaces, and propose an algorithm to solve the SEP and MSSEP not requiring to compute the projection on the closed ...
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Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
... The purpose of this paper is study the multi-step iterative algorithm with bounded errors (1.1) for a finite family of generalized asymptotically quasi-nonexpansive map- pings to converge to common fixed ...
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Common Fixed Point Iterations of a Finite Family of Quasi-nonexpansive Maps
... Theorem 1.3 [16, Theorem 1]. Let C be a nonempty closed convex subset of a uniformly convex Banach space X , and T a quasi-nonexpansive selfmap of C satisfying the Condition B. Then, the Ishikawa iteration ...
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New Iterative Schemes for Asymptotically Quasi Nonexpansive Mappings
... asymptotically nonexpansive mapping, the asymptotically quasi-nonexpansive mapping, and the generalized quasi-nonexpansive mapping are all the generalized asymptotically ...
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Uniformly closed replaced AKTT or ∗AKTT condition to get strong convergence theorems for a countable family of relatively quasi-nonexpansive mappings and systems of equilibrium problems
... Now, we shall first introduce the notion of uniformly closed mappings and give an example which is a countable family of uniformly closed relatively quasi-nonexpansive mappings but not a countable family of ...
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Fixed point iteration for asymptotically quasi nonexpansive mappings in Banach spaces
... In this paper, we will extend the iterative scheme (1.1) to the iterative scheme of asymp- totically quasi-nonexpansive mappings with error members. Moreover, we will prove the strong convergence of ...
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Common Fixed Point of a Finite-step Iteration Algorithm Under Total Asymptotically Quasi-nonexpansive Maps
... 2. Saluja GS, kim JK. Convergence of common fixed point of finite step iteration process for generalized asymptotically quasi-nonexpansive mappings, Nonlinear Funct. Anal. Appl. 2014; 19(1): 79-98, ...
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Approximating common fixed points of families of quasi nonexpansive mappings
... A fixed point theorem for two quasi-nonexpansive mappings is proved and is then extended for a finite family of mappings It is shown that results of this paper reduces to those of Ishika[r] ...
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General viscosity approximation methods for quasi nonexpansive mappings with applications
... for quasi-nonexpansive mappings in the setting of infinite-dimensional Hilbert ...of quasi-nonexpansive mappings in Hilbert spaces, which is also the unique solution of some variational ...
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Convergece Theorems for Finite Families of Asymptotically Quasi Nonexpansive Mappings
... called nonexpansive if Tx − T y ≤ x − y for every x, y ∈ K, and quasi-nonexpansive if F(T) : = { x ∈ K : Tx = x } = ∅ and Tx − p ≤ x − p for every x ∈ K and p ∈ F(T ...asymptotically ...
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A general iterative method for quasi nonexpansive mappings in Hilbert space
... of nonexpansive mappings in Hilbert spaces. Recall that nonexpansive mappings belong to quasi- nonexpansive ...to quasi-nonexpansive mappings in Hilbert ...
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Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi--Nonexpansive Mapping in Banach Space
... -asymptotically quasi-nonexpansive mapping defined on a uniformly convex Banach ...asymptotically quasi I-nonexpansive mapping, and let I : K → K be an asymptotically ...
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Approximate Fixed Points for Nonexpansive and Quasi-Nonexpansive Mappings in Hyperspaces
... a nonexpansive mapping T which maps a closed bounded convex subset C of a uniformly convex Banach space into itself has a fixed point in ...with nonexpansive and quasi-nonexpansive mappings ...
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On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
... The purpose of this paper is to study the convergence of the implicit iteration process 1.18 for two finite families of generalized asymptotically quasi-nonexpansive mappings. Strong convergence theorems ...
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Split feasibility and fixed point problems for asymptotically quasi nonexpansive mappings
... The purpose of this paper to study and analyze an relaxed extragradient method with regularization for finding a common element of the solution set of the SFP and the set solutions of fixed points for asymptotically ...
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The modified split generalized equilibrium problem for quasi nonexpansive mappings and applications
... of quasi-nonexpansive mappings and the set of solutions of the modified split generalized equilibrium problem without assuming a demicloseness condition and T ω := (1 – ω )I + ω T, where T is a ...
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A new iterative algorithm for split solution problems of quasi nonexpansive mappings
... In Section , we gave a strong convergence algorithm for the problem (.). By the al- gorithm, we also considered the split solution problem for two finite families of quasi- nonexpansive mappings; see the ...
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Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces
... Let H be a real Hilbert space, let F be a -Lipschitzian and h-strongly monotone operator on H with k > 0, h > 0, and let T be a quasi-nonexpansive mapping on H, and f is a L-Lipschitzian mapping with ...
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A Strong Convergence Theorem for a Family of Quasi--Nonexpansive Mappings in a Banach Space
... It is well known that, in an infinite-dimensional Hilbert space, the normal Mann’s iterative algorithm has only weak convergence, in general, even for nonexpansive mappings. Consequently, in order to obtain strong ...
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Shrinking Projection Method of Common Solutions for Generalized Equilibrium Quasi Nonexpansive Mapping and Relatively Nonexpansive Mapping
... In this section, we prove a strong convergence theorem which is the main result in the paper. Theorem 3.1. Let E be a uniformly smooth and uniformly convex Banach space, and let C be a nonempty closed convex subset of E. ...
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