quasi-nonexpansive mappings
Strong convergence theorems of general split equality problems for quasi nonexpansive mappings
... quasi-nonexpansive mappings in Hilbert spaces. As an application, we shall utilize our results to study the null point problem of maximal monotone operators, the split feasibility problem, and the ...
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A new iterative algorithm for split solution problems of quasi nonexpansive mappings
... Let T : K → K be a mapping and K a subset of a Banach space E. T is called a nonex- pansive mapping if, for all x, y ∈ K, Tx – Ty ≤ x – y. T is called quasi-nonexpansive, if F(T ) = ∅ and for all x ∈ K, p ∈ ...
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General viscosity approximation methods for quasi nonexpansive mappings with applications
... for quasi-nonexpansive mappings and split equality problems, in this paper we first intro- duce a general viscosity approximation method for quasi-nonexpansive ...of ...
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Convergece Theorems for Finite Families of Asymptotically Quasi Nonexpansive Mappings
... Ghosh and Debnath [3] extended the results in [4] and proved necessary and suf- ficient conditions for strong convergence of Ishikawa-type [11] iteration process to a fixed point of a quasi-nonexpansive ...
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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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On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
... The purpose of this paper is to introduce and consider a general implicit iterative process which includes Schu’s explicit iterative processes and Sun’s implicit iterative processes as special cases for a finite family ...
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The modified split generalized equilibrium problem for quasi nonexpansive mappings and applications
... a quasi-nonexpansive mapping and the set of solutions of the modified split generalized equilibrium ...nonspreading mappings and the set of solutions of the modified split generalized equilibrium ...of ...
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A strong convergence theorem for Bregman asymptotically quasi-nonexpansive mappings in the intermediate sense
... cally quasi-nonexpansive mappings with respect to Bregman distances in the intermedi- ate sense by using the shrinking projection ...of mappings of nonexpansive type with respect to the ...
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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
... relatively quasi-nonexpansive mappings and a system of equilibrium problems in a uniformly convex and uniformly smooth real Banach space using the properties of generalized f -projection ...closed ...
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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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Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
... Abstract. The purpose of this paper is to study and give the necessary and sufficient condition of strong convergence of the multi-step iterative algorithm with errors for a finite family of generalized asymptotically ...
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Split feasibility and fixed point problems for asymptotically quasi nonexpansive mappings
... The purpose of this paper is to introduce and analyze a weakly convergent theorem by using the regularized method and the relaxed extragradient method for finding a common element of the solution set of the split ...
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3. An implicit iteration scheme with errors for Common fixed points of generalized asymptotically quasi-nonexpansive mappings
... More recently, Nantadilok [15] (Thai J. Math. 6(2) (2008), 297-308) extended and improved the result of Lan [11] and gave the necessary and sufficient condition for convergence of common fixed point for three-step iteration ...
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Approximate Fixed Points for Nonexpansive and Quasi-Nonexpansive Mappings in Hyperspaces
... every nonexpansive mapping with nonempty fixed point set is quasi-nonexpansive, but the converse is not true; see ...of nonexpansive mappings with nonempty fixed point set is a proper ...
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New Iterative Schemes for Asymptotically Quasi Nonexpansive Mappings
... Further, Lan 3 remarked that the above iterative processes include many iterative processes as special cases and he gave a sufficient and necessary condition for the iterative sequence to converge to the common fixed ...
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Common Fixed Point Iterations of Generalized Asymptotically Quasi Nonexpansive Mappings in Hyperbolic Spaces
... We introduce a general iterative method for a finite family of generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong convergence. The new iterative method ...
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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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Strong Convergence Theorems of Common Fixed Points for a Family of Quasi--Nonexpansive Mappings
... Recently, hybrid projection algorithms have been studied for the fixed point problems of nonlinear mappings by many authors; see, for example, 8–24. In 2006, Martinez-Yanes and Xu 10 proposed the following ...
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A Strong Convergence Theorem for a Family of Quasi--Nonexpansive Mappings in a Banach Space
... The purpose of this paper is to propose a modified hybrid projection algorithm and prove a strong convergence theorem for a family of quasi-φ-nonexpansive mappings. The strong convergence theorem is ...
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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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