Uniformly Smooth Banach Spaces
General convergence analysis of projection methods for a system of variational inequalities in q uniformly smooth Banach spaces
... In this paper, we introduce and consider a system of variational inequalities involving two different operators in q-uniformly smooth Banach spaces. We suggest and analyze a new explicit ...
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Iterative solutions of K positive definite operator equations in real uniformly smooth Banach spaces
... with p ≥ 2, an iteration method which converges strongly to the unique solution, pro- vided that T and K commute. Chidume and Osilike [5] gave a new iteration scheme, in separable q-uniformly smooth ...
6
A Generalized Nonlinear Random Equations with Random Fuzzy Mappings in Uniformly Smooth Banach Spaces
... Inspired and motivated by recent works in these fields see 2, 13, 14, 18–29, in this paper, we introduce and study a class of general nonlinear random equations with random fuzzy mappings in Banach spaces. ...
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Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications
... Our purpose in this paper is to prove some existence theorems for solutions of a certain system of the multivariate nonexpansive operator equations and to calculate the solutions by using the generalized Mann and Halpern ...
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A new general iterative algorithm with Meir-Keeler contractions for variational inequality problems in q-uniformly smooth Banach spaces
... In this paper, we generalize the iterative scheme and extend the space studied in (Fixed Point Theory and Applications 2012:46, 2012). Further, we prove some strong convergence theorems of the new iterative scheme for ...
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A New System of Nonlinear Fuzzy Variational Inclusions Involving Accretive Mappings in Uniformly Smooth Banach Spaces
... in uniformly smooth Banach spaces is introduced and studied many fuzzy variational and variational inequality inclusion problems as special cases of this ...in uniformly smooth ...
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Fixed point solutions for variational inequalities in image restoration over q uniformly smooth Banach spaces
... The problems of image recovery are connected with the convex feasibility problem, con- vex minimization problems, multiple-set split feasibility problems, common fixed point problems, and variational inequalities. In ...
24
Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces
... The purpose of this paper is to solve the hierarchical variational inequality with the constraint of a general system of variational inequalities in a uniformly convex and 2-uniformly smooth ...
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The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces
... The aim of this paper is to introduce a viscosity iterative algorithm for the implicit midpoint rule of nonexpansive mappings in uniformly smooth spaces. Under some appropriate conditions on the ...
12
Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces
... a uniformly smooth Banach space, then J is single valued such that J( − x) = − J(x), J(tx) = tJ(x) for all t ≥ 0, x ∈ E; and J is uniformly continuous on any bounded subset of ...
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Approximation of common solutions for variational inequalities and fixed point of strict pseudo-contractions in q-uniformly smooth Banach spaces
... 11. Aoyama, K, Kimura, Y, Takahashi, W, Toyoda, M: Approximation of common fixed points of a countable family of nonexpansive mapping in a Banach space. Nonlinear Anal., Theory Methods Appl. 67, 2350-2360 (2007) ...
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The convergence theorems of Ishikawa iterative process with errors for Φ-hemi-contractive mappings in uniformly smooth Banach spaces
... Keywords: generalized Lipschitz mapping; -hemi-contractive mapping; Ishikawa iterative sequence with errors; uniformly smooth real Banach space.. 1 Introduction and preliminary.[r] ...
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An Iterative Shrinking Generalized -Projection Method for -Quasi-strict Pseudo-contractions in Banach Spaces
... to uniformly convex and uniformly smooth Banach spaces and studied their properties in ...from uniformly convex and uniformly smooth Banach spaces to ...
6
Approximation of Solutions to a System of Variational Inclusions in Banach Spaces
... both uniformly convex and uniformly smooth Banach spaces are L p , where p > ...2}-uniformly smooth for any p > 1. Next, we assume that E is a smooth ...
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Strong Convergence Theorems of Modified Ishikawa Iterative Method for an Infinite Family of Strict Pseudocontractions in Banach Spaces
... We introduce a new modified Ishikawa iterative process and a new W-mapping for comput- ing fixed points of an infinite family of strict pseudocontractions mapping in the framework of q-uniformly smooth ...
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Inequalities for sums of adapted random fields in Banach spaces and their application to strong law of large numbers
... p-uniformly smooth Banach spaces are ...p-uniformly smooth Banach space, in which the results of [, , ] will be ...
14
A New System of Generalized Nonlinear Mixed Variational Inclusions in Banach Spaces
... q-uniformly smooth Banach spaces and prove the existence and uniqueness of solutions and the convergence of several new two-step iterative algorithms with or without errors for this system of ...
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Stability of the Ishikawa iteration scheme with errors for two strictly hemicontractive operators in Banach spaces
... real smooth Banach spaces, real uniformly smooth Banach spaces, real Banach spaces; or to the Mann iteration method, the Ishikawa iteration method; or to ...
14
Strong convergence of modified Noor iterations
... of Banach spaces and proved that if E is a uniformly smooth Banach space, then x t converges strongly to a fixed point of T and the limit defines the (unique) sunny nonexpansive ...
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Fixed point theory for nonlinear mappings in Banach spaces and applications
... in uniformly convex and -smooth Banach spaces to prove a strong convergence theorem for finding a common element of the set of fixed points of finite families of nonexpansive and strictly ...
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