reflexive Banach spaces
Applications of W A Kirk's fixed point theorem to generalized nonlinear variational like inequalities in reflexive Banach spaces
... We introduce and study a new class of generalized nonlinear variational-like inequalities, which includes these variational inequalities and variational-like inequalities due to Bose, Cubiotti, Dien, Ding, Ding and ...
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Approximation in reflexive Banach spaces and applications to the invariant subspace problem
... a reflexive, smooth and strictly convex Banach ...to reflexive Banach spaces, we obtain sufficient conditions for the existence of hyperinvariant subspaces for some operators that are ...
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On solvability of general nonlinear variational like inequalities in reflexive Banach spaces
... Recently, variational inequality theory has been extended and applied in various direc- tions, see [6, 7, 8, 9, 10] and the references therein. In particular, Ding [1, 2, 3], and Ding and Tan [4] studied the existence of ...
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Composite iterative schemes for maximal monotone operators in reflexive Banach spaces
... In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by ...
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Strong Convergence of Iterative Schemes for Zeros of Accretive Operators in Reflexive Banach Spaces
... We introduce composite iterative schemes by the viscosity iteration method for finding a zero of an accretive operator in reflexive Banach spaces. Then, under certain differen control conditions, we ...
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Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces
... 1. Introduction. It is well known that variational inequality theory has sig- nificant applications in various fields of mathematics, physics, economics, and engineering science. Siddiqi et al. [6] considered the ...
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Generalized strict feasibility and solvability for generalized vector equilibrium problem with set valued map in reflexive Banach spaces
... In this article, the strict feasibility and solvability of generalized vector equilibrium problem with set-valued mapping in reflexive Banach spaces are considered. By introducing two generalized ...
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Some results on zero points of m-accretive operators in reflexive Banach spaces
... It is well known that the Krasnoselski-Mann iterative process only has weak convergence for nonexpansive mappings in infinite-dimensional Hilbert spaces; see [–] for more de- tails and the references therein. In ...
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Feasibility-solvbility theorems for generalized vector equilibrium problem in reflexive banach spaces
... Lemma 2.4 [20,21]Let K be a nonempty, closed and convex subset of a real reflexive Banach space X with its dual X*. Then K is well-positioned if and only if the barrier cone barr(K) of K has a nonempty ...
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Halpern’s iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application
... In this paper, Bregman strongly nonexpansive multi-valued mappings in reflexive Ba- nach spaces are introduced. Under suitable limit conditions, strong convergence theorems for the proposed modified Halpern’s ...
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Strong convergence theorems for Bregman quasi-strict pseudo-contractions in reflexive Banach spaces with applications
... Theorem . Let E be a real reflexive Banach space, C be a nonempty, closed, and con- vex subset of E. Let g : C × C → R be a bifunction that satisfies conditions (A)-(A) such that EP(g) = ∅. Let f : E → R be a ...
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Existence stability theorems for strong vector set valued equilibrium problems in reflexive Banach spaces
... has an empty interior []. Thus, for C-monotone-type (SVSEP), finding sufficient and/or necessary conditions for the nonemptiness and boundedness of the solution set is very important. To our knowledge, existence results ...
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RETRACTED ARTICLE: On stability analysis for generalized Minty variational hemivariational inequality in reflexive Banach spaces
... Lemma 4.9 Let K be a nonempty, closed, and convex subset in a reflexive Banach space X , f : K ⊂ X → R be a convex and lower semicontinuous function, and J : X → R be a locally Lipschitz functional. Suppose that F ...
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Halpern Mann’s iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications
... The purpose of this work is to consider strong convergence results for Bregman strongly nonexpansive mappings in reflexive Banach spaces by modifying Halpern and Mann’s iter- ations. We note that there are ...
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Best Proximity Points of Cyclic -Contractions on Reflexive Banach Spaces
... contraction maps in 2006 4. They raised a question about the existence of a best proximity point for a cyclic contraction map in a reflexive Banach space. In 2009, Al-Thagafi and Shahzad gave a positive ...
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Mixed Variational Like Inequality for Fuzzy Mappings in Reflexive Banach Spaces
... Some existence theorems for the mixed variational-like inequality for fuzzy mappings FMVLIP in a reflexive Banach space are established. Further, the auxiliary principle technique is used to suggest a novel ...
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An Iterative Shrinking Generalized -Projection Method for -Quasi-strict Pseudo-contractions in Banach Spaces
... smooth Banach spaces and studied their properties in ...smooth Banach spaces to reflexive Banach spaces, and established a Mann type iterative scheme for finding the ...
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Generalized set valued variational like inclusions and Wiener Hopf equations in Banach spaces
... in reflexive Banach spaces, we introduce and study a class of generalized set-valued variational-like inclusions in Banach spaces and show their equivalences with a class of Wiener-Hopf ...
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Approximation Methods for Common Fixed Points of Mean Nonexpansive Mapping in Banach Spaces
... Chen, “Iterative approximation to common fixed points of nonexpansive mapping se- quences in reflexive Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications , vol. Khan,[r] ...
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The Nonzero Solutions and Multiple Solutions for a Class of Bilinear Variational Inequalities
... Some existence theorems of nonzero solutions and multiple solutions for a class of bi- linear variational inequalities are studied in reflexive Banach spaces by fixed point index approach. The ...
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