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A Modified Subgradient Extragradeint Method for Variational Inequality Problems and Fixed Point Problems in Real Banach Spaces

A Modified Subgradient Extragradeint Method for Variational Inequality Problems and Fixed Point Problems in Real Banach Spaces. ABSTRACT Let E be a 2-uniformly convex and uniformly smooth real Banach space with dual space E ∗. Let A: C → E ∗ be a monotone and Lipschitz continuous mapping and U: C → C be relatively nonexpansive. An algorithm for approximating the common […]

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Characteristic Inequalities in Banach Spaces and Applications

Characteristic Inequalities in Banach Spaces and Applications. TABLE OF CONTENT Dedication iii Preface v Acknowledgement vii 1 Preliminaries 1 1.1 Basic notions of functional analysis . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.1 Differentiability in Banach spaces . […]

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