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Weak generalized mixed variational inequalities and progressive , relatively non- expansive mapping public Iterative Approximation of Fixed Points

Author: ZhaoHengJun
Tutor: DengLei
School: Southwestern University
Course: Basic mathematics
Keywords: Weak Generalized Mixed Variational Inequalities Asymptotically Nonexpansive Mapping Relatively nonexpansive mappings Common Fixed Point
CLC: O177
Type: Master's thesis
Year: 2007
Downloads: 29
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Abstract


In this paper, a new class of weak generalized mixed variational inequalities and nonexpansive mappings progressive right, relatively non- expansive mapping of common fixed point iterative approximation problem . 1 outlines the theory of variational inequalities and nonexpansive mappings iterative approximation problem of fixed points of the historical background and the status quo. 2 , the application of the principle of auxiliary variational study a new class of weak generalized mixed variational inequalities , proved the existence of solutions of auxiliary problems and weak generalized mixed variational inequalities of existence , but also proved the convergence of iterative algorithm sequence . 3 , the introduction of two Banach Spaces progressive nonexpansive mappings S and T iterative sequence x n 1 = λ (1-a n ) S n x n λa n T n x n (1-λ) x n . Studied {x n } converges to S and T common fixed points Strong convergence theorems . 4, two opposite Banach space nonexpansive mappings S and T, consider the following iterative sequence : while under some assumptions prove , {x n } converges weakly to S and T, a a common fixed point .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
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