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VariationalLike Inequalities and Equilibrium Problems
Author: LiLinZuo
Tutor: DingXiePing
School: Sichuan Normal University
Course: Basic mathematics
Keywords: Variational inequality Extragradient Mann iterative algorithm Convergence A family of setvalued mappings Fixedpoint theorem of setvalued mappings System of generalized vector quasiequibrium problems Product Gconvex space
CLC: O177
Type: Master's thesis
Year: 2006
Downloads: 63
Quote: 0
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Abstract
This paper mainly further studies several focus problems in nonlinear functional analysis unifies and generalizes some known results in recent literature.At first , a new extragradient iterative algorithm for solving the variational inequality problem on Rn is suggested. By using Mann iterative scheme, new searching direction and better stepsize rule, the algorithm is different from any one in existing projectiontype methods. Under a certain generalized monotonity condition, the global convergence of the iterative sequence generated by the new algorithm is proved.Next, we introduce some new systems of abstract generalized vector quasiequilibrium problem in Gconvex space. By applying the fixed point theorem of setvalued mappings of nocompact product Gconvex space, some new existence theorems of system of generalized vector quasiequibrium problems are proved, and this results extend the applictions of the fixed point theorem.

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