Abstract

CONVERGENCE OF AN ITERATIVE SCHEME FOR SYSTEM OF GENERALIZED VARIATIONAL INEQUALITIES PROBLEM IN A BANACH SPACES

Khalid Ismail Usman

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Abstract In this paper, we present an approximation method for solution of a uniformly convex and uniformly smooth Banach space. Using various well known computational techniques for the fixedpointsapproximation,weobtainedaconvergenceofaniterativeschemesforafinitefamily of a generalized variationalinequalities. Keywords: Generalized f -projection operator;generalized variational inequality;Semi-compact operator;Lower semi-continuity. Mathematics Subject Classification: 47H09, 47H05, 47J25, 47J05

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