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Convergence Analysis of Iterative Methods for Some Variational Inequalities with J-Pseudomonotone Operators in Uniformly Smooth Banach Spaces

Research Authors
A.M. SADDEEK and S. A. AHMED
Research Abstract

The purpose of this paper is to analyze the convergence of the
iterative methods for mixed variational inequalities with convex
nondifferentiable functionals and J-pseudomonotone, J-potential
and J-coercive operators in real uniformly smooth Banach spaces.
Such inequalities arise, in particular, in descriptions of
stabilized filtration and equilibrium problems for soft shells. Our
results extend some results of [1] from real Hilbert spaces to real
uniformly smooth Banach spaces with modulus of smoothness of power type q>1 which admit a weakly sequentially continuous duality map.

Research Department
Research Journal
International Journal of Applied Science and Computation
Research Member
Research Rank
1
Research Year
2008