ITERATIVE METHOD FOR NONLINEAR PSEUDO-MONOTONE TYPE OPERATORS IN HILBERT SPACES

A. M. Saddeek (Egypt)

Received December 15, 2007

Abstract

In this paper, a generalization of Maruster's theorem for two mappings in real Hilbert spaces is studied. An application of our result to the approximation of a solution of a certain class of nonlinear operator equations with pseudo-montone operators is also given.

Keywords and phrases: coincidence point, positive definite operators, pseudo-monotone operators, coercive operators, self adjoint operators, soft shell problems and seepage problems.