Some Computational Methods for Solving Extended General Bivariational Inclusions

Abstract

Some new classes of extended general bivariational inclusions are introduced and analyzed. It is established that the extended general bivariational inclusions are equivalent to the fixed point problems. This equivalence is used to discuss the existence of a solution of the extended general bivariational inequalities. Some new iterative methods for solving bivariational inclusions and related optimization problems are proposed. Convergence analysis of these methods is investigated under suitable conditions. Some special cases are also discussed of the main results as applications of the main results.