Abstract
The main objective of the Variational inequality problem is to study some functional analytic tools, projection method and fixed point theorems and then exploiting these to study the existence of solutions and convergence analysis of iterative algorithms developed for some classes of Variational inequality problem. The main objective of this paper is to study the existence of solutions of some classes of Variational inequalities using fixed point theorems for multivalued and using Banach contraction theorem we prove the existence of a unique solution of multi value Variational inequality problem.
Highlights
A Classes of Variational Inequality Problems Involving Multivalued MappingsEmail address: To cite this article: Nedal Hassan Elbadowi Eljaneid
Variational inequalities and complementarity problem play important roles in applied mathematics, physics, control theory and optimization, equilibrium theory of transportation and economics, mechanics, and engineering sciences
We study the existence and convergence of solutions of some classes of Variational inequalities using fixed point theorem for multivalued mappings we develop an iterative algorithm for prove the approximate solution converges to solution of multi value Variational inequality problem
Summary
Email address: To cite this article: Nedal Hassan Elbadowi Eljaneid. A Classes of Variational Inequality Problems Involving Multivalued Mappings. Science Journal of Applied Mathematics and Statistics. Received: January 5, 2018; Accepted: January 17, 2018; Published: February 24, 2018
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