Indian Journal of Industrial and Applied Mathematics
  • Year: 2012
  • Volume: 3
  • Issue: 2

Three-Steps Iterative Algorithm for Random Generalized Variational Inclusions with Random Fuzzy Mapping

  • Author:
  • Syed Shakaib Irfan1,
  • Total Page Count: 13
  • Published Online: Dec 1, 2012
  • Page Number: 54 to 66

1Collage of Engineering, Qassim University, P. O. Box 6677, Buraidah-51431, Al-Qassim, Kingdom of Saudi Arabia

*E-mail: shakaib 11 @refiffmail.com

Abstract

In this paper, we consider the random generalized variational inclusions for random fuzzy mappings and define a three-step iterative algorithm. We prove existence of solutions of our inclusions involving random relaxed Lipschitz and random relaxed monotone mappings and study the convergence of the iterative sequences generated by the proposed algorithm.

Keywords

Variational inclusions, Algorithm, Random fuzzy mappings, Random relaxed Lipschitz, Random relaxed monotone, Existence and convergence, 49J40, 47H06, 47H19