Indian Journal of Industrial and Applied Mathematics
  • Year: 2019
  • Volume: 10
  • Issue: 1SI

The Relaxed Resolvent Operator For Solving Fuzzy Variational Inclusion Problem Involving Ordered RME Set-Valued Mapping

  • Author:
  • Iqbal Ahmad1,, Abul H. Siddiqi2,, Rais Ahmad3,
  • Total Page Count: 14
  • Published Online: Jun 1, 2019
  • Page Number: 255 to 268

1College of Engineering, Qassim University, Buraidah-51452, Al-Qassim, Saudi Arabia

2School of Basic Sciences and Research, Sharda University, Greater Noida-201306, India

3Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India

*(*Corresponding author) E-mail: raisain_123@rediffmail.com;

**iqbal@qec.edu.sa;

***siddiqi.abulhasan@gmail.com

Abstract

In this paper, we consider a relaxed resolvent operator and prove some of its properties. Using the properties of relaxed resolvent operator, we obtain the solution of a fuzzy variational inclusion problem with ordered RME set-valued mapping in ordered Hilbert spaces by suggesting an iterative algorithm. Some special cases are discussed. Some examples are also constructed.

Keywords

Ordered RME Mapping, Ordered Hilbert Space, Inclusion, Algorithm, Fuzzy Mappings, 49J40, 47H05, 47S40