International Journal of Nonlinear Analysis and Applications

System of generalized nonlinear variational-like inclusion problems in 2-uniformly smooth Banach spaces

Document Type : Research Paper

Author

Department of Mathematics, University of Kashmir, Srinagar-190006, India

Abstract

In this manuscript, we introduce and study the existence of a solution of a system of generalized nonlinear variational-like inclusion problems in 2-uniformly smooth Banach spaces by using $H(.,.)$-$\eta$-proximal mapping. The method used in this paper can be considered as an extension of methods for studying the existence of solutions of various classes of variational inclusions considered and studied by many authors in 2-uniformly smooth Banach spaces. Some important results, theorems and the existence of solution of the proposed system of generalized nonlinear variational-like inclusion problems have been derived.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 267-287
  • Receive Date: 26 June 2020
  • Revise Date: 29 July 2020
  • Accept Date: 28 September 2020