GENERALIZED VARIATIONAL-LIKE INCLUSION PROBLEM INVOLVING $(H(.,.),\ETA)$-MONOTONE OPERATORS IN BANACH SPACES

Authors

  • MOHD IQBAL BHAT Department of Mathematics, South Campus, University of Kashmir, Anantnag-192101, India
  • BISMA ZAHOOR Department of Mathematics, University of Kashmir, Srinagar-190006, India

Keywords:

$(H(.,.),\eta)$-monotone operator, Generalized $(\eta)$-proximal operator, Generalized variational-like inclusion problem, Iterative algorithm, Convergence analysis

Abstract

In this paper, we consider the generalized variational-like inclusion problem involving $(H(.,.),\eta)$-monotone operators in Banach spaces. Using proximal operator technique, we prove the existence of solution and suggest an iterative algorithm for solving the generalized variational-like inclusion problem. Also, we discuss the convergence analysis of the iterative algorithm. The results presented in this paper improve and generalize many known results in the literature.

Author Biographies

MOHD IQBAL BHAT, Department of Mathematics, South Campus, University of Kashmir, Anantnag-192101, India

Sr. Assistant Professor Mathematics

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

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

Additional Files

Published

02/01/2018

Issue

Vol. 8 No. 1 (2017): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.