Co-Variational Inequality Problem Involving Two Generalized Yosida Approximation Operators

Author:

Ahmad Rais1ORCID,Wang Yuanheng2ORCID,Ishtyak Mohd3ORCID,Rizvi Haider Abbas4ORCID,Rajpoot Arvind Kumar1ORCID

Affiliation:

1. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

2. College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China

3. Department of Applied Mathematics, Zakir Hussain College of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, India

4. Department of Mathematics and Sciences, College of Arts and Applied Sciences, Dhofar University, Salalah 211, Oman

Abstract

We focus our study on a co-variational inequality problem involving two generalized Yosida approximation operators in real uniformly smooth Banach space. We show some characteristics of a generalized Yosida approximation operator, which are used in our main proof. We apply the concept of nonexpansive sunny retraction to obtain a solution to our problem. Convergence analysis is also discussed.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Reference30 articles.

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4. Aubin, J.P., and Ekeland, L. (1984). Applied Nonlinear Analysis, John Wiley and Sons.

5. Bensoussan, A., and Lions, J.L. (1982). Applications of Variational Inequalities in Stochastic Control, North-Holland. Studies in Mathematics and Its Applications.

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