Work

Convergence Analysis for Yosida Variational Inclusion Problem with Its Corresponding Yosida Resolvent Equation Problem through Inertial Extrapolation Scheme

Year: 2023

Type: article

Abstract: In this paper, we study a Yosida variational inclusion problem with its corresponding Yosida resolvent equation problem. We mention some schemes to solve both the problems, but we focus our study on discussing convergence criteria for the Yosida variational inclusion problem in real Banach space and for the Yosida resolvent equation problem in q-uniformly smooth Banach space. For faster convergence, we apply an inertial extrapolation scheme for both the problems. An example is provided.

Source: Mathematics

DOI: 10.3390/math11030763

Authors: Arvind Kumar Rajpoot, Mohd Ishtyak, Rais Ahmad, Yuanheng Wang, Jen-Chih Yao

Institutions: Aligarh Muslim University, Zhejiang Normal University, China Medical University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,336

Funder: National Natural Science Foundation of China