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

Arvind Kumar Rajpoot, Mohd Ishtyak, Rais Ahmad, Yuanheng Wang () and Jen-Chih Yao
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Arvind Kumar Rajpoot: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Mohd Ishtyak: Department of Applied Mathematics, Zakir Hussain College of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, India
Rais Ahmad: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Yuanheng Wang: College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China
Jen-Chih Yao: Center for General Education, China Medical University, Taichung 40402, Taiwan

Mathematics, 2023, vol. 11, issue 3, 1-19

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.

Keywords: Yosida; inertial; extrapolation; resolvent; inclusion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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