Work

Convergence analysis of a resolvent-free method for solving inclusion problems beyond Co-coercivity

Year: 2025

Type: article

Abstract: In this paper, we introduce a new self-adaptive Tseng-type method for solving inclusion problems. Our method by-passes the co-coercivity condition and does not require any computation of the resolvent (or metric projection) operator. While incorporating the golden ratio technique, we prove weak, strong and $$R-$$ R - Linear convergence of our method, and apply our result to solving the critical point problems. Furthermore, we conduct computational experiments to illustrate the performance of our iterative scheme over similar methods in literature.

Source: Afrika Matematika

DOI: 10.1007/s13370-025-01275-z

Authors: Victor Amarachi Uzor, Oluwatosin Temitope Mewomo

Institution: University of KwaZulu-Natal

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: International Mathematical Union, Inyuvesi Yakwazulu-Natali