Work

An algorithm for equilibrium problems with mixed-type fixed point constraints

Year: 2025

Type: article

Abstract: In this paper, we introduce a novel class of nonlinear mappings known as ϑ-strictly asymptotically pseudocontractive-type multivalued mapping (ϑ-SAPM) in a Hilbert space domain. In addition, a new method was initiated, and it was shown that this method converges strongly to the solution set of an equilibrium problem (EP) and the set of common fixed points of two finite families of type-one (ϑ-SAPM) and ϑ-strictly pseudocontractive-type multivalued mapping (ϑ-SPM). Moreover, we showed that the classes of mappings considered are independent and also presented a numerical example to illustrate the implementablity of the suggested method. The results obtained improve, generalize and extend several conclusions reported in literature.

Source: PLoS ONE

DOI: 10.1371/journal.pone.0318925

Authors: Lifang Guo, Imo Kalu Agwu, Umar Ishtiaq, Khalid A. Alnowibet

Institutions: Chongqing Three Gorges University, Michael Okpara University of Agriculture, University of Management and Technology, King Saud 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: $2,382

Funder: Strong