Approximating Solutions of General Class of Variational Inclusions Involving Bl-Co-Monotone Mappings in Banach Spaces
Year: 2025
Type: article
Abstract: The goal of the current study is to introduce a new class of proximal-point mappings that are associated with a new class of Bl-co-monotone mappings that are being defined. The Bl-co-monotone mapping is the sum of co-coercive and symmetric monotone mappings and an extension of the Cn-monotone mapping. The investigation is further discussed, along with its application, which involves a variational inclusion problem (VIP) in Banach spaces. Moreover, the study proposes an iterative algorithm and systematically investigates the convergence characteristics of its generated sequences. For the purpose of illustrating our findings, a simplified numerical example is created to show the convergence graph by using the MATLAB 2015a.
Source: Axioms
Institutions: GLA University, University of Tabuk
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4415204179