Work

Convergence Analysis for Cayley Variational Inclusion Problem Involving XOR and XNOR Operations

Year: 2025

Type: article

Abstract: In this article, we introduce and study a generalized Cayley variational inclusion problem incorporating XOR and XNOR operations. We establish an equivalent fixed-point formulation and demonstrate the Lipschitz continuity of the generalized Cayley approximation operator. Furthermore, we analyze the existence and convergence of the proposed problem using an implicit iterative algorithm. The iterative algorithm and numerical results presented in this study significantly enhance previously known findings in this domain. Finally, a numerical result is provided to support our main result and validate the proposed algorithm using MATLAB programming.

Source: Axioms

DOI: 10.3390/axioms14030149

Authors: Arifuzzaman, Syed Shakaib Irfan, Iqbal Ahmad

Institutions: Aligarh Muslim University, Qassim 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: $2,896

Funder: Qassim University