Work

A Novel Accelerated Parallel Shrinking Projection Regularized Splitting Algorithm for Solving Generalized Split Monotone Variational Inclusion Problems

Year: 2026

Type: article

Abstract: This paper introduces a novel parallel hybrid algorithm, based on an accelerated shrinking projection method, for solving the Split Monotone Variational Inclusion problems with multiple output sets in Hilbert spaces. Under an appropriate set of conditions, we establish the strong convergence of the proposed algorithm. Its practical viability is further demonstrated through a numerical experiment. The results obtained herein generalize and improve upon several existing findings in the literature.

Source: Journal of convex analysis

DOI: 10.68381/jca34014

Author: Yasir Arfat

Institution: Universidade de São Paulo

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Funder: Fundação de Amparo à Pesquisa do Estado de São Paulo

OpenAlex ID: W7224847560