Generalized split zero point problems involving comonotone and quasi-cocoercive operators
Fixed Point Methods and Optimization, Volume 1, Issue 2, December 2024, Pages 145–160
MOHAMMAD ESLAMIAN
Department of Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran
Abstract
In this paper, we investigate generalized split zero point problems involving a finite family of maximally comonotone operators and a finite family of quasi-cocoercive operators within Hilbert spaces. We propose a novel algorithm that leverages both inertial methods and a self-adaptive step size strategy. By imposing suitable control conditions on the associated parameters, we establish the strong convergence of the iterative sequence to the unique solution of a variational inequality problem. Furthermore, we demonstrate the applicability of our results to various problems, including the multiple-sets split feasibility problem and the split monotone variational inclusion problem.
Cite this Article as
Mohammad Eslamian, Generalized split zero point problems involving comonotone and quasi-cocoercive operators, Fixed Point Methods and Optimization, 1(2), 145–160, 2024