Work

Parallel composite-type extragradient implicit method for a system of variational inclusions with the common fixed-point constraint of pseudocontractive mappings

Year: 2024

Type: article

Abstract: In a uniformly convex and q-uniformly smooth Banach space with q ∈ (1, 2], let the VI indicate a variational inclusion for two accretive operators and let the CFPP denote a common fixed point problem of a countable family of ℓ-uniformly Lipschitzian pseudocontractive mappings.In this paper, we introduce a parallel composite-type extragradient implicit method for solving a general system of variational inclusions (GSVI) with the VI and CFPP constraints.We then prove the strong convergence of the suggested algorithm to a solution of the GSVI with the VI and CFPP constraints under some appropriate assumptions.As applications, we apply our main result to the variational inequality problem (VIP), split feasibility problem (SFP) and LASSO problem in Hilbert spaces.

Source: Fixed Point Methods and Optimization

DOI: 10.69829/fpmo-024-0102-ta03

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: Shanghai Municipal Education Commission, Shanghai Municipal Human Resources and Social Security Bureau, National Science and Technology Council

Awards: G2617124910, G4601398859, G4686124221, G5269724351, G5408111244, G6825147882, G8135609650

OpenAlex ID: W4405356456

FWCI:

Cites:

Cited by:

Related to: 10