Viscosity Approximation Methods for Generalized Multi-Valued Nonexpansive Mappings with Applications. (3rd October 2018)

• Record Type: Journal Article
• Authors: Pant, Rajendra; Shukla, Rahul; Petruşel, Adrian
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 13(2018)
• Page Start: 1374
• Page End: 1406
• Publication Date: 2018-10-03
• Subjects: Condition (C) -- split feasibility problem -- viscosity approximation -- variational inequality; Primary 47H10 -- 54H25 -- 65J15; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1478853
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this article, we study viscosity approximation methods for generalized multi-valued nonexpansive mappings and we present some new results related to strong convergence, variational inequality, convex optimization, split and common split feasibility problems (SFPs). Some numerical computations are also presented to illustrate our results.