Viscosity Approximation Methods for Generalized Multi-Valued Nonexpansive Mappings with Applications

Rajendra Pant; Rahul Shukla; Adrian Petruşel

doi:10.1080/01630563.2018.1478853

Viscosity Approximation Methods for Generalized Multi-Valued Nonexpansive Mappings with Applications

Rajendra Pant, Rahul Shukla, Adrian Petruşel

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1374-1406
Number of pages	33
Journal	Numerical Functional Analysis and Optimization
Volume	39
Issue number	13
DOIs	https://doi.org/10.1080/01630563.2018.1478853
Publication status	Published - 3 Oct 2018
Externally published	Yes

Keywords

Condition (C)
split feasibility problem
variational inequality
viscosity approximation

ASJC Scopus subject areas

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

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10.1080/01630563.2018.1478853

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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.",

keywords = "Condition (C), split feasibility problem, variational inequality, viscosity approximation",

author = "Rajendra Pant and Rahul Shukla and Adrian Petru{\c s}el",

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AU - Petruşel, Adrian

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AB - 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.

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Viscosity Approximation Methods for Generalized Multi-Valued Nonexpansive Mappings with Applications

Abstract

Keywords

ASJC Scopus subject areas

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