Viscosity Approximation Methods for Quasi-Nonexpansive Mappings in Banach Spaces

Prashant Patel; Rajendra Pant

doi:10.2298/FIL2109113P

Viscosity Approximation Methods for Quasi-Nonexpansive Mappings in Banach Spaces

Prashant Patel, Rajendra Pant

University of Johannesburg

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

5 Citations (Scopus)

Abstract

In this article, we present viscosity approximation methods for finding a common point of the set of solutions of a variational inequality problem and the set of fixed points of a multi-valued quasi-nonexpansive mapping in a Banach space. We also discuss some examples to illustrate facts and study the convergence behaviour of the iterative schemes presented herein, numerically.

Original language	English
Pages (from-to)	3113-3126
Number of pages	14
Journal	Filomat
Volume	35
Issue number	9
DOIs	https://doi.org/10.2298/FIL2109113P
Publication status	Published - 2021
Externally published	Yes

Keywords

Banach space
Quasi-nonexpnasive mapping
Viscosity approximation

ASJC Scopus subject areas

General Mathematics

Access to Document

10.2298/FIL2109113P

Cite this

@article{62c6131b350f4394b8a4a7a6ea86c9ea,

title = "Viscosity Approximation Methods for Quasi-Nonexpansive Mappings in Banach Spaces",

abstract = "In this article, we present viscosity approximation methods for finding a common point of the set of solutions of a variational inequality problem and the set of fixed points of a multi-valued quasi-nonexpansive mapping in a Banach space. We also discuss some examples to illustrate facts and study the convergence behaviour of the iterative schemes presented herein, numerically.",

keywords = "Banach space, Quasi-nonexpnasive mapping, Viscosity approximation",

author = "Prashant Patel and Rajendra Pant",

year = "2021",

doi = "10.2298/FIL2109113P",

language = "English",

volume = "35",

pages = "3113--3126",

journal = "Filomat",

issn = "0354-5180",

publisher = "Universitet of Nis",

number = "9",

}

TY - JOUR

T1 - Viscosity Approximation Methods for Quasi-Nonexpansive Mappings in Banach Spaces

AU - Patel, Prashant

AU - Pant, Rajendra

PY - 2021

Y1 - 2021

N2 - In this article, we present viscosity approximation methods for finding a common point of the set of solutions of a variational inequality problem and the set of fixed points of a multi-valued quasi-nonexpansive mapping in a Banach space. We also discuss some examples to illustrate facts and study the convergence behaviour of the iterative schemes presented herein, numerically.

AB - In this article, we present viscosity approximation methods for finding a common point of the set of solutions of a variational inequality problem and the set of fixed points of a multi-valued quasi-nonexpansive mapping in a Banach space. We also discuss some examples to illustrate facts and study the convergence behaviour of the iterative schemes presented herein, numerically.

KW - Banach space

KW - Quasi-nonexpnasive mapping

KW - Viscosity approximation

UR - https://www.scopus.com/pages/publications/85126273758

U2 - 10.2298/FIL2109113P

DO - 10.2298/FIL2109113P

M3 - Article

AN - SCOPUS:85126273758

SN - 0354-5180

VL - 35

SP - 3113

EP - 3126

JO - Filomat

JF - Filomat

IS - 9

ER -

Viscosity Approximation Methods for Quasi-Nonexpansive Mappings in Banach Spaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this