Extragradient Methods for Some Nonlinear Problems

Qamrul Hasan Ansari; D. R. Sahu

doi:10.1016/B978-0-12-804295-3.50005-X

Extragradient Methods for Some Nonlinear Problems

Qamrul Hasan Ansari^*, D. R. Sahu

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Scopus citations

Abstract

In this chapter, we discuss several extragradient iterative algorithms for some nonlinear problems, namely fixed point problems, variational inequality problems, hierarchical variational inequality problems and split feasibility problems. We also present and analyze extragradient iterative algorithms for finding a common solution to a fixed point problem and the variational inequality problem.

Original language	English
Title of host publication	Fixed Point Theory and Graph Theory
Subtitle of host publication	Foundations and Integrative Approaches
Publisher	Elsevier Inc.
Pages	187-230
Number of pages	44
ISBN (Electronic)	9780128043653
ISBN (Print)	9780128042953
DOIs	https://doi.org/10.1016/B978-0-12-804295-3.50005-X
State	Published - 10 Jun 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc. All rights reserved.

Keywords

Explicit extragradient method
Extragradient methods
Hierarchical variational inequalities
Implicit extragradient method
Nonexpansive mappings
Preliminaries
Projection gradient method
Split feasibility
Variational inequalities

ASJC Scopus subject areas

General Mathematics

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10.1016/B978-0-12-804295-3.50005-X

Cite this

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title = "Extragradient Methods for Some Nonlinear Problems",

abstract = "In this chapter, we discuss several extragradient iterative algorithms for some nonlinear problems, namely fixed point problems, variational inequality problems, hierarchical variational inequality problems and split feasibility problems. We also present and analyze extragradient iterative algorithms for finding a common solution to a fixed point problem and the variational inequality problem.",

keywords = "Explicit extragradient method, Extragradient methods, Hierarchical variational inequalities, Implicit extragradient method, Nonexpansive mappings, Preliminaries, Projection gradient method, Split feasibility, Variational inequalities",

author = "Ansari, {Qamrul Hasan} and Sahu, {D. R.}",

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T1 - Extragradient Methods for Some Nonlinear Problems

AU - Ansari, Qamrul Hasan

AU - Sahu, D. R.

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N2 - In this chapter, we discuss several extragradient iterative algorithms for some nonlinear problems, namely fixed point problems, variational inequality problems, hierarchical variational inequality problems and split feasibility problems. We also present and analyze extragradient iterative algorithms for finding a common solution to a fixed point problem and the variational inequality problem.

AB - In this chapter, we discuss several extragradient iterative algorithms for some nonlinear problems, namely fixed point problems, variational inequality problems, hierarchical variational inequality problems and split feasibility problems. We also present and analyze extragradient iterative algorithms for finding a common solution to a fixed point problem and the variational inequality problem.

KW - Explicit extragradient method

KW - Extragradient methods

KW - Hierarchical variational inequalities

KW - Implicit extragradient method

KW - Nonexpansive mappings

KW - Preliminaries

KW - Projection gradient method

KW - Split feasibility

KW - Variational inequalities

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M3 - Chapter

AN - SCOPUS:85007560864

SN - 9780128042953

SP - 187

EP - 230

BT - Fixed Point Theory and Graph Theory

PB - Elsevier Inc.

ER -

Extragradient Methods for Some Nonlinear Problems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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