A short survey of the development of fixed point theory

A short survey of the development of fixed point theory

In this survey paper, we collected the developmental history of fixed point theory. Some important results from beginning up to now are incorporated in this paper.

Bibliographic Details
Main Author: Santosh Kumar
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2013-12-01
Series:Surveys in Mathematics and its Applications
Subjects:
Contraction map
Nonexpansive map
Fixed points
Iteration process
Densifying map
1-set contraction
Approximation theory
Variational inequalities
Online Access:http://www.utgjiu.ro/math/sma/v08/p08.pdf
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spelling doaj-a4e56b18224f4f2682cb0f88cd8d35d62020-11-25T01:16:10ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982013-12-018 (2013)91101A short survey of the development of fixed point theorySantosh Kumar0Department of Mathematics, College of Natural and Applied Sciences, University of Dar es salaam, Tanzania and Department of Applied Mathematics, Inderprastha Engineering College, Ghaziabad, India In this survey paper, we collected the developmental history of fixed point theory. Some important results from beginning up to now are incorporated in this paper.http://www.utgjiu.ro/math/sma/v08/p08.pdfContraction mapNonexpansive mapFixed pointsIteration processDensifying map1-set contractionApproximation theoryVariational inequalities
collection DOAJ
language English
format Article
sources DOAJ
author Santosh Kumar
spellingShingle Santosh Kumar
A short survey of the development of fixed point theory
Surveys in Mathematics and its Applications
Contraction map
Nonexpansive map
Fixed points
Iteration process
Densifying map
1-set contraction
Approximation theory
Variational inequalities
author_facet Santosh Kumar
author_sort Santosh Kumar
title A short survey of the development of fixed point theory
title_short A short survey of the development of fixed point theory
title_full A short survey of the development of fixed point theory
title_fullStr A short survey of the development of fixed point theory
title_full_unstemmed A short survey of the development of fixed point theory
title_sort short survey of the development of fixed point theory
publisher University Constantin Brancusi of Targu-Jiu
series Surveys in Mathematics and its Applications
issn 1843-7265
1842-6298
publishDate 2013-12-01
description In this survey paper, we collected the developmental history of fixed point theory. Some important results from beginning up to now are incorporated in this paper.
topic Contraction map
Nonexpansive map
Fixed points
Iteration process
Densifying map
1-set contraction
Approximation theory
Variational inequalities
url http://www.utgjiu.ro/math/sma/v08/p08.pdf
work_keys_str_mv AT santoshkumar ashortsurveyofthedevelopmentoffixedpointtheory
AT santoshkumar shortsurveyofthedevelopmentoffixedpointtheory
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