Fixed point theorems for nonlinear contractions with applications to iterated function systems

Fixed point theorems for nonlinear contractions with applications to iterated function systems

We introduce a new type of nonlinear contraction and present some fixed point results without using continuity or semi-continuity. Our result complement, extend and generalize a number of fixed point theorems including the the well-known Boyd and Wong theorem [On nonlinear contractions, Proc. Amer....

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Bibliographic Details
Main Author: Rajendra Pant
Format: Article
Language:English
Published: Universitat Politècnica de València 2018-04-01
Series:Applied General Topology
Subjects:
Suzuki type contraction
self-similarity
iterated function systems
fractals
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/7918
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spelling doaj-a90a3e40d1e14567a6d08b2a26adfef72020-11-24T23:04:27ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472018-04-0119116317210.4995/agt.2018.79186761Fixed point theorems for nonlinear contractions with applications to iterated function systemsRajendra Pant0Visvesvaraya National Institute of TechnologyWe introduce a new type of nonlinear contraction and present some fixed point results without using continuity or semi-continuity. Our result complement, extend and generalize a number of fixed point theorems including the the well-known Boyd and Wong theorem [On nonlinear contractions, Proc. Amer. Math. Soc. 20(1969)]. Also we discuss an  application to  iterated function systems.https://polipapers.upv.es/index.php/AGT/article/view/7918Suzuki type contractionself-similarityiterated function systemsfractals
collection DOAJ
language English
format Article
sources DOAJ
author Rajendra Pant
spellingShingle Rajendra Pant
Fixed point theorems for nonlinear contractions with applications to iterated function systems
Applied General Topology
Suzuki type contraction
self-similarity
iterated function systems
fractals
author_facet Rajendra Pant
author_sort Rajendra Pant
title Fixed point theorems for nonlinear contractions with applications to iterated function systems
title_short Fixed point theorems for nonlinear contractions with applications to iterated function systems
title_full Fixed point theorems for nonlinear contractions with applications to iterated function systems
title_fullStr Fixed point theorems for nonlinear contractions with applications to iterated function systems
title_full_unstemmed Fixed point theorems for nonlinear contractions with applications to iterated function systems
title_sort fixed point theorems for nonlinear contractions with applications to iterated function systems
publisher Universitat Politècnica de València
series Applied General Topology
issn 1576-9402
1989-4147
publishDate 2018-04-01
description We introduce a new type of nonlinear contraction and present some fixed point results without using continuity or semi-continuity. Our result complement, extend and generalize a number of fixed point theorems including the the well-known Boyd and Wong theorem [On nonlinear contractions, Proc. Amer. Math. Soc. 20(1969)]. Also we discuss an  application to  iterated function systems.
topic Suzuki type contraction
self-similarity
iterated function systems
fractals
url https://polipapers.upv.es/index.php/AGT/article/view/7918
work_keys_str_mv AT rajendrapant fixedpointtheoremsfornonlinearcontractionswithapplicationstoiteratedfunctionsystems
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