Fixed Point Theorems on Generalized Metric Spaces for Mappings in a Class Of Almost φ-Contractions

In this paper, we obtain some new fixed point theorems in generalized metric spaces for maps satisfying an implicit relation. The obtained results unify, generalize, enrich, complement and extend a multitude of related fixed point theorems from metric spaces to generalized metric spaces.

Bibliographic Details
Main Authors: Kikina Luljeta, Kikina Kristaq
Format: Article
Language:English
Published: De Gruyter 2015-09-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2015.48.issue-3/dema-2015-0031/dema-2015-0031.xml?format=INT
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author Kikina Luljeta
Kikina Kristaq
author_facet Kikina Luljeta
Kikina Kristaq
author_sort Kikina Luljeta
collection DOAJ
description In this paper, we obtain some new fixed point theorems in generalized metric spaces for maps satisfying an implicit relation. The obtained results unify, generalize, enrich, complement and extend a multitude of related fixed point theorems from metric spaces to generalized metric spaces.
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spelling doaj.art-4f94b24d375243698f86001eefe9c2402022-12-22T01:33:11ZengDe GruyterDemonstratio Mathematica0420-12132391-46612015-09-0148344045110.1515/dema-2015-0031dema-2015-0031Fixed Point Theorems on Generalized Metric Spaces for Mappings in a Class Of Almost φ-ContractionsKikina Luljeta0Kikina Kristaq1DEPARTMENT OF MATHEMATICS FACULTY OF NATURAL SCIENCES UNIVERSITY OF GJIROKASTRA ALBANIADEPARTMENT OF MATHEMATICS FACULTY OF NATURAL SCIENCES UNIVERSITY OF GJIROKASTRA ALBANIAIn this paper, we obtain some new fixed point theorems in generalized metric spaces for maps satisfying an implicit relation. The obtained results unify, generalize, enrich, complement and extend a multitude of related fixed point theorems from metric spaces to generalized metric spaces.http://www.degruyter.com/view/j/dema.2015.48.issue-3/dema-2015-0031/dema-2015-0031.xml?format=INTCauchy sequencegeneralized metric spacesfixed pointimplicit relation
spellingShingle Kikina Luljeta
Kikina Kristaq
Fixed Point Theorems on Generalized Metric Spaces for Mappings in a Class Of Almost φ-Contractions
Demonstratio Mathematica
Cauchy sequence
generalized metric spaces
fixed point
implicit relation
title Fixed Point Theorems on Generalized Metric Spaces for Mappings in a Class Of Almost φ-Contractions
title_full Fixed Point Theorems on Generalized Metric Spaces for Mappings in a Class Of Almost φ-Contractions
title_fullStr Fixed Point Theorems on Generalized Metric Spaces for Mappings in a Class Of Almost φ-Contractions
title_full_unstemmed Fixed Point Theorems on Generalized Metric Spaces for Mappings in a Class Of Almost φ-Contractions
title_short Fixed Point Theorems on Generalized Metric Spaces for Mappings in a Class Of Almost φ-Contractions
title_sort fixed point theorems on generalized metric spaces for mappings in a class of almost φ contractions
topic Cauchy sequence
generalized metric spaces
fixed point
implicit relation
url http://www.degruyter.com/view/j/dema.2015.48.issue-3/dema-2015-0031/dema-2015-0031.xml?format=INT
work_keys_str_mv AT kikinaluljeta fixedpointtheoremsongeneralizedmetricspacesformappingsinaclassofalmostphcontractions
AT kikinakristaq fixedpointtheoremsongeneralizedmetricspacesformappingsinaclassofalmostphcontractions