New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces

New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces

We consider the existence of a coupled fixed point for mixed monotone mapping F:X×X→X satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces. We also establish some uniqueness results for coupled fixed points, as well as the existence...

Full description

Bibliographic Details
Main Authors: Li Liu, Anmin Mao, Yingying Shi
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/9231508
id doaj-ccaf8ae469de4854879aebd800f9c808
record_format Article
spelling doaj-ccaf8ae469de4854879aebd800f9c8082020-11-24T23:30:10ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/92315089231508New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric SpacesLi Liu0Anmin Mao1Yingying Shi2Department of Mathematic, Jining College, Qufu 272155, ChinaSchool of Mathematical Sciences, Qufu Normal University, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Shandong 273165, ChinaWe consider the existence of a coupled fixed point for mixed monotone mapping F:X×X→X satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces. We also establish some uniqueness results for coupled fixed points, as well as the existence of fixed points of mixed monotone operators. The presented results generalize and develop some existing results. In addition to an example as well as an application, we establish some uniqueness results for a system of integral equations.http://dx.doi.org/10.1155/2018/9231508
collection DOAJ
language English
format Article
sources DOAJ
author Li Liu
Anmin Mao
Yingying Shi
spellingShingle Li Liu
Anmin Mao
Yingying Shi
New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces
Journal of Function Spaces
author_facet Li Liu
Anmin Mao
Yingying Shi
author_sort Li Liu
title New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces
title_short New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces
title_full New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces
title_fullStr New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces
title_full_unstemmed New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces
title_sort new fixed point theorems and application of mixed monotone mappings in partially ordered metric spaces
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2018-01-01
description We consider the existence of a coupled fixed point for mixed monotone mapping F:X×X→X satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces. We also establish some uniqueness results for coupled fixed points, as well as the existence of fixed points of mixed monotone operators. The presented results generalize and develop some existing results. In addition to an example as well as an application, we establish some uniqueness results for a system of integral equations.
url http://dx.doi.org/10.1155/2018/9231508
work_keys_str_mv AT liliu newfixedpointtheoremsandapplicationofmixedmonotonemappingsinpartiallyorderedmetricspaces
AT anminmao newfixedpointtheoremsandapplicationofmixedmonotonemappingsinpartiallyorderedmetricspaces
AT yingyingshi newfixedpointtheoremsandapplicationofmixedmonotonemappingsinpartiallyorderedmetricspaces
_version_ 1725542501629034496

Similar Items