Common Coupled Fixed Point Theorem for Geraghty-Type Contraction in Partially Ordered Metric Spaces
We study the existence and uniqueness of common coupled fixed point of four self-mappings for Geraghty-type contraction using weakly compatible mappings in partially ordered metric spaces with common limit range property (denoted by (CLRST)), the property of E.A, and so on. It is noted that the cont...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/9063267 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849685626103791616 |
|---|---|
| author | Xiao-lan Liu Mi Zhou Boško Damjanović |
| author_facet | Xiao-lan Liu Mi Zhou Boško Damjanović |
| author_sort | Xiao-lan Liu |
| collection | DOAJ |
| description | We study the existence and uniqueness of common coupled fixed point of four self-mappings for Geraghty-type contraction using weakly compatible mappings in partially ordered metric spaces with common limit range property (denoted by (CLRST)), the property of E.A, and so on. It is noted that the continuity of mappings and completeness of spaces can be removed. Our results improve, extend, complement, and generalize several existing results in the literature. Also, some examples are provided to illustrate the usability of our results. |
| format | Article |
| id | doaj-art-c4423ba232764f7e9335854be1fdb968 |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c4423ba232764f7e9335854be1fdb9682025-08-20T03:23:03ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/90632679063267Common Coupled Fixed Point Theorem for Geraghty-Type Contraction in Partially Ordered Metric SpacesXiao-lan Liu0Mi Zhou1Boško Damjanović2College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, ChinaSchool of Science and Technology, University of Sanya, Sanya, Hainan 572000, ChinaFaculty of Agriculture, University of Belgrade, Belgrade, SerbiaWe study the existence and uniqueness of common coupled fixed point of four self-mappings for Geraghty-type contraction using weakly compatible mappings in partially ordered metric spaces with common limit range property (denoted by (CLRST)), the property of E.A, and so on. It is noted that the continuity of mappings and completeness of spaces can be removed. Our results improve, extend, complement, and generalize several existing results in the literature. Also, some examples are provided to illustrate the usability of our results.http://dx.doi.org/10.1155/2018/9063267 |
| spellingShingle | Xiao-lan Liu Mi Zhou Boško Damjanović Common Coupled Fixed Point Theorem for Geraghty-Type Contraction in Partially Ordered Metric Spaces Journal of Function Spaces |
| title | Common Coupled Fixed Point Theorem for Geraghty-Type Contraction in Partially Ordered Metric Spaces |
| title_full | Common Coupled Fixed Point Theorem for Geraghty-Type Contraction in Partially Ordered Metric Spaces |
| title_fullStr | Common Coupled Fixed Point Theorem for Geraghty-Type Contraction in Partially Ordered Metric Spaces |
| title_full_unstemmed | Common Coupled Fixed Point Theorem for Geraghty-Type Contraction in Partially Ordered Metric Spaces |
| title_short | Common Coupled Fixed Point Theorem for Geraghty-Type Contraction in Partially Ordered Metric Spaces |
| title_sort | common coupled fixed point theorem for geraghty type contraction in partially ordered metric spaces |
| url | http://dx.doi.org/10.1155/2018/9063267 |
| work_keys_str_mv | AT xiaolanliu commoncoupledfixedpointtheoremforgeraghtytypecontractioninpartiallyorderedmetricspaces AT mizhou commoncoupledfixedpointtheoremforgeraghtytypecontractioninpartiallyorderedmetricspaces AT boskodamjanovic commoncoupledfixedpointtheoremforgeraghtytypecontractioninpartiallyorderedmetricspaces |