Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces
We establish a common coupled fixed point theorem for weakly compatible mappings on modified intuitionistic fuzzy metric spaces. As an application of our result, we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to demonstrate ou...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2014/348069 |
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| author | Bhavana Deshpande Amrish Handa |
| author_facet | Bhavana Deshpande Amrish Handa |
| author_sort | Bhavana Deshpande |
| collection | DOAJ |
| description | We establish a common coupled fixed point theorem for weakly compatible mappings on modified intuitionistic fuzzy metric spaces. As an application of our result, we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to demonstrate our result. |
| format | Article |
| id | doaj-art-b1c6d1eb989a47bcb99754bfae1a0069 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-b1c6d1eb989a47bcb99754bfae1a00692025-02-03T06:07:53ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2014-01-01201410.1155/2014/348069348069Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric SpacesBhavana Deshpande0Amrish Handa1Department of Mathematics, Govt. P.G. Arts and Science College, Ratlam 457001, IndiaDepartment of Mathematics, Govt. P.G. Arts and Science College, Ratlam 457001, IndiaWe establish a common coupled fixed point theorem for weakly compatible mappings on modified intuitionistic fuzzy metric spaces. As an application of our result, we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to demonstrate our result.http://dx.doi.org/10.1155/2014/348069 |
| spellingShingle | Bhavana Deshpande Amrish Handa Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces Advances in Fuzzy Systems |
| title | Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces |
| title_full | Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces |
| title_fullStr | Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces |
| title_full_unstemmed | Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces |
| title_short | Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces |
| title_sort | application of coupled fixed point technique in solving integral equations on modified intuitionistic fuzzy metric spaces |
| url | http://dx.doi.org/10.1155/2014/348069 |
| work_keys_str_mv | AT bhavanadeshpande applicationofcoupledfixedpointtechniqueinsolvingintegralequationsonmodifiedintuitionisticfuzzymetricspaces AT amrishhanda applicationofcoupledfixedpointtechniqueinsolvingintegralequationsonmodifiedintuitionisticfuzzymetricspaces |