Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces
This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section,...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/189321 |
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| _version_ | 1832567093599404032 |
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| author | Saurabh Manro Sanjay Kumar S. S. Bhatia Kenan Tas |
| author_facet | Saurabh Manro Sanjay Kumar S. S. Bhatia Kenan Tas |
| author_sort | Saurabh Manro |
| collection | DOAJ |
| description | This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the class of compatible continuous mappings to noncompatible and discontinuous mappings. Lastly, as an application, we prove fixed point theorems using weakly reciprocally continuous noncompatible self-mappings on modified intuitionistic fuzzy metric space satisfying some implicit relations. |
| format | Article |
| id | doaj-art-4a21965cc7f34fbaa958bd149611bf09 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4a21965cc7f34fbaa958bd149611bf092025-02-03T01:02:22ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/189321189321Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric SpacesSaurabh Manro0Sanjay Kumar1S. S. Bhatia2Kenan Tas3School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, IndiaDeenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat, IndiaSchool of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, IndiaCankaya University, Department of Mathematics and Computer Science, Ankara, TurkeyThis paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the class of compatible continuous mappings to noncompatible and discontinuous mappings. Lastly, as an application, we prove fixed point theorems using weakly reciprocally continuous noncompatible self-mappings on modified intuitionistic fuzzy metric space satisfying some implicit relations.http://dx.doi.org/10.1155/2013/189321 |
| spellingShingle | Saurabh Manro Sanjay Kumar S. S. Bhatia Kenan Tas Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces Journal of Applied Mathematics |
| title | Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces |
| title_full | Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces |
| title_fullStr | Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces |
| title_full_unstemmed | Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces |
| title_short | Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces |
| title_sort | common fixed point theorems in modified intuitionistic fuzzy metric spaces |
| url | http://dx.doi.org/10.1155/2013/189321 |
| work_keys_str_mv | AT saurabhmanro commonfixedpointtheoremsinmodifiedintuitionisticfuzzymetricspaces AT sanjaykumar commonfixedpointtheoremsinmodifiedintuitionisticfuzzymetricspaces AT ssbhatia commonfixedpointtheoremsinmodifiedintuitionisticfuzzymetricspaces AT kenantas commonfixedpointtheoremsinmodifiedintuitionisticfuzzymetricspaces |