Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces
The purpose of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed points in modified intuitionistic fuzzy metric spaces enjoying an implicit function utilized in Tanveer et al. (2012) and Imdad et al. (2012). As an application to our main...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/413473 |
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| _version_ | 1832549324726206464 |
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| author | Mohammad Imdad Sunny Chauhan Sumitra Dalal |
| author_facet | Mohammad Imdad Sunny Chauhan Sumitra Dalal |
| author_sort | Mohammad Imdad |
| collection | DOAJ |
| description | The purpose of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed points in modified intuitionistic fuzzy metric spaces enjoying an implicit function utilized in Tanveer et al. (2012) and Imdad et al. (2012). As an application to our main result, we derive a fixed point theorem for finite families of self-mappings. We also give some examples which demonstrate the validity of the hypotheses and degree of generality of our main results. Our results improve and extend several previously known fixed point theorems of the existing literature. |
| format | Article |
| id | doaj-art-ae03267b9dc14bff8a035e6c2eb90808 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ae03267b9dc14bff8a035e6c2eb908082025-02-03T06:11:32ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/413473413473Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric SpacesMohammad Imdad0Sunny Chauhan1Sumitra Dalal2Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, IndiaNear Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor, Uttar Pradesh 246701, IndiaDepartment of Mathematics, Jazan University, Saudi ArabiaThe purpose of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed points in modified intuitionistic fuzzy metric spaces enjoying an implicit function utilized in Tanveer et al. (2012) and Imdad et al. (2012). As an application to our main result, we derive a fixed point theorem for finite families of self-mappings. We also give some examples which demonstrate the validity of the hypotheses and degree of generality of our main results. Our results improve and extend several previously known fixed point theorems of the existing literature.http://dx.doi.org/10.1155/2013/413473 |
| spellingShingle | Mohammad Imdad Sunny Chauhan Sumitra Dalal Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces Abstract and Applied Analysis |
| title | Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces |
| title_full | Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces |
| title_fullStr | Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces |
| title_full_unstemmed | Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces |
| title_short | Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces |
| title_sort | unified fixed point theorems via common limit range property in modified intuitionistic fuzzy metric spaces |
| url | http://dx.doi.org/10.1155/2013/413473 |
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