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Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces
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| Zeitschriftentitel: | The Scientific World Journal |
|---|---|
| Personen und Körperschaften: | , |
| In: | The Scientific World Journal, 2014, 2014, S. 1-12 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Hindawi Limited
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Hussain, N. Salimi, P. Hussain, N. Salimi, P. |
|---|---|
| author |
Hussain, N. Salimi, P. |
| spellingShingle |
Hussain, N. Salimi, P. The Scientific World Journal Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces General Environmental Science General Biochemistry, Genetics and Molecular Biology General Medicine |
| author_sort |
hussain, n. |
| spelling |
Hussain, N. Salimi, P. 2356-6140 1537-744X Hindawi Limited General Environmental Science General Biochemistry, Genetics and Molecular Biology General Medicine http://dx.doi.org/10.1155/2014/981578 <jats:p>The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>-admissible modular contractive mappings in modular metric spaces. As applications, we derive some new fixed point theorems in partially ordered modular metric spaces, Suzuki type fixed point theorems in modular metric spaces and new fixed point theorems for integral contractions. In last section, we develop an important relation between fuzzy metric and modular metric and deduce certain new fixed point results in triangular fuzzy metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results.</jats:p> Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces The Scientific World Journal |
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| title |
Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
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Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
| title_full |
Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
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Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
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Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
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Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
| title_sort |
implicit contractive mappings in modular metric and fuzzy metric spaces |
| topic |
General Environmental Science General Biochemistry, Genetics and Molecular Biology General Medicine |
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http://dx.doi.org/10.1155/2014/981578 |
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2014 |
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<jats:p>The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>-admissible modular contractive mappings in modular metric spaces. As applications, we derive some new fixed point theorems in partially ordered modular metric spaces, Suzuki type fixed point theorems in modular metric spaces and new fixed point theorems for integral contractions. In last section, we develop an important relation between fuzzy metric and modular metric and deduce certain new fixed point results in triangular fuzzy metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results.</jats:p> |
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| description | <jats:p>The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>-admissible modular contractive mappings in modular metric spaces. As applications, we derive some new fixed point theorems in partially ordered modular metric spaces, Suzuki type fixed point theorems in modular metric spaces and new fixed point theorems for integral contractions. In last section, we develop an important relation between fuzzy metric and modular metric and deduce certain new fixed point results in triangular fuzzy metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results.</jats:p> |
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| spelling | Hussain, N. Salimi, P. 2356-6140 1537-744X Hindawi Limited General Environmental Science General Biochemistry, Genetics and Molecular Biology General Medicine http://dx.doi.org/10.1155/2014/981578 <jats:p>The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>-admissible modular contractive mappings in modular metric spaces. As applications, we derive some new fixed point theorems in partially ordered modular metric spaces, Suzuki type fixed point theorems in modular metric spaces and new fixed point theorems for integral contractions. In last section, we develop an important relation between fuzzy metric and modular metric and deduce certain new fixed point results in triangular fuzzy metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results.</jats:p> Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces The Scientific World Journal |
| spellingShingle | Hussain, N., Salimi, P., The Scientific World Journal, Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces, General Environmental Science, General Biochemistry, Genetics and Molecular Biology, General Medicine |
| title | Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
| title_full | Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
| title_fullStr | Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
| title_full_unstemmed | Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
| title_short | Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
| title_sort | implicit contractive mappings in modular metric and fuzzy metric spaces |
| title_unstemmed | Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces |
| topic | General Environmental Science, General Biochemistry, Genetics and Molecular Biology, General Medicine |
| url | http://dx.doi.org/10.1155/2014/981578 |