Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions
Remarkable feature of contractions is associated with the concept Mizoguchi-Takahashi function. For the purpose of extension and modification of classical ideas related with Mizoguchi-Takahashi contraction, we define generalized Mizoguchi-Takahashi G-contractions and establish some generalized fixed...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/6514920 |
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| _version_ | 1832551034490191872 |
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| author | Nawab Hussain Jamshaid Ahmad Marwan Amin Kutbi |
| author_facet | Nawab Hussain Jamshaid Ahmad Marwan Amin Kutbi |
| author_sort | Nawab Hussain |
| collection | DOAJ |
| description | Remarkable feature of contractions is associated with the concept Mizoguchi-Takahashi function. For the purpose of extension and modification of classical ideas related with Mizoguchi-Takahashi contraction, we define generalized Mizoguchi-Takahashi G-contractions and establish some generalized fixed point theorems regarding these contractions in this paper. Some applications to the construction of a fixed point of multivalued mappings in ε-chainable metric space are also discussed. |
| format | Article |
| id | doaj-art-32f6aa8acdca43cc968ea5272925b797 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-32f6aa8acdca43cc968ea5272925b7972025-02-03T06:05:06ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/65149206514920Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic ContractionsNawab Hussain0Jamshaid Ahmad1Marwan Amin Kutbi2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Sargodha (Subcampus Bhakkar), Bhakkar, PakistanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaRemarkable feature of contractions is associated with the concept Mizoguchi-Takahashi function. For the purpose of extension and modification of classical ideas related with Mizoguchi-Takahashi contraction, we define generalized Mizoguchi-Takahashi G-contractions and establish some generalized fixed point theorems regarding these contractions in this paper. Some applications to the construction of a fixed point of multivalued mappings in ε-chainable metric space are also discussed.http://dx.doi.org/10.1155/2016/6514920 |
| spellingShingle | Nawab Hussain Jamshaid Ahmad Marwan Amin Kutbi Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions Journal of Function Spaces |
| title | Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions |
| title_full | Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions |
| title_fullStr | Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions |
| title_full_unstemmed | Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions |
| title_short | Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions |
| title_sort | fixed point theorems for generalized mizoguchi takahashi graphic contractions |
| url | http://dx.doi.org/10.1155/2016/6514920 |
| work_keys_str_mv | AT nawabhussain fixedpointtheoremsforgeneralizedmizoguchitakahashigraphiccontractions AT jamshaidahmad fixedpointtheoremsforgeneralizedmizoguchitakahashigraphiccontractions AT marwanaminkutbi fixedpointtheoremsforgeneralizedmizoguchitakahashigraphiccontractions |