Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces
We introduce the concepts of (H,ψ,Φ)-contraction and probabilistic (α,φ)-contraction mappings in generalized probabilistic metric spaces and prove some fixed point theorems for such two types of mappings in generalized probabilistic metric spaces. Our results generalize and extend many comparable re...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/103764 |
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| _version_ | 1832549166340898816 |
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| author | Chuanxi Zhu Wenqing Xu Zhaoqi Wu |
| author_facet | Chuanxi Zhu Wenqing Xu Zhaoqi Wu |
| author_sort | Chuanxi Zhu |
| collection | DOAJ |
| description | We introduce the concepts of (H,ψ,Φ)-contraction and probabilistic (α,φ)-contraction mappings in generalized probabilistic metric spaces and prove some fixed point theorems for such two types of mappings in generalized probabilistic metric spaces. Our results generalize and extend many comparable results in existing literature. Some examples are also given to support our results. Finally, an application to the existence of solutions for a class of integral equations is presented by utilizing one of our main results. |
| format | Article |
| id | doaj-art-6b65060e78464f83aa8756fac423b237 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6b65060e78464f83aa8756fac423b2372025-02-03T06:11:58ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/103764103764Some Fixed Point Theorems in Generalized Probabilistic Metric SpacesChuanxi Zhu0Wenqing Xu1Zhaoqi Wu2Department of Mathematics, Nanchang University, Nanchang 330031, ChinaDepartment of Mathematics, Nanchang University, Nanchang 330031, ChinaDepartment of Mathematics, Nanchang University, Nanchang 330031, ChinaWe introduce the concepts of (H,ψ,Φ)-contraction and probabilistic (α,φ)-contraction mappings in generalized probabilistic metric spaces and prove some fixed point theorems for such two types of mappings in generalized probabilistic metric spaces. Our results generalize and extend many comparable results in existing literature. Some examples are also given to support our results. Finally, an application to the existence of solutions for a class of integral equations is presented by utilizing one of our main results.http://dx.doi.org/10.1155/2014/103764 |
| spellingShingle | Chuanxi Zhu Wenqing Xu Zhaoqi Wu Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces Abstract and Applied Analysis |
| title | Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces |
| title_full | Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces |
| title_fullStr | Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces |
| title_full_unstemmed | Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces |
| title_short | Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces |
| title_sort | some fixed point theorems in generalized probabilistic metric spaces |
| url | http://dx.doi.org/10.1155/2014/103764 |
| work_keys_str_mv | AT chuanxizhu somefixedpointtheoremsingeneralizedprobabilisticmetricspaces AT wenqingxu somefixedpointtheoremsingeneralizedprobabilisticmetricspaces AT zhaoqiwu somefixedpointtheoremsingeneralizedprobabilisticmetricspaces |