Fixed point theorems in metric spaces and probabilistic metric spaces
In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to probabilistic metric spaces.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000348 |
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| _version_ | 1832553214102208512 |
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| author | Yeol Je Cho Keun Saeng Park Shih-Sen Chang |
| author_facet | Yeol Je Cho Keun Saeng Park Shih-Sen Chang |
| author_sort | Yeol Je Cho |
| collection | DOAJ |
| description | In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to probabilistic metric spaces. |
| format | Article |
| id | doaj-art-a4c2a0af6afc49d5bfc354ab8879afaa |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a4c2a0af6afc49d5bfc354ab8879afaa2025-02-03T05:55:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119224325210.1155/S0161171296000348Fixed point theorems in metric spaces and probabilistic metric spacesYeol Je Cho0Keun Saeng Park1Shih-Sen Chang2Department of Mathematics, Gyeongsang National University, Jinju 660-701, KoreaDepartment of Mathematics, Gyeongsang National University, Jinju 660-701, KoreaDepartment of Mathematics, Sichuan University, Sichuan, Chengdu 610064, ChinaIn this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to probabilistic metric spaces.http://dx.doi.org/10.1155/S0161171296000348 |
| spellingShingle | Yeol Je Cho Keun Saeng Park Shih-Sen Chang Fixed point theorems in metric spaces and probabilistic metric spaces International Journal of Mathematics and Mathematical Sciences |
| title | Fixed point theorems in metric spaces and probabilistic metric spaces |
| title_full | Fixed point theorems in metric spaces and probabilistic metric spaces |
| title_fullStr | Fixed point theorems in metric spaces and probabilistic metric spaces |
| title_full_unstemmed | Fixed point theorems in metric spaces and probabilistic metric spaces |
| title_short | Fixed point theorems in metric spaces and probabilistic metric spaces |
| title_sort | fixed point theorems in metric spaces and probabilistic metric spaces |
| url | http://dx.doi.org/10.1155/S0161171296000348 |
| work_keys_str_mv | AT yeoljecho fixedpointtheoremsinmetricspacesandprobabilisticmetricspaces AT keunsaengpark fixedpointtheoremsinmetricspacesandprobabilisticmetricspaces AT shihsenchang fixedpointtheoremsinmetricspacesandprobabilisticmetricspaces |