Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras
The fixed point theorems for one mapping and the common fixed point theorems for two mappings satisfying generalized Lipschitz conditions are obtained, without appealing to continuity for mappings or normality for cone in the conditions. Furthermore, we not only get the existence of the fixed point...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/7463435 |
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| _version_ | 1850228728471224320 |
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| author | Yan Han Shaoyuan Xu |
| author_facet | Yan Han Shaoyuan Xu |
| author_sort | Yan Han |
| collection | DOAJ |
| description | The fixed point theorems for one mapping and the common fixed point theorems for two mappings satisfying generalized Lipschitz conditions are obtained, without appealing to continuity for mappings or normality for cone in the conditions. Furthermore, we not only get the existence of the fixed point but also get the uniqueness. These results greatly improve and generalize several well-known comparable results in the literature. Moreover, example is given to support our new results. |
| format | Article |
| id | doaj-art-268d2199900e4c348e4572154a00befd |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-268d2199900e4c348e4572154a00befd2025-08-20T02:04:26ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/74634357463435Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach AlgebrasYan Han0Shaoyuan Xu1School of Mathematics and Statistics, Zhaotong University, Zhaotong 657000, ChinaSchool of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, ChinaThe fixed point theorems for one mapping and the common fixed point theorems for two mappings satisfying generalized Lipschitz conditions are obtained, without appealing to continuity for mappings or normality for cone in the conditions. Furthermore, we not only get the existence of the fixed point but also get the uniqueness. These results greatly improve and generalize several well-known comparable results in the literature. Moreover, example is given to support our new results.http://dx.doi.org/10.1155/2018/7463435 |
| spellingShingle | Yan Han Shaoyuan Xu Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras Journal of Function Spaces |
| title | Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras |
| title_full | Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras |
| title_fullStr | Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras |
| title_full_unstemmed | Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras |
| title_short | Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras |
| title_sort | some new theorems on c distance without continuity in cone metric spaces over banach algebras |
| url | http://dx.doi.org/10.1155/2018/7463435 |
| work_keys_str_mv | AT yanhan somenewtheoremsoncdistancewithoutcontinuityinconemetricspacesoverbanachalgebras AT shaoyuanxu somenewtheoremsoncdistancewithoutcontinuityinconemetricspacesoverbanachalgebras |