Fixed points of multivalued mappings in metric spaces
Admissibility of mappings are introduced to create conditions to minimally restrict various contractive conditions on pairs of points from a metric space in order to ensure fixed point property of the respective contractions. In the present work we define new admissibility conditions and control fun...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University Constantin Brancusi of Targu-Jiu
2019-02-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v14/p14_01.pdf |
| Summary: | Admissibility of mappings are introduced to create conditions to minimally restrict various contractive conditions on pairs of points from a metric space in order to ensure fixed point property of the respective contractions. In the present work we define new admissibility conditions and control functions to obtain certain multivalued fixed point theorems. The corresponding single valued case is discussed. We define four weak contraction mappings of which two are multivalued and two are single valued. The results are without any assumption of continuity. There is an illustrative example. |
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| ISSN: | 1843-7265 1842-6298 |