Best proximity points for generalized α-ϕ-Geraghty proximal contraction mappings and its applications
| Autor: | Javad Hamzehnejadi, Rahmatollah Lashkaripour |
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| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Applied Mathematics 010102 general mathematics Mathematical analysis Fixed point 01 natural sciences 010101 applied mathematics Proximal contraction Metric space Differential geometry Contraction mapping Point (geometry) Geometry and Topology 0101 mathematics Coincidence point Mathematics Complement (set theory) |
| Zdroj: | Fixed Point Theory and Applications. 2016 |
| ISSN: | 1687-1812 |
| DOI: | 10.1186/s13663-016-0561-0 |
| Popis: | In this paper, we introduce the new notion of generalized α-ϕ-Geraghty proximal contraction mappings and investigate the existence of the best proximity point for such mappings in complete metric spaces. The obtained results extend, generalize, and complement some known fixed and best proximity point results from the literature. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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