Best Approximation Results in Various Frameworks
Autor: | Mohamed Aamri, Taoufik Sabar, Abdelhafid Bassou |
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Jazyk: | angličtina |
Rok vydání: | 2019 |
Předmět: |
Pure mathematics
Algebra and Number Theory dualistic partial metric space Logic lcsh:Mathematics 010102 general mathematics best proximity point extended partial Sb-metric space lcsh:QA1-939 01 natural sciences Convexity 010101 applied mathematics Metric space Computer Science::Programming Languages tricyclic mappings Point (geometry) Geometry and Topology 0101 mathematics Mathematical Physics Analysis Mathematics |
Zdroj: | Axioms, Vol 8, Iss 2, p 67 (2019) Axioms; Volume 8; Issue 2; Pages: 67 |
ISSN: | 2075-1680 |
Popis: | We first provide a best proximity point result for quasi-noncyclic relatively nonexpansive mappings in the setting of dualistic partial metric spaces. Then, those spaces will be endowed with convexity and a result for a cyclic mapping will be obtained. Afterwards, we prove a best proximity point result for tricyclic mappings in the framework of the newly introduced extended partial S b -metric spaces. In this way, we obtain extensions of some results in the literature. |
Databáze: | OpenAIRE |
Externí odkaz: | |
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