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http://hdl.handle.net/10553/40193
Title: | A best proximity point theorem using discontinuous functions | Authors: | Choudhury, B. S. Maity, P. Sadarangani, Kishin |
UNESCO Clasification: | 120299 Otras (especificar) 1202 Análisis y análisis funcional 120201 Algebra de operadores |
Keywords: | Best proximity point Control function Non-self map Weak contraction Weak P-property, et al |
Issue Date: | 2017 | Journal: | Journal of Convex Analysis | Abstract: | In this paper, we prove a best proximity point theorem for generalized weak contractions with discontinuous control functions in the context of metric spaces and partially ordered metric spaces. The main argument in our proofs is based on transforming a question of best proximity point to one about a fixed point. Moreover, we will use a weaker condition than the P-property and we present two examples to illustrate our results. | URI: | http://hdl.handle.net/10553/40193 | ISSN: | 0944-6532 | Source: | Journal of Convex Analysis [ISSN 0944-6532], v. 24, p. 41-53 |
Appears in Collections: | Artículos |
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