Semi-compatible and reciprocally continuous maps in weak non-Archimedean Menger PM-spaces
| Autor: | Bessem Samet, Calogero Vetro, Urmila Mishra, Kumar Hemant Nashine |
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| Přispěvatelé: | Mishra, U, Nashine, HK, Samet, B, Vetro, C |
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Discrete mathematics
Non-Archimedean Menger Space Compatible Semi compatible Weakly compatible Reciprocally continuous Weakly compatible Settore MAT/05 - Analisi Matematica General Mathematics Compatibility (mechanics) Common fixed point Fixed-point theorem Common fixed point theorem Reciprocal Mathematics |
| Popis: | In this paper, we introduce semi-compatible maps and reciprocally continuous maps in weak non-Archimedean PM-spaces and establish a common fixed point theorem for such maps. Moreover, we show that, in the context of reciprocal continuity, the notions of compatibility and semi-compatibility of maps become equivalent. Our result generalizes several fixed point theorems in the sense that all maps involved in the theorem can be discontinuous even at the common fixed point. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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