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.

Mishra, U., Nashine, H.K., Samet, B., Vetro, C. (2012). Semi-compatible and reciprocally continuous maps in weak non-Archimedean Menger PM-spaces. FILOMAT, 26(4), 783-792 [10.2298/FIL1204783M].

Semi-compatible and reciprocally continuous maps in weak non-Archimedean Menger PM-spaces

VETRO, Calogero
2012-01-01

Abstract

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.
Settore MAT/05 - Analisi Matematica
Mishra, U., Nashine, H.K., Samet, B., Vetro, C. (2012). Semi-compatible and reciprocally continuous maps in weak non-Archimedean Menger PM-spaces. FILOMAT, 26(4), 783-792 [10.2298/FIL1204783M].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/66347
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