Search results for " Reciprocally continuous"

showing 2 items of 2 documents

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

2012

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.

Discrete mathematicsNon-Archimedean Menger Space Compatible Semi compatible Weakly compatible Reciprocally continuousWeakly compatibleSettore MAT/05 - Analisi MatematicaGeneral MathematicsCompatibility (mechanics)Common fixed pointFixed-point theoremCommon fixed point theoremReciprocalMathematics
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Generalized (varphi,psi)-weak contractions involving (f,g)-reciprocally continuous maps in fuzzy metric spaces

2013

We introduce the notion of (f,g)-reciprocal continuity in fuzzy metric spaces and prove a common fixed point theorem for a pair of sub-compatible maps by employing a generalized (varphi,psi)-weak contraction. As an application of our result, we prove a theorem for a (varphi,psi)-weak cyclic contraction in fuzzy metric spaces.

Settore MAT/05 - Analisi MatematicaCommon fixed point cyclic contraction reciprocally continuous maps sub-compatible maps.
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