6533b7cefe1ef96bd1257a92
RESEARCH PRODUCT
Semi-compatible and reciprocally continuous maps in weak non-Archimedean Menger PM-spaces
Bessem SametCalogero VetroUrmila MishraKumar Hemant Nashinesubject
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 theoremReciprocalMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-01 |