Search results for "Menger space"

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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Hybrid coincidence and common fixed point theorems in Menger probabilistic metric spaces under a strict contractive condition with an application

2014

Abstract We prove some coincidence and common fixed point theorems for two hybrid pairs of mappings in Menger spaces satisfying a strict contractive condition. An illustrative example is given to support the genuineness of our extension besides deriving some related results. Then, we establish the corresponding common fixed point theorems in metric spaces. Finally, we utilize our main result to obtain the existence of a common solution for a system of Volterra type integral equations.

Pure mathematicsApplied MathematicsMathematical analysisProbabilistic logicExtension (predicate logic)Type (model theory)Common fixed pointIntegral equationCoincidenceComputational MathematicsMetric spaceMenger's theoremSettore MAT/05 - Analisi MatematicaMenger spacetangential propertyCoincidence pointVolterra type integral equation.MathematicsApplied Mathematics and Computation
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