g- reciprocal Continuity in Probabilistic Metric Spaces

Authors : Arvind BHATT

Pages : 645-649

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Publication Date : 2015-12-28

Article Type : Research Paper

Abstract :In the present paper we obtain a common fixed point theorem by employing the notion of g- reciprocal continuity in probabilistic metric space. We demonstrate that g- reciprocal continuity ensures the existence of common xed point under strict contractive conditions, which otherwise do not ensure the existence of fixed points.
Keywords : Probabilistic metric space, fixed point theorem, g reciprocal continuity, noncompatible mappings, g compatible