- Gazi University Journal of Science
- Vol: 28 Issue: 4
- g- reciprocal Continuity in Probabilistic Metric Spaces
g- reciprocal Continuity in Probabilistic Metric Spaces
Authors : Arvind Bhatt
Pages : 645-649
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Publication Date : 2015-12-15
Article Type : Other
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.