g- reciprocal Continuity in Probabilistic Metric Spaces

Year 2015, Volume: 28 Issue: 4, 645 - 649, 26.02.2015

Arvind Bhatt

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.

MetricSpaces

Abstract

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