g- reciprocal Continuity in Probabilistic Metric Spaces

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

References

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