Abstract
The Fixed Point Theorem had been proved on Reciprocally Continuous Self Mapping. In this paper the fixed point theorem on reciprocally continuous self mapping is proved under Menger Space.
Highlights
In 1964 Metric spaces were introduced by Gabler, the probabilistic metric spaces is an important part of stochastic Analysis, to develop the fixed point theory in such spaces
There are many results in fixed point theory in probabilistic metric space., since there have been many fixed point theorems proved in metric spaces and as a generalization of metric spaces, there have been only a few results in fixed point theory
Many fixed point results have been obtained for single valued in probabilistic metric Spaces
Summary
In 1964 Metric spaces were introduced by Gabler , the probabilistic metric spaces is an important part of stochastic Analysis, to develop the fixed point theory in such spaces. A coincidence point theorem for multi valued mappings satisfying generalized Hicks contraction principle in Menger Space. Fixed Point theorem is proved for multi-valued version and by using the and by using the notion of the function of non compactness, notion of the function of non compactness, A multi-valued generalization of the notion of a contraction and Fixed Point theorem are introduced in Hadzic generalized Fixed Point theorem for multi-valued in zikic proved a coincidence point theorem for three mappings which is a generalization of Hicks theorem. Sehgal and Bharucha-Reid First introduced the contraction mapping principle in probabilistic metric spaces [Hadzic and Pap].
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