On Fixed Point Theorems in Probabilistic Metric Spaces and Applications

摘要

In [4] S. Gahler formulated an appropriate system of axioms for a distance between three points and developed atheory of 2-metric spaces. A slight enlargement of the concept of 2-metric space was given in [3], where B. C. Dhage studiedso called generalized metric spaces. In the present paper we have studied contraction conditions for mappings defined on aclass of probabilistic metric space and fixed point theorems for such mappings. As a particular cases we have obtain fixedpoint theorems for random operator and for mappings defined on deterministic metric spaces.