Fixed Point Principles in General b-Metric Spaces and b-Menger Probabilistic spaces

Abstract

In this work, three general principles for existence a fixed point and a common fixed point are proved in types of general metric spaces, which conclude the existence a fixed point of set-valued mapping in a general b-metric space , the existence of common fixed point of three commuting orbitally continuous χ- condensing mappings and a result of fixed point for set-valued condensing mapping defined on probabilistic bounded subset of b- Menger probabilistic metric space.