Some fixed point theorems for contractive multivalued mappings in Menger probabilistic metric like spaces

Abstract

In this paper, first by using the constructions of probabilistic b-metric Menger space and probabilistic metric like Menger space, we introduce probabilistic b-metric like Menger space and present some examples of it. Then, we state and prove some fixed point theorems for teta-eta contraction multivalued mappings in these spaces. We show some fixed point results for generalized gamma-beta contraction type mappings on the probabilistic b-metric like Menger space. Finally, we present an example of usefulness and applicability of our results. ./files/site1/files/%D8%AE%D8%A7%D9%86%D9%87_%DA%AF%DB%8C%D8%B1.pdf

Keywords

• b-metric like space
• probabilistic menger metric space
• fixed point
• contractive mappings
• multi valued mapping