ORBITAL FIXED POINT THEOREM IN G-MENGER SPACES

Abstract

In this study, we present a novel fixed point property for self mappings on G-Menger space under ϖ-probabilistic contraction and the boundedness of orbit conditions.In order to realize our idea, we establish a link between the t-norm of H-type and the boundedness of orbit also, we investigate the finding results to prove the existence and uniqueness of a common fixed point for a family of mapping in this kind of spaces. Our discoveries extend many results in the literature.