MULTI-VALUED HICKS CONTRACTIONS IN b-MENGER SPACES

Abstract

In this work, we will generalize the notion of multivalued (ν, C)-contraction mapping in b-Menger spaces and we shall give a new fixed point result of this type of mappings. As a consequence of our main result, we obtained the corresponding fixed point theorem in fuzzy b-metric spaces. Also, an example will be given to illustrate the main theorem in ordinary b-metric spaces.