Fixed points of ´Ciri´c and Caristi-type multivalued contractions

The aim of this paper is to introduce the concept of multi-valued contraction that combine a renowned ´Ciri´c-type contraction and Caristi-type contractions in the framework of metric spaces. The existence of fixed points for such contractions equipped with some suitable hypotheses are proved and some analogues of the fixed point theorems presented herein are deduced as corollaries. Moreover, an example is given to illustrate the validity of obtained main result.