Fixed points of set-valued mappings under generalized contractive conditions in ordered metric spaces

Abstract

In the present work we establish some new fixed point theorems for a set-valued operator satisfying generalized contractive condition in a partially ordered complete metric space. Thereafter we present common fixed point results for a pair of weakly isotone increasing set-valued mappings. Finally, some examples are given to illustrate the usability of our results, also showing that the use of order can be crucial.