Abstract

In order to establish some common fixed point theorems on Hausdorff uniform spaces endowed with a graph we will define a new kind of generalized contraction for self-mappings. A few related examples are also provided to support our main results. Finally an application of our results in $b$-metric spaces is exhibited.

Keywords: Fixed points; uniform spaces; graph; connectivity.

MSC: 47H10, 54E15, 05C40, 54H25

Pages:  232--242     

Volume  72 ,  Issue  3 ,  2020