A GENERALIZATION OF KANNAN AND CHATTERJEA FIXED POINT THEOREMS ON COMPLETE b-METRIC SPACES

In this paper, we give some results on the common xed point of self-mappings de ned on complete b-metric spaces. Our results generalize Kannan and Chatterjea xed point theorems on complete b-metric spaces. In particular, we show that two self-mappings satisfying a contraction type inequality have a unique common xed point. We also give some examples to illustrate the given results.

Keywords:

b-metric space , Common xed point , Altering distance function