Some fixed point theorems under contraction conditions using linear and rational expression in dislocated metric space

Abstract

In this paper, we have established some fixed point results in dislocated metric space. These results are proved for different types of contraction conditions using linear and rational expression for single as well as for pair of mappings which generalize some of the well known fixed point results of the literature available in fixed point theory. For pair of mappings we have established common fixed point result. Suitable examples for established results are also given. Few more related results are derived in the end.