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In 1986, S. G. Matthews introduced the concept of dislocated metric space under metric domains in the context of domain theory. In 2000, P. Hitzler and A.K. Seda introduced the concept of dislocated topology where the initiation of dislocated metric space is appeared. Since then, many authors have established fixed point theorems in dislocated metric space. In the literature one can find many interesting articles in the field of dislocated metric space(See for examples [6, 7, 8, 9, 11, 12]). The study of fixed points of mappings satisfying a general contractive condition of integral type have been a very interesting and active field of research activity after the establishment of a theorem by A. Branciari [2]. The purpose of this article to establish a common fixed point theorem for weakly compatible mappings with common limit range property in dislocated metric space.

AN INTEGRAL TYPE COMMON FIXED POINT THEOREM IN DISLOCATED METRIC SPACE