Volume 15 No 2 (2017)
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Common Fixed Point Theorems For Compatible Mappings of Type (A) In Dislocated Metric Spaces
Naveen Jha
Abstract
The study of common fixed point of mappings satisfying contractive type conditions has been a very active field of research activity. Jungck [6] initiated the concept of commuting maps and generalized it with the concept of compatible maps Jungck [7] and established some important fixed point results. Jungck, Murthy and Cho[8] initiated the concept of compatible mappings of type (A) in metric space. Recently Goyal [3] proved a common fixed point theorem for six mappings using the concept of compatible mapping of type (A). In this paper we have obtained common fixed point result for six mappings satisfying integral type contractive condition and using the concept of compatible mapping of type (A) in dislocated metric space. Our result generalizes the result of Panthi and Kumari [9] for integral type contraction in complete dislocated metric space for six mappings.
Keywords
Dislocated Metric Space,, Common Fixed Point, Compatible of type(A), Commutativity.
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