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Common fixed point theorems for a pair of compatible maps using a control function

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The purpose of this paper is to establish a common fixed point theorem for a pair of selfmaps of a complete metric space by applying the technique altering distances between the points, using a control function, which is our main result. Also it is extended to a sequence of selfmaps. These results generalize the results of Babu and Ismail [1], Is´eki [2], Singh [17] and Som [18].

Abstract

The purpose of this paper is to establish a common fixed point theorem for a pair of selfmaps of a complete metric space by applying the technique altering distances between the points, using a control function, which is our main result. Also it is extended to a sequence of selfmaps. These results generalize the results of Babu and Ismail [1], Is´eki [2], Singh [17] and Som [18].

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