SOME GENERALIZATIONS OF KANNAN'S THEOREMS VIA ΣC-FUNCTION AND ITS APPLICATION
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In this article, we go on to discuss various proper extensions of Kannan’s two different fixed point theorems, and introduce the new concept of σc-function, which is independent of the three notions of simulation function, manageable functions, and R-functions. These results are analogous to some well-known theorems, and extend several known results in this literature. An application of the new results to the integral equation is also provided.
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