Some generalizations of Kannan's theorems via σc-function and its application
Abstract
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 
, 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.
Keywords:
fixed point, coincidence point, Kannan’s mapping, simulation function, R-function, manageable function, σc-functionHow to Cite
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Copyright (c) 2019 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2019 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.