Some results on MKKCR-type coupling on complete metric space

Dakjum  Eshi; Bipan Hazarika; Nipen Saikia

doi:10.5269/bspm.69351

Dakjum Eshi Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh
Bipan Hazarika Rajiv Gandhi University
Nipen Saikia Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh

Resumo

The terms MKKCR type coupling, MKKR type coupling, and MKCR type coupling are defined in this study by fusing the concepts of coupled fixed points, cyclic contractions, and Meir-Keeler mappings. In the context of entire metric space, several results of strongly coupled fixed points are produced for these contraction mappings. We provide an illustration to back up our main finding. It has also been argued how our main finding can be applied to the question of whether a class of nonlinear integral equations exists. Our findings generalize a number of previously published findings on coupled fixed points, particularly findings related to Chatterjea and Kannan type contractions.

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Biografia do Autor

Dakjum Eshi, Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh

Department of Mathematics, Assistant Proefessor

Bipan Hazarika, Rajiv Gandhi University

Mathematics

Professor

Nipen Saikia , Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh

Department of Mathematics, Associate Professor

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