The Journal of the Indian Mathematical Society

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A Comparison of Contractive Definitions


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1 Department of Mathematics, Kumaon University, D.S.B. Campus, Nainital-263 002 Uttaranchal, India
     

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In the present paper we compare various Meir-Keeler type contractive definitions. By considering the common features of various contractive definitions we introduce some new contractive definitions which on using standard type assumptions and argument will yield new fixed point theorems. The paper opens up scope for the study of a large class of interesting Meir-Keeler type contractive definitions and their associated fixed point theorems.
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  • A Comparison of Contractive Definitions

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Authors

R. P. Pant
Department of Mathematics, Kumaon University, D.S.B. Campus, Nainital-263 002 Uttaranchal, India

Abstract


In the present paper we compare various Meir-Keeler type contractive definitions. By considering the common features of various contractive definitions we introduce some new contractive definitions which on using standard type assumptions and argument will yield new fixed point theorems. The paper opens up scope for the study of a large class of interesting Meir-Keeler type contractive definitions and their associated fixed point theorems.