The Journal of the Indian Mathematical Society

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Generalization of a Meir-Keeler Type Fixed Point Theorem


Affiliations
1 Department of Mathematics, Kumaon University, D.S.B. Campus, Nainital-263002, Uttaranchal, India
2 Department of Mathematical Sciences, Kathmandu University, P.O. Box-6250, Kathmandu, Nepal
     

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The aim of the present paper is to obtain a fixed point theorem for a sequence of mappings satisfying a weak form of Meir-Keeler type (ε,δ)- contractive condition together with a (Φ-contractive condition without assuming any additional conditions on δ and Φ. The present theorem extends and unifies the Meir-Keeler type and a Φ-contractive type fixed point theorems.
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  • Generalization of a Meir-Keeler Type Fixed Point Theorem

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Authors

R. P. Pant
Department of Mathematics, Kumaon University, D.S.B. Campus, Nainital-263002, Uttaranchal, India
K. Jha
Department of Mathematical Sciences, Kathmandu University, P.O. Box-6250, Kathmandu, Nepal
A. B. Lohani
Department of Mathematics, Kumaon University, D.S.B. Campus, Nainital-263002, Uttaranchal, India

Abstract


The aim of the present paper is to obtain a fixed point theorem for a sequence of mappings satisfying a weak form of Meir-Keeler type (ε,δ)- contractive condition together with a (Φ-contractive condition without assuming any additional conditions on δ and Φ. The present theorem extends and unifies the Meir-Keeler type and a Φ-contractive type fixed point theorems.