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A Minimal Continuity Condition and Existence of Common Fixed Points

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Abstract

The aim of the present paper is to prove common fixed point theorems for minimal type of continuity and contractive conditions. We also obtain a common fixed point theorem for noncompatible mappings satisfying a generalized Lipschitz type condition. Our results generalize several well-known results due to Jungck (Am. Math. Mon. 83:261–263, 1976) and Pant and Bisht (Ann. Univ. Ferrara 58:127–141, 2012).

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Acknowledgement

The author is thankful to the referee for his valuable suggestions to improve the paper.

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Authors and Affiliations

  1. Department of Mathematics, Kumaun University Nainital, D.S.B. Campus, 263002, India

    Ravindra Kishor Bisht

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  1. Ravindra Kishor Bisht
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Correspondence to Ravindra Kishor Bisht.

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Bisht, R.K. A Minimal Continuity Condition and Existence of Common Fixed Points. Viet J Math 41, 51–58 (2013). https://doi.org/10.1007/s10013-013-0013-7

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  • DOI: https://doi.org/10.1007/s10013-013-0013-7

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