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Weak reciprocal continuity and fixed point theorems

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Abstract

The aim of the present paper is to introduce the notion of weak reciprocal continuity and obtain fixed point theorems by employing the new notion. The new notion is a proper generalization of reciprocal continuity and is applicable to compatible mappings as well as noncompatible mappings. Our results generalize several fixed point theorems.

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Authors and Affiliations

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

    R. P. Pant, R. K. Bisht & D. Arora

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  1. R. P. Pant
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  2. R. K. Bisht
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  3. D. Arora
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Correspondence to R. K. Bisht.

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Pant, R.P., Bisht, R.K. & Arora, D. Weak reciprocal continuity and fixed point theorems. Ann Univ Ferrara 57, 181–190 (2011). https://doi.org/10.1007/s11565-011-0119-3

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  • DOI: https://doi.org/10.1007/s11565-011-0119-3

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