Fixed points for intimate mappings

Kavita -, Sanjay Kumar


In this paper, we introduce (ψ,φ)-weak contraction condition that involves cubic terms of distance function. We prove some fixed point theorems for pairs of intimate mappings satisfying newly introduced contraction condition and generalize the result of Murthy and Prasad [14] and Jain et al. [8]. At the end, an application for integral type contraction condition is given.

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Published: 2022-01-10

How to Cite this Article:

Kavita -, Sanjay Kumar, Fixed points for intimate mappings, J. Math. Comput. Sci., 12 (2022), Article ID 48

Copyright © 2022 Kavita -, Sanjay Kumar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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