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J. Math. Comput. Sci. 12 (2022), Article ID 48

Fixed points for intimate mappings

Kavita -, Sanjay Kumar

Abstract

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.

Published
10 January 2022
Volume
12 (2022)
License
CC BY 3.0

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.

Cite this article

K. -, S. Kumar, Fixed points for intimate mappings, J. Math. Comput. Sci. 12 (2022), 48. https://doi.org/10.28919/jmcs/7017

BibTeX
@article{-2022,
  author  = {-, Kavita and Kumar, Sanjay},
  title   = {Fixed points for intimate mappings},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {48},
  doi     = {10.28919/jmcs/7017}
}