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Adv. Inequal. Appl. 2019 (2019), Article ID 1

Fixed point results for rational α-Geraghty contractive mappings

Koti N.V.V. Vara Prasad, A. K. Singh

Abstract

In this paper, we introduce a notion of rational α-Geraghty contractive mapping in the setting of metric space and establish some fixed point theorems for such maps and give a suitable example to illustrate our results. Also, we discuss application into ordinary differential equations.

Published
4 January 2019
Volume
2019 (2019)
License
CC BY 3.0

Copyright © 2019 Koti N.V.V. Vara Prasad, A. K. Singh. 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. N. V. V. Vara Prasad, A. K. Singh, Fixed point results for rational α-Geraghty contractive mappings, Adv. Inequal. Appl. 2019 (2019), 1. https://doi.org/10.28919/aia/3847

BibTeX
@article{Prasad2019,
  author  = {Vara Prasad, Koti N.V.V. and Singh, A. K.},
  title   = {Fixed point results for rational α-Geraghty contractive mappings},
  journal = {Adv. Inequal. Appl.},
  volume  = {2019},
  year    = {2019},
  pages   = {1},
  doi     = {10.28919/aia/3847}
}