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J. Math. Comput. Sci. 12 (2022), Article ID 133

Some rational contraction and applications of fixed point theorems to F-metric space in differential equations

Mohammed M.A. Taleb, V.C. Borkar

Abstract

In this article, we present define generalized (αθ-ψ)-rational contraction in F-metric spaces and find a new fixed point results, and apply the results we obtained for study existence and uniqueness solution of nonlinear neutral differential equation with an unbounded delay.

Published
4 April 2022
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2022 Mohammed M.A. Taleb, V.C. Borkar. 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

M. M. A. Taleb, V. C. Borkar, Some rational contraction and applications of fixed point theorems to F-metric space in differential equations, J. Math. Comput. Sci. 12 (2022), 133. https://doi.org/10.28919/jmcs/7266

BibTeX
@article{Taleb2022,
  author  = {Taleb, Mohammed M.A. and Borkar, V.C.},
  title   = {Some rational contraction and applications of fixed point theorems to F-metric space in differential equations},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {133},
  doi     = {10.28919/jmcs/7266}
}