NEW FIXED POINT RESULTS FOR GERAGHTY CONTRACTIONS AND THEIR APPLICATIONS

Barakah Almarri; Samad Mujahid; Izhar Uddin

doi:10.11948/20230004

2023 Volume 13 Issue 5

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Barakah Almarri, Samad Mujahid, Izhar Uddin. NEW FIXED POINT RESULTS FOR GERAGHTY CONTRACTIONS AND THEIR APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2788-2798. doi: 10.11948/20230004

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Barakah Almarri, Samad Mujahid, Izhar Uddin. NEW FIXED POINT RESULTS FOR GERAGHTY CONTRACTIONS AND THEIR APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2788-2798. doi: 10.11948/20230004

NEW FIXED POINT RESULTS FOR GERAGHTY CONTRACTIONS AND THEIR APPLICATIONS

1.
Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
2.
Department of mathematics, Jamia Millia Islamia, New Delhi-110025, India

Author Bio: Email: bjalmarri@pnu.edu.sa(B. Almarri); Email: mujahidsamad721@gmail.com(S. Mujahid)
Corresponding author: Email: izharuddin1@jmi.ac.in(I. Uddin)

Abstract

Abstract

In this paper, we prove existence and uniqueness of fixed point involving Geraghty contraction in a metric space endowed with a binary relation. Moreover, we give an application to periodic boundary value problems regarding to ordinary differential equations (ODE).
- Binary relation /
- $\mathcal{R}$-completeness /
- d-self-closedness
MSC: 47H10, 54H25

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References

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