New Fixed Point Results in Orthogonal B-Metric Spaces with Related Applications

Makaleler > Tam Makale · 2023

Yazarlar: Arul Joseph Gnanaprakasam, Gunaseelan Mani, Özgür EGE, Ahmad Aloqaily, Nabil Mlaiki

Mathematics, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2023, cilt 11, ss 677-677

DOI: 10.3390/math11030677

Özet

In this article, we present the concept of orthogonal α-almost Istra˘tescu contraction of types D and D* and prove some fixed point theorems on orthogonal b-metric spaces. We also provide an illustrative example to support our theorems. As an application, we establish the existence and uniqueness of the solution of the fractional differential equation and the solution of the integral equation using Elzaki transform.

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