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

被引：14

作者：

Gnanaprakasam, Arul Joseph ^{[1
]}

Mani, Gunaseelan ^{[2
]}

Ege, Ozgur ^{[3
]}

Aloqaily, Ahmad ^{[4
,5
]}

Mlaiki, Nabil ^{[4
]}

机构：

[1] SRM Inst Sci & Technol, Coll Engn & Technol, Dept Math, Kattankulathur 603203, India

[2] Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai 602105, India

[3] Ege Univ, Dept Math, TR-35100 Izmir, Turkiye

[4] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[5] Western Sydney Univ, Sch Comp Data & Math Sci, Sydney, NSW 2150, Australia

来源：

MATHEMATICS | 2023年 / 11卷 / 03期

关键词：

fixed point; orthogonal b-metric space; orthogonal alpha-almost Istratescu contractions; Elzaki transform convolution; CONVEX CONTRACTION-MAPPINGS; THEOREMS;

D O I：

10.3390/math11030677

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we present the concept of orthogonal alpha-almost Istratescu 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.

引用

页数：18

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