The (W, 0)-orthogonal interpolative contractions and an application to fractional differential equations

被引：2

作者：

Nazam, Muhammad ^{[1
]}

Javed, Khalil ^{[2
]}

Arshad, Muhammad ^{[2
]}

机构：

[1] Allama Iqbal Open Univ, Dept Math, H-8, Islamabad, Pakistan

[2] Int Islamic Univ, Dept Math & Stat, H-10, Islamabad, Pakistan

来源：

FILOMAT | 2023年 / 37卷 / 04期

关键词：

fixed point; (W-0)-orthogonal interpolative contractions; complete O-metric space; application; FIXED-POINT THEOREMS; ORTHOGONAL SETS;

D O I：

10.2298/FIL2304167N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript, we introduce the (W, 0)-orthogonal interpolative contraction as a generaliza-tion of an orthogonal interpolative contraction. We prove several fixed point theorems stating conditions under which (W, 0)-orthogonal interpolative contraction admits a fixed point. Our fixed point results are improvements of several known results in literature. As an application, we resolve a fractional differential equation.

引用

页码：1167 / 1185

页数：19

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