On elliptic valued b-metric spaces and some new fixed point results with an application

被引：1

作者：

Ghosh, Sudipta Kumar ^{[1
]}

Ege, Ozgur ^{[2
]}

Ahmad, Junaid ^{[3
]}

Aloqaily, Ahmad ^{[4
,5
]}

Mlaiki, Nabil ^{[4
]}

机构：

[1] Kalinga Inst Ind Technol KIIT Deemed be Univ, Sch Appl Sci, Dept Math, Bhubaneswar 751024, Odisha, India

[2] Ege Univ, Fac Sci, Dept Math, TR-35100 Bornova, Turkiye

[3] Int Islamic Univ, Dept Math & Stat, H-10, Islamabad 44000, Pakistan

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

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

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 07期

关键词：

alpha-admissible mapping; rational product terms; elliptic-valued b-metric space; simulation function; Caristi-type fixed point; Urysohn integral equation; THEOREMS; MAPPINGS;

D O I：

10.3934/math.2024835

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of elliptic-valued b-metric spaces, extending the notions of elliptic-valued metric spaces and complex-valued metric spaces. We present several fixedpoint results that involve rational and product terms within this novel space framework. To support our main findings, we offer numerical examples. Additionally, we demonstrate an application of Urysohn integral equations.

引用

页码：17184 / 17204

页数：21

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