Controlled S-Metric-Type Spaces and Applications to Fractional Integrals

被引：4

作者：

Ekiz Yazici, Nilay ^{[1
]}

Ege, Ozgur ^{[2
]}

Mlaiki, Nabil ^{[3
]}

Mukheimer, Aiman ^{[3
]}

机构：

[1] Bursa Tech Univ, Dept Math, TR-16310 Bursa, Turkiye

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

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

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 05期

关键词：

fixed point; S-metric; controlled metric type; fractional integral;

D O I：

10.3390/sym15051100

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we introduce controlled S-metric-type spaces and give some of their properties and examples. Moreover, we prove the Banach fixed point theorem and a more general fixed point theorem in this new space. Finally, using the new results, we give two applications on Riemann-Liouville fractional integrals and Atangana-Baleanu fractional integrals.

引用

页数：11

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