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

共 50 条

[41] S-γ-φ-φ-contractive type mappings in S-metric spaces
Zhou, Mi
Liu, Xiao-Lan
Radenovic, Stojan
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1613 - 1639
[42] Metric type spaces and λ-sequences
Gaba, Yae Ulrich
QUAESTIONES MATHEMATICAE, 2017, 40 (01) : 49 - 55
[43] CARISTI'S TYPE MAPPINGS ON COMPLETE PARTIAL METRIC SPACES
Acar, Ozlem
Altun, Ishak
Romaguera, Salvador
FIXED POINT THEORY, 2013, 14 (01): : 3 - 9
[44] Fractional Integrals on Variable Hardy-Morrey Spaces
Tan, J.
Zhao, J.
ACTA MATHEMATICA HUNGARICA, 2016, 148 (01) : 174 - 190
[45] Bi-commutators of fractional integrals on product spaces
Chen, Wengu
Han, Yongsheng
Miao, Changxing
MATHEMATISCHE NACHRICHTEN, 2008, 281 (08) : 1108 - 1118
[46] A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces
Jiali Lian
Huoxiong Wu
Journal of Inequalities and Applications, 2008
[47] Fixed Point Theorems in Controlled Rectangular Modular Metric Spaces with Solution of Fractional Differential Equations
Ishtiaq, Umar
Saleem, Naeem
Farhan, Muhammad
Aphane, Maggie
Chowdhury, Mohammad S. R.
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
[48] Fixed Point Theorems in Symmetric Controlled M-Metric Type Spaces
Suwais, Khaled
Tas, Nihal
Ozgur, Nihal
Mlaiki, Nabil
SYMMETRY-BASEL, 2023, 15 (09):
[49] On Fixed-Point Results in Controlled Partial Metric Type Spaces with a Graph
Souayah, Nizar
Mrad, Mehdi
MATHEMATICS, 2020, 8 (01)
[50] Fredholm Type Integral Equation in Controlled Rectangular Metric-like Spaces
Haque, Salma
Azmi, Fatima
Mlaiki, Nabil
SYMMETRY-BASEL, 2022, 14 (05):

← 1 2 3 4 5 →