Rational Type Contractions in Extended b-Metric Spaces

被引：15

作者：

Huang, Huaping ^{[1
]}

Singh, Yumnam Mahendra ^{[2
]}

Khan, Mohammad Saeed ^{[3
]}

Radenovic, Stojan ^{[4
]}

机构：

[1] Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404020, Peoples R China

[2] Manipur Inst Technol, Dept Basic Sci & Humanities, Takelpat 795004, Manipur, India

[3] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0208 Ga Rankuwa, South Africa

[4] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11120, Serbia

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 04期

关键词：

comparison function; α -admissible; rational type contraction; extended b-metric space; Fredholm integral equation; FIXED-POINT THEOREMS; MAPPINGS;

D O I：

10.3390/sym13040614

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 establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results. Furthermore, as applications, we obtain the existence of solution to a class of Fredholm integral equations.

引用

页数：19

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