A Bilateral Contraction via Simulation Function

被引：33

作者：

Alqahtani, Obaid ^{[1
]}

Karapinar, Erdal ^{[2
]}

机构：

[1] King Saud Univ, Dept Math, Riyadh, Saudi Arabia

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

FILOMAT | 2019年 / 33卷 / 15期

关键词：

bilateral contraction; Ciric type contraction; Caristi type contraction; Ssimulation functions; fixed point; FIXED-POINT THEOREMS; METRIC SPACES; MAPPINGS;

D O I：

10.2298/FIL1915837A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce the notion of a bilateral contraction that combine the ideas of Ciric type contraction and Caristi type contraction with a help of simulation functions. We investigate the existence of a fixed point of such contractions in the framework of complete metric spaces. We present an example to clarify the statement of the given result.

引用

页码：4837 / 4843

页数：7

共 22 条

[21] Coincidence point theorems on quasi-metric spaces via simulation functions and applications to G-metric spaces [J].

Lopez de Hierro, A. F. Roldan ;

Karapinar, E. ;

O'Regan, D. .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)

[22] Coincidence point theorems on metric spaces via simulation functions [J].

Roldan-Lopez-de-Hierro, Antonio-Francisco ;

Karapinar, Erdal ;

Roldan-Lopez-de-Hierro, Concepcion ;

Martinez-Moreno, Juan .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 275 :345-355

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