A New Approach to the Study of Fixed Point Theory for Simulation Functions

被引：286

作者：

Khojasteh, Farshid ^{[1
]}

Shukla, Satish ^{[2
]}

Radenovic, Stojan ^{[3
]}

机构：

[1] Islamic Azad Univ, Dept Math, Arak Branch, Arak, Iran

[2] Shri Vaishnav Inst Technol & Sci, Dept Appl Math, Indore 453331, India

[3] Univ Belgrade, Fac Mech Engn, Beograd 11120, Serbia

来源：

FILOMAT | 2015年 / 29卷 / 06期

关键词：

Contraction mapping; Simulation function; Z-contraction; Fixed point; MAPPINGS; SPACES;

D O I：

10.2298/FIL1506189K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (X, d) be a metric space and T : X -> X be a mapping. In this work, we introduce the mapping zeta : [0, infinity) x [0, infinity) -> R, called the simulation function and the notion of Z-contraction with respect to zeta which generalize the Banach contraction principle and unify several known types of contractions involving the combination of d(Tx, Ty) and d(x, y) : The related fixed point theorems are also proved.

引用

页码：1189 / 1194

页数：6

共 9 条

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