Fixed point theorems for generalized α-η-ψ-Geraghty contraction type mappings in α-η-complete metric spaces

被引：12
|
作者：
Chuadchawna, Preeyaluk [1 ]
Kaewcharoen, Anchalee [1 ]
Plubtieng, Somyot [1 ]
机构：
[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 02期
关键词：
alpha-eta-complete metric spaces; alpha-eta-continuous mappings; triangular alpha-orbital admissible mappings; generalized alpha-eta-psi-Geraghty contraction type mappings;
D O I：
10.22436/jnsa.009.02.13
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the concept of generalized alpha-eta-psi-Geraghty contraction type mappings and prove the unique fixed point theorems for such mappings in alpha-eta-complete metric spaces without assuming the subadditivity of psi. We also give an example for supporting the result and present an application using our main result to obtain a solution of the integral equation. (C) 2016 All rights reserved.
引用
收藏
页码：471 / 485
页数：15
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