Some Fixed Point Results for (α, β)-(ψ, φ)-Contractive Mappings

被引：49
|
作者：
Alizadeh, Sattar [1 ]
Moradlou, Fridoun [2 ]
Salimi, Peyman [3 ]
机构：
[1] Islamic Azad Univ, Dept Math, Marand Branch, Marand, Iran
[2] Sahand Univ Technol, Dept Math, Tabriz, Iran
[3] Islamic Azad Univ, Young Researchers & Elite Club, Rasht, Iran
来源：
FILOMAT | 2014年 / 28卷 / 03期
关键词：
(alpha; beta)-(psi; phi)-contractive mapping; fixed point; cyclic contractive mapping; cyclic; beta)-admissible mapping; integral equations; CONTRACTIVE MAPPINGS; ALPHA; THEOREMS; (PSI;
D O I：
10.2298/FIL1403635A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notions of cyclic (alpha, beta)-admissible mappings, (alpha, beta)-(psi, phi)-contractive and weak alpha - beta - psi- rational contraction mappings via cyclic (alpha, beta)-admissible mappings. We prove some new fixed point results for such mappings in the setting of complete metric spaces. The obtained results generalize, unify and modify some recent theorems in the literature. Some examples and an application to integral equations are given here to illustrate the usability of the obtained results.
引用
收藏
页码：635 / 647
页数：13
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