Fixed point results for single and set-valued α-η-ψ-contractive mappings

被引：66

作者：

Hussain, Nawab ^{[1
]}

Salimi, Peyman ^{[2
]}

Latif, Abdul ^{[1
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[2] Islamic Azad Univ, Rasht Branch, Young Researchers & Elite Club, Rasht, Iran

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

modified Meir-Keeler-type contractions; triangular alpha-admissible map; alpha-eta-psi-contractive map; metric space;

D O I：

10.1186/1687-1812-2013-212

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Samet et al. (Nonlinear Anal. 75:2154-2165, 2012) introduced alpha-psi-contractive mappings and proved some fixed point results for these mappings. More recently Salimi et al. (Fixed Point Theory Appl. 2013:151, 2013) modified the notion of alpha-psi-contractive mappings and established certain fixed point theorems. Here, we continue to utilize these modified notions for single-valued Geraghty and Meir-Keeler-type contractions, as well as multi-valued contractive mappings. Presented theorems provide main results of Hussain et al. (J. Inequal. Appl. 2013:114, 2013), Karapinar et al. (Fixed Point Theory Appl. 2013:34, 2013) and Asl et al. (Fixed Point Theory Appl. 2012:212, 2012) as corollaries. Moreover, some examples are given here to illustrate the usability of the obtained results. MSC: 46N40, 47H10, 54H25, 46T99.

引用

页数：23

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