Some fixed point theorems for (α, θ, k)-contractive multi-valued mappings with some applications

被引:0
|
作者
Pansuwan, Adoon [1 ]
Sintunavarat, Wutiphol [1 ]
Parvaneh, Vahid [2 ]
Cho, Yeol Je [3 ,4 ,5 ]
机构
[1] Thammasat Univ, Fac Sci & Technol, Dept Math & Stat, Rangsit Ctr, Pathum Thani 12121, Thailand
[2] Islamic Azad Univ, Gilan E Gharb Branch, Dept Math, Gilan E Gharb, Iran
[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[4] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[5] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
基金
新加坡国家研究基金会;
关键词
alpha-admissible multi-valued mapping; alpha-complete metric spaces; alpha-continuous function; METRIC SPACE; PSI;
D O I
10.1186/s13663-015-0385-3
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 (alpha, theta, k)-contraction multi-valued mappings and establish some fixed point results for such mappings by using some control functions due to Jleli et al. (J. Inequal. Appl. 2014:439, 2014) in metric spaces and furnish some interesting examples to illustrate our main results. Also, we give some fixed point results in metric spaces endowed with a graph. Our results generalize and extend recent results given by some authors.
引用
收藏
页数:11
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