Fixed point theorems for α -Geraghty contraction type maps in metric spaces

Fixexd point theory and applications

Erdal Karapı¹  Seong-Hoon Cho²  Jong-Sook Bae³ 

[1] Department of Mathematics, Atilim University, Ankara, Turkey;Department of Mathematics, Hanseo University, Chungnam;Department of Mathematics, Moyngji University, Yongin, South Korea

关键词: fixed point;    contraction type mapping;    α-Geraghty contraction type map;    metric space;   

DOI  :  10.1186/1687-1812-2013-329

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce a notion of α-Geraghty contraction type maps in the setting of a metric space. We also establish some fixed point theorems for such maps and give an example to illustrate our results. Finally, we discuss the application of our main results in the research fields of ordinary differential equations. MSC:47H10, 54H25.

【 授权许可】

CC BY