Common fixed point under contractive condition of Ćirić’s type on cone metric type spaces

Fixexd point theory and applications

¹  Marija P Stanić¹  Aleksandar S Cvetković¹ 

[1] Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Kragujevac, Serbia;Department of Mathematics, Faculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia

关键词: cone metric type space;    solid cone;    coincidence point;    point of coincidence;    common fixed point;   

DOI  :  10.1186/1687-1812-2012-35

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this article is to generalize common fixed point theorems under contractive condition of Ćirić’s type on a cone metric type space. We give basic facts about cone metric type spaces, and we prove common fixed point theorems under contractive condition of Ćirić’s type on a cone metric type space without assumption of normality for cone. As special cases we get the corresponding fixed point theorems on a cone metric space with respect to a solid cone. Obtained results in this article extend, generalize, and improve, well-known comparable results in the literature. 2000 Mathematics Subject Classification: 47H10; 54H25; 55M20.

【 授权许可】

CC BY