Common fixed point theorems for weakly increasing mappings on ordered orbitally complete metric spaces

Fixexd point theory and applications

Hui-Sheng Ding¹  Hemant Kumar Nashine³  Zoran Kadelburg⁴ 

[1] College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, People'Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur, India;Faculty of Mathematics, University of Belgrade, Beograd, Serbia;s Republic of China

关键词: Partially ordered set;    asymptotically regular map;    orbitally complete metric space;    orbital continuity;    weakly increasing maps;   

DOI  :  10.1186/1687-1812-2012-85

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we prove existence results for common fixed points of two or three relatively asymptotically regular mappings satisfying the orbital continuity of one of the involved maps on ordered orbitally complete metric spaces. We furnish suitable examples to demonstrate the validity of the hypotheses of our results. Mathematics Subject Classification (2010): 47H10; 54H25.

【 授权许可】

CC BY