Fixed point theorems under Hardy-Rogers contractive conditions on 0-complete ordered partial metric spaces

Fixexd point theory and applications

Hemant Kumar Nashine^{1  2}  Zoran Kadelburg³  Stojan Radenović⁴ 

[1] Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Raipur, India;Department of Mathematics, Kyungnam University Masan, Kyungnam, Korea;Faculty of Mathematics, University of Belgrade, Beograd, Serbia;Faculty of Mechanical Engineering, University of Belgrade, Beograd, Serbia

关键词: common fixed point;    partial metric space;    Hardy-Rogers contractive condition;    weakly increasing maps;    weakly isotone increasing maps;   

DOI  :  10.1186/1687-1812-2012-180

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A fixed point theorem is obtained for a monotone self-map in a 0-complete ordered partial metric space under Hardy-Rogers-type contractive condition. This result improves some recently obtained ones, in the sense that weaker conditions are used. An example shows how this result can be used when the corresponding result in standard metric cannot. The second theorem is concerned with two weakly isotone increasing self-mappings in ordered partial metric spaces. A common fixed point result is obtained without any commutativity or compatibility assumptions. MSC:47H10, 54H25.

【 授权许可】

CC BY