Common fixed-point results for nonlinear contractions in ordered partial metric spaces

Fixexd point theory and applications

Miloje Rajović¹  Rade Lazović^{2  3}  Rade Stojiljković⁴  Bessem Samet⁵ 

[1] de Tunis, Ecole SupéFaculty of Mechanical Engineering, Kraljevo, Serbia;Faculty of Organizational Science, Belgrade, Serbia;High School for Preschool Pedagogues Gnjilane, Bujanovac, Serbia;Universitérieure des Sciences et Techniques de Tunis, Bab Menara, Tunisia

关键词: partial metric;    ordered set;    common fixed point;    coincidence point;    partial compatible;   

DOI  :  10.1186/1687-1812-2011-71

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a new class of a pair of generalized nonlinear contractions on partially ordered partial metric spaces is introduced, and some coincidence and common fixed-point theorems for these contractions are proved. Presented theorems are twofold generalizations of very recent fixed-point theorems of Altun and Erduran (Fixed Point Theory Appl 2011(Article ID 508730):10, 2011), Altun et al. (Topol Appl 157(18):2778-2785, 2010), Matthews (Proceedings of the 8th summer conference on general topology and applications, New York Academy of Sciences, New York, pp. 183-197, 1994) and many other known corresponding theorems. 2000 Mathematics Subject Classifications: 54H25; 47H10.

【 授权许可】

CC BY