Common fixed points of a generalized ordered g -quasicontraction in partially ordered metric spaces

Fixexd point theory and applications

Xiaolan Liu¹  Siniš² 

[1] Department of Mathematics, Sichuan Normal University, Chengdu, China;School of Science, Sichuan University of Science and Engineering, Zigong, China

关键词: G-nondecreasing;    generalized ordered g-quasicontraction;    coincidence point;    common fixed point;    comparable mappings;   

DOI  :  10.1186/1687-1812-2013-53

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The concept of a generalized ordered g-quasicontraction is introduced, and some fixed and common fixed point theorems for a g-nondecreasing generalized ordered g-quasicontraction mapping in partially ordered complete metric spaces are proved. We also show the uniqueness of the common fixed point in the case of a generalized ordered g-quasicontraction mapping. Finally, we prove fixed point theorems for mappings satisfying the so-called weak contractive conditions in the setting of a partially ordered metric space. Presented theorems are generalizations of very recent fixed point theorems due to Golubović et al. (Fixed Point Theory Appl. 2012:20, 2012). MSC:47H10, 47N10.

【 授权许可】

CC BY