A unified view on common fixed point theorems for Ciric quasi-contraction maps

作者：He, Fei^*; Nan, Xiao-Ya

来源：Fixed Point Theory and Applications, 2015, 2015(1): 112.

DOI：10.1186/s13663-015-0364-8

• common fixed point
• Ciric quasi-contraction
• dislocated quasi-metric spaces
• Q-function

The main purpose of this paper is to unify and to generalize some common fixed point results in metric spaces with a Q-or a w-distance) and the related results in dislocated metric spaces (also called metric-like spaces). First in the setting of dislocated quasi-metric spaces we introduce the notion of weak 0-sigma-completeness which is weaker than 0-sigma-completeness. By using the new type of completeness, we establish some common fixed point theorems for two self-mappings satisfying a nonlinear contractive condition of Ciric type. Our results unify and generalize many well-known common fixed point theorems. Finally, we give some further applications of our main results.

• 出版日期2015-7-11
• 单位内蒙古大学