Meir-Keeler alpha-contractive fixed and common fixed point theorems

作者：Abdeljawad Thabet^*

来源：Fixed Point Theory and Applications, 2013, 2013(1): 19.

DOI：10.1186/1687-1812-2013-19

• orbitally complete metric space
• common fixed point
• Meir-Keeler alpha-contractive
• alpha-admissible mapping
• coupled fixed point

Generalized Meir-Keeler alpha-contractive functions and pairs are introduced and their fixed and common fixed point theorems are obtained. Also, the so-called generalized Meir-Keeler alpha-f-contractive maps commuting with f are introduced and their coincidence and common fixed point theorems are investigated. New sufficient conditions different from those in (Samet et al. in Nonlinear Anal. 75:2154-2165, 2012) are used. An application to the coupled fixed point is established as well. An example is given to show that the alpha-Meir-Keeler generalization is real.
AMS Subject Classification: 47H10, 54H25.

• 出版日期2013