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

被引：58
|
作者：
Abdeljawad, Thabet [1 ]
机构：
[1] Cankaya Univ, Math & Comp Sci Dept, TR-06810 Ankara, Turkey
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
orbitally complete metric space; common fixed point; Meir-Keeler alpha-contractive; alpha-admissible mapping; coupled fixed point; PARTIAL METRIC-SPACES; MAPPINGS;
D O I：
10.1186/1687-1812-2013-19
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：10
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