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.
引用
收藏
页数：10
相关论文
共 22 条
  • [1] Banach contraction principle for cyclical mappings on partial metric spaces
    Abdeljawad, T.
    Alzabut, J. O.
    Mukheimer, A.
    Zaidan, Y.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [2] Existence and uniqueness of a common fixed point on partial metric spaces
    Abdeljawad, T.
    Karapinar, E.
    Tas, K.
    [J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (11) : 1900 - 1904
  • [3] Abdeljawad T, 2011, J COMPUT ANAL APPL, V13, P622
  • [4] Coupled fixed point theorems for partially contractive mappings
    Abdeljawad, Thabet
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 11
  • [5] Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces
    Abdeljawad, Thabet
    Aydi, Hassen
    Karapinar, Erdal
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [6] Fixed points for generalized weakly contractive mappings in partial metric spaces
    Abdeljawad, Thabet
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (11-12) : 2923 - 2927
  • [7] Abdeljawad T, 2011, HACET J MATH STAT, V40, P211
  • [8] Coupled and tripled fixed point theory in partially ordered metric spaces with application to initial value problem
    Amini-Harandi, A.
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (9-10) : 2343 - 2348
  • [9] On fixed points of α-ψ-contractive multifunctions
    Asl, J. Hasanzade
    Rezapour, S.
    Shahzad, N.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 6
  • [10] New Meir-Keeler Type Tripled Fixed-Point Theorems on Ordered Partial Metric Spaces
    Aydi, Hassen
    Karapinar, Erdal
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
123