Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like Spaces

被引:14
|
作者
Al-Mezel, Saleh A. [1 ]
Chen, Chi-Ming [2 ]
Karapinar, Erdal [1 ,3 ]
Rakocevic, Vladimir [4 ]
机构
[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21491, Saudi Arabia
[2] Natl Hsinchu Univ Educ, Dept Appl Math, Hsinchu, Taiwan
[3] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
[4] Univ Nis, Fac Sci & Math, Nish 18000, Serbia
关键词
THEOREM; PRINCIPLE;
D O I
10.1155/2014/379358
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish some fixed point theorems for alpha-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type alpha-phi-contractive self-mapping.. defined on a metric- like space X. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.
引用
收藏
页数:15
相关论文
共 50 条
  • [41] SUZUKI-TYPE FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIVE MAPPINGS THAT CHARACTERIZE METRIC COMPLETENESS
    Abtahi, M.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (04): : 931 - 943
  • [42] EXISTENCE OF METRIC FIXED POINTS FOR GENERALIZED CONTRACTIVE TYPE MAPPINGS
    Latif, Abdul
    Bin Dehaish, Buthinah A.
    Al Rwaily, Asma
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2019, 20 (08) : 1561 - 1575
  • [43] α-ψ-φ-contractive mappings in ordered partial b-metric spaces
    Mukheimer, Aiman
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (03): : 168 - 179
  • [44] Coupled fixed point theorems for partially contractive mappings
    Abdeljawad, Thabet
    FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 11
  • [45] COMMON FIXED POINT OF SUBCOMPATIBLE MAPPINGS AND BEST APPROXIMATIONS IN CONVEX METRIC SPACES
    Rouzkard, Fayyaz
    Nashine, Hemant Kumar
    Imdad, Mohammad
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2014, 15 (06) : 1147 - 1166
  • [46] Fixed Point Results for Almost Generalized Cyclic (ψ, φ)-Weak Contractive Type Mappings with Applications
    Jleli, Mohamed
    Karapinar, Erdal
    Samet, Bessem
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [47] Common fixed point and invariant approximations for subcompatible mappings in convex metric spaces
    Nashine, Hemant Kumar
    Imdad, Mohammad
    MATHEMATICAL COMMUNICATIONS, 2011, 16 (01) : 1 - 12
  • [48] Recent Fixed-Point Results for θ-Contraction Mappings in Rectangular M-Metric Spaces with Supportive Application
    Mudhesh, Mustafa
    Hammad, Hasanen A.
    Alsamir, Habes
    Arshad, Muhammad
    Ameer, Eskandar
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [49] PARTIAL S-METRIC SPACES AND FIXED POINT RESULTS
    Asil, Maryam Simkhah
    Sedghi, Shaban
    Lee, Jung Rye
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2022, 29 (04): : 401 - 419
  • [50] Kantorovich's Fixed Point Theorem and Coincidence Point Theorems for Mappings in Vector Metric Spaces
    Arutyunov, Aram, V
    Zhukovskiy, Evgeny S.
    Zhukovskiy, Sergey E.
    Zhukovskaya, Zukhra T.
    SET-VALUED AND VARIATIONAL ANALYSIS, 2022, 30 (02) : 397 - 423