Fixed point results for {α, ξ}-expansive locally contractive mappings

被引:25
|
作者
Ahmad, Jamshaid [1 ]
Al-Rawashdeh, Ahmed Saleh [2 ]
Azam, Akbar [1 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan
[2] UAE Univ, Dept Math Sci, Al Ain 15551, U Arab Emirates
关键词
expansive mapping; alpha-admissible; fixed point; closed ball; METRIC-SPACES; THEOREMS; PSI;
D O I
10.1186/1029-242X-2014-364
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We recall the concepts of {alpha, xi}-contractive and alpha-admissible mappings on complete metric spaces to state related fixed point theorems. In this paper, we obtain some fixed point results for {alpha, xi}-expansive locally contractive mappings in complete metric spaces. The contractiveness of the mapping is only on a closed ball instead of the whole space. Our results unify, generalize, and complement various well-known comparable results in the literature.
引用
收藏
页数:10
相关论文
共 50 条
  • [11] METRIC FIXED POINT RESULTS FOR GENERALIZED CONTRACTIVE MAPPINGS AND APPLICATIONS
    Latif, Abdul
    Bin Dehaish, Buthinah A.
    Al Rwaily, Asma
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (12) : 2177 - 2188
  • [12] Fixed point results for (αψ,βφ)-contractive mappings for a generalized altering distance
    Maher Berzig
    Erdal Karapınar
    Fixed Point Theory and Applications, 2013
  • [13] FIXED POINT RESULTS FOR α-ψ-CONTRACTIVE MAPPINGS IN BIPOLAR METRIC SPACES
    Gurdal, Utku
    Mutlu, Ali
    Ozkan, Kubra
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2020, 11 (01): : 64 - 75
  • [14] TWO FIXED POINT RESULTS FOR A CLASS OF MAPPINGS OF CONTRACTIVE TYPE
    Zaslavski, Alexander J.
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2018, 2 (01): : 113 - 119
  • [15] Fixed point results for -contractive mappings for a generalized altering distance
    Berzig, Maher
    Karapinar, Erdal
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [16] Stability Results for Fixed Point Sets of α* - ψ Contractive Multivalued Mappings
    Choudhury, Binayak S.
    Bandyopadhyay, Chaitali
    Pant, Rajendra
    FILOMAT, 2017, 31 (12) : 3665 - 3670
  • [17] FIXED POINT AND WELL-POSEDNESS PROPERTIES OF UNIFORMLY LOCALLY CONTRACTIVE MAPPINGS
    Reich, Simon
    Zaslavski, Alexander J.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (12) : 2543 - 2550
  • [18] Some Fixed Point Results for TAC-Type Contractive Mappings
    Chandok, Sumit
    Tas, Kenan
    Ansari, Arslan Hojat
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [19] SOME FIXED POINT RESULTS FOR TAC-SUZUKI CONTRACTIVE MAPPINGS
    Mebawondu, Akindele A.
    Mewomo, Oluwatosin T.
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (04): : 1201 - 1222
  • [20] Some φ-Fixed Point Results for (F,φ,α-ψ)-Contractive Type Mappings with Applications
    Imdad, Mohammad
    Khan, Abdur Rauf
    Saleh, Hayel N.
    Alfaqih, Waleed M.
    MATHEMATICS, 2019, 7 (02)