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
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
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
  • [1] Fixed point results for {α,ξ}-expansive locally contractive mappings
    Jamshaid Ahmad
    Ahmed Saleh Al-Rawashdeh
    Akbar Azam
    Journal of Inequalities and Applications, 2014
  • [2] Some Fixed Point Results for (α, β)-(ψ, φ)-Contractive Mappings
    Alizadeh, Sattar
    Moradlou, Fridoun
    Salimi, Peyman
    FILOMAT, 2014, 28 (03) : 635 - 647
  • [3] On fixed point results for α*-ψ- dominated fuzzy contractive mappings with graph
    Rasham, Tahair
    Shahzad, Aqeel
    Marino, Giuseppe
    Shoaib, Abdullah
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (03) : 3093 - 3103
  • [4] Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure
    Rasham, Tahair
    Shoaib, Abdullah
    Alamri, Badriah A. S.
    Arshad, Muhammad
    JOURNAL OF MATHEMATICS, 2018, 2018
  • [5] Fixed point results for GP(Λ,Θ)-contractive mappings
    Parvaneh, Vahid
    Salimi, Peyman
    Vetro, Pasquale
    Nezhad, Akbar Dehghan
    Radenovic, Stojan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (03): : 150 - 159
  • [6] FIXED POINT RESULTS FOR LOCALLY HARDY ROGERS-TYPE CONTRACTIVE MAPPINGS FOR DISLOCATED CONE METRIC SPACE
    Rasham, Tahair
    Shoaib, Abdullah
    Arshad, Muhammad
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 10 (01): : 76 - 82
  • [7] Paired contractive mappings and fixed point results
    Chand, Deep
    Rohen, Yumnam
    AIMS MATHEMATICS, 2024, 9 (01): : 1959 - 1968
  • [8] SOME APPROXIMATE FIXED POINT RESULTS FOR GENERALIZED α-CONTRACTIVE MAPPINGS
    Miandaragh, M. A.
    Postolache, Mihai
    Rezapour, Sh.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2013, 75 (02): : 3 - 10
  • [9] 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
  • [10] Some fixed point theorems for (α, ψ)-rational type contractive mappings
    Alsulami, Hamed H.
    Chandok, Sumit
    Taoudi, Mohamed-Aziz
    Erhan, Inci M.
    FIXED POINT THEORY AND APPLICATIONS, 2015,