Some Convergence and Stability Results for Two New Kirk Type Hybrid Fixed Point Iterative Algorithms

被引:9
|
作者
Gursoy, Faik [1 ]
Karakaya, Vatan [2 ]
机构
[1] Yildiz Tech Univ, Dept Math, TR-34220 Istanbul, Turkey
[2] Yildiz Tech Univ, Dept Engn Math, TR-34210 Istanbul, Turkey
关键词
CONTRACTIVE TYPE MAPPINGS; THEOREMS; APPROXIMATION;
D O I
10.1155/2014/684191
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce Kirk-multistep-SP and Kirk-S iterative algorithms and we prove some convergence and stability results for these iterative algorithms. Since these iterative algorithms are more general than some other iterative algorithms in the existing literature, our results generalize and unify some other results in the literature.
引用
下载
收藏
页数:8
相关论文
共 50 条
  • [41] Common fixed point results for two new classes of hybrid pairs in symmetric spaces
    Hussain, N.
    Abbas, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (02) : 542 - 547
  • [42] Some Convergence Properties of Two Iterative Algorithms for Discrete Periodic Lyapunov Equations
    Chen, Zebin
    Chen, Xuesong
    Sun, Hui-Jie
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (11) : 6751 - 6757
  • [43] Stability Results and Reckoning Fixed Point Approaches by a Faster Iterative Method with an Application
    Hammad, Hasanen A.
    Kattan, Doha A.
    AXIOMS, 2023, 12 (07)
  • [44] Some convergence results for iterative sequences of Prešić type and applications
    Mohammad Saeed Khan
    Maher Berzig
    Bessem Samet
    Advances in Difference Equations, 2012
  • [45] Stability of k-step fixed point iterative methods for some Prešić type contractive mappings
    Vasile Berinde
    Mădălina Păcurar
    Journal of Inequalities and Applications, 2014
  • [46] Some New Fuzzy Fixed Point Results with Applications
    Al-Mezel, Saleh Abdullah
    Ahmad, Jamshaid
    De La Sen, Manuel
    MATHEMATICS, 2020, 8 (06)
  • [47] Some New Weakly Contractive Type Multimaps and Fixed Point Results in Metric Spaces
    Abdul Latif
    Afrah A. N. Abdou
    Fixed Point Theory and Applications, 2009
  • [48] Some New Weakly Contractive Type Multimaps and Fixed Point Results in Metric Spaces
    Latif, Abdul
    Abdou, Afrah A. N.
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [49] Some new common coupled fixed point results in two generalized metric spaces
    Gu, Feng
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [50] Some new common coupled fixed point results in two generalized metric spaces
    Feng Gu
    Fixed Point Theory and Applications, 2013