• Author/Authors

    atalan, yunus aksaray university - faculty of science and arts - department of mathematics, aksaray, turkey , karakaya, vatan yildiz technical universi - faculty of chemical and metallurgical engineering - department of mathematical engineering, istanbul, turkey

  • Title Of Article

    Obtaining New Fixed Point Theorems By Using Generalized Banach-Contraction Principle

  • شماره ركورد
    44885
  • Abstract
    In this study, a new three step iterative algorithm was introduced with the help of Jungck-contraction principle which is one of the remerkable generalizations of Banach-contraction principle. Also, the convergence and stability results were obtained for the pair of nonself mappings which satisfy a certain contractive condition by using this iterative algorithm in any Banach space. In addition, it was shown that the new iterative algorithm has a better convergence speed when compared the other Jungck-type iterative algorithms in the current literature, and to support this result, numerical examples were given.
  • From Page
    34
  • NaturalLanguageKeyword
    Jungck , Contraction Principle , New Iterative Algorithm , Convergence , Stability
  • JournalTitle
    Erciyes University Journal Of The Institute Of Science an‎d Technology
  • To Page
    45
  • JournalTitle
    Erciyes University Journal Of The Institute Of Science an‎d Technology