Approximation of Soft Fixed Points Using Multiplicative Analog of Zamfirescu Operators
In this paper we introduce an iterative soft sequence to establish a convergence theorem to
approximate soft fixed points of multiplicative Zamfirescu operators. The real counterpart of this
iterative soft sequence gives the generalized Mann iteration scheme. We also introduce a new two step
iterative soft scheme to approximate common soft fixed points for two asymptotically nonself mappings
in multiplicative soft analog of Banach spaces. The real counterpart of this new two step iterative soft
scheme gives the two step iteration scheme introduced by Thianwan [S. Thianwan, Common fixed points
of the new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space,
J.Comput Appl. Math. 224(2009), 688-695]
nonself-mappings in a Banach space, J.Comput Appl. Math. 224(2009), 688-695
 V. Berinde, Iterative approximation of fixed points, Springer-Verlag Berlin Heidelberg 2007, p.13
 V. Berinde, On the convergence theorem for Mann iteration in the class of Zamfirescu operators,
Analele Universitatii de Vest. Timisoara Seria Matematica-infomatic XLV.1(2007), 33-41
 I. Yildirim, M.Ozdemir, H.Kiiziltunc, On convergence of a new step iteration in the class of Quasi
contractive operators. Int. Journal of Math.Analysis. 3(2009), 1881-1892
- All contributor(s) agree to transfer the copyright of this article to IOJPH Journal.
- IOJPH Journal will have all the rights to distribute, share, sell, modify this research article with proper reference of the contributors.
- IOJPH Journal will have the right to edit or completely remove the published article on any misconduct happening.