Approximation of Soft Fixed Points Using Multiplicative Analog of Zamfirescu Operators
Keywords:
47H10, 47H09
Abstract
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]
References
[1] 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
[2] V. Berinde, Iterative approximation of fixed points, Springer-Verlag Berlin Heidelberg 2007, p.13
[3] 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
[4] 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
nonself-mappings in a Banach space, J.Comput Appl. Math. 224(2009), 688-695
[2] V. Berinde, Iterative approximation of fixed points, Springer-Verlag Berlin Heidelberg 2007, p.13
[3] 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
[4] 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
Published
2018-10-31
Section
Articles
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