A study in the fixed point theory for a new iterative scheme and a class of generalized mappings


Dogan, Kadri and Karakaya, Vatan


Abstract

creative_2018_27_2_151_160_abstract

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creative_2018_27_2_151_160

In this study, we introduce a new iteration scheme and prove the strong
convergence result for this iteration method. We also compare the rate of
convergence with the iterative scheme and the fixed point iteration scheme
known as Picard-S due to Gursoy. Then we prove that this new iteration
method is equivalent to convergence of the iteration schemes given in the
introduction section of the manuscript. Moreover, we show the result of its
data dependency.

 

 

 

 

 

 

Additional Information

Author(s)

Karakaya, Vatan, Dogan, Kadri