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

Dogan, Kadri and Karakaya, Vatan



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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.







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Karakaya, Vatan, Dogan, Kadri