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On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme

Yunus Atalan [1]

31 73

The aim of this paper is to obtain results of the strong convergence, rate of convergence and data dependence for a new three step iterative scheme using contraction mappings and to give examples for the rate of convergence and data dependence results. After these numerical approachs, it can be seen that the new iterative scheme has a better rate of convergence with respect to the other iterative schemes in the literature. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.

A new iterative scheme, Strong convergence, Data Dependence, Contraction mappings
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Primary Language en Engineering Articles Orcid: 0000-0002-5912-7087Author: Yunus Atalan (Primary Author)Institution: AKSARAY UNIVERSITYCountry: Turkey Publication Date: April 15, 2019
 Bibtex @research article { konuralpjournalmath485883, journal = {Konuralp Journal of Mathematics (KJM)}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2019}, volume = {7}, pages = {97 - 106}, doi = {}, title = {On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme}, key = {cite}, author = {Atalan, Yunus} } APA Atalan, Y . (2019). On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme. Konuralp Journal of Mathematics (KJM), 7 (1), 97-106. Retrieved from http://dergipark.org.tr/konuralpjournalmath/issue/31492/485883 MLA Atalan, Y . "On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme". Konuralp Journal of Mathematics (KJM) 7 (2019): 97-106 Chicago Atalan, Y . "On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme". Konuralp Journal of Mathematics (KJM) 7 (2019): 97-106 RIS TY - JOUR T1 - On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme AU - Yunus Atalan Y1 - 2019 PY - 2019 N1 - DO - T2 - Konuralp Journal of Mathematics (KJM) JF - Journal JO - JOR SP - 97 EP - 106 VL - 7 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2019 ER - EndNote %0 Konuralp Journal of Mathematics (KJM) On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme %A Yunus Atalan %T On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme %D 2019 %J Konuralp Journal of Mathematics (KJM) %P -2147-625X %V 7 %N 1 %R %U ISNAD Atalan, Yunus . "On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme". Konuralp Journal of Mathematics (KJM) 7 / 1 (April 2019): 97-106. AMA Atalan Y . On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme. Konuralp J. Math.. 2019; 7(1): 97-106. Vancouver Atalan Y . On Numerical Approach to The Rate of Convergence and Data Dependence Results for a New Iterative Scheme. Konuralp Journal of Mathematics (KJM). 2019; 7(1): 106-97.