Otwarty dostęp

Stability and convergence of Jungck-modified three-step iteration scheme using contractive condition

   | 24 lis 2023

Zacytuj

V. Berinde, On the convergence of the Ishikawa iteration in the class of quasi-contractive operators, Acta Mathematica Universitatis Comenianae, vol. 73, no. 1, 2004, 119-126. Search in Google Scholar

N. Hussain, V. Kumar, M. A. Kutbi, On rate of convergence of Jungck-type iterative schemes, Abstract and Applied Analysis Article ID 132626, 2013. Search in Google Scholar

I. Ishikawa, Fixed point by a new iteration method, Proc. Amer. Math. Soc., 44, 1974, 147-150. Search in Google Scholar

G. Jungck, Commuting mappings and fixed points, The American Mathematical Monthly, vol. 83, no. 4, 1976, 261-263. Search in Google Scholar

A. R. Khan, F. Gursoy, V. Kumar, Stabilitiy and data dependence results for the Jungck-Khan iteration process, Turk J. Math., 40, 2016, 631-640. Search in Google Scholar

W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc., 4, 1953, 506-510. Search in Google Scholar

M. A. Noor, New approximation schemes for general variational inequalities, J. Math. Analy. Appl., 251, 2000, 217-229. Search in Google Scholar

M. O. Olatinwo, Some stability and strong convergence results for the Jungck-Ishikawa iteration process, Creative Math. and Inf., 17, 2008, 33-42. Search in Google Scholar

M. O. Olatinwo, A generalization of some convergence results using a Jungck-Noor three-step iteration process in arbitrary Banach space, Fasciculi Mathematici, no. 40, 2008, 37-43. Search in Google Scholar

S. L. Singh, C. Bhatnagar, S. N. Mishra, Stability of Jungck-type iterative procedures, Int. J. Math. Sci., 19, 2005, 3035-3043. Search in Google Scholar

S. M. Soltuz, D. Otrocol, Classical results via Mann-Ishikawa iteration, Revue d’Analyse Numerique de l’Approximation, vol. 36, no. 2, 2007, 195-199. Search in Google Scholar

I. Timis, On the weak stability of Picard iteration for some contractive type mappings and coincidence theorems, International Journal of Computer Applications, vol. 37, no. 4, 2012, 9-13. Search in Google Scholar