The convergence of new iterations by resolvent ZA-Jungck mappings
*Alaa MohsenCorresponding authorAlaa.Mohsen1203a@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, IraqView full profile → , Zena Hussein Maibedmrs_zena.hussein@yahoo.comDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, IraqView full profile →
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- Received:
- 01 Jan 2022
- Published Online:
- 15 Jun 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1462
- Pages:
- 579–584
Abstract
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References
[1] M. Olatinwo, and C. Imoru, Some Convergence Result for The Jungck-Mann and Jungck-Ishikawa Iteration Process in The Class of Generalized Zamrescu Operators. Acta Math. Univ. Comenianae, 77, 2, 299-304 (2008).
[2] J. Daengsaen and A. Khemphet, On the Rate of Convergence of P-Iteration, SP-Iteration, and D-Iteration Methods for Continuous Nondecreasing Functions on Closed Intervals, Hindawi Abstr. Appl. Anal., pp. 6 (2018).
[3] K. Ullah and A. Muhammad, New Three-step Iteration Process and Fixed-Point Approximation in Banach Spaces, Linear Topol. Algebra. Vol. 07, No. 02, pp. 87–100 (2018).
[4] S. Rathee and M. Swami., Convergence Rate of Various Iterations with SM-Iteration For Continuous Functi Savita Ratheel. J. Math. Comput. Sci. 10, No. 6, pp. 3074-3089 (2020).
[5] Z. Jamil and B. Abed, On A Modified SP-Iterative Scheme for Approximating Fixed Point of a Contraction Mapping, Iraqi Journal of Science, Vol 56, No. 4B, pp: 3230-3239 (June 2015).
[6] V.Berinde, Picard Algorithm Converges Faster Than Mann Algorithm For a Class of Quasi-Contractive Operators Fixed Point Theory and Applications, PP. 97–105, 2 (2004).
[7] D. Shukla and V. Tiwari, Fixed Point Algorithms Using Iteration Technique, Journal of Interdisciplinary Mathematics, Vol. 22, Issue 4 (2019).
[8] Z. Maibed and A. Thajil, Equivalence of Some Iterations For Class of Quasi Contractive Mappings, J. Phys. Conf. Ser., 1879 022115 (2021).
[9] V. Çetkin, Partial soft Metric Spaces: Convergence, Journal of Interdisciplinary Mathematics, 22, 881-892 (2022).
[10] R. Agarwal, D. O’Regan, and D.Sahu, Fixed Point Theory For Lipschitzian-type Mappings with Applications. New York. Springer, Vol. 6 (2009).
