References
- Kumar N, Chauhan (Gonder) SS. Analysis of Jungck–Mann and Jungck-Ishikawa iteration schemes for their speed of convergence. In: AIP Conf. Proc. Vol. 2050. 2018. p. 020011-6.
- Sahebi HR, Ebrahimi S. A convergence theorem in CAT (0) spaces. J Modern Math Stat. 2012;6(3–6):23–26.
- Maibed ZH. Some generalized n-Tuplet coincidence point theorems for non-Linear contraction mappings. J Engin Appl Sci. 2018;13(24):10375–10379.
- Das S, Ghoshal D. A comparative study on color image compression based on fractal geometrical topologies for partition iteration. Asian J Inform Technol. 2016;15(23):4719–4731.
- Hadi SH, Ali AH. A unique fixed k point using ξ-Fuzzy cone and fuzzy cone integrable functions. J Engin Appl Sci. 2019;14(10):3408–3412.
- Manikumari N, Murugappan A. Fuzzy logic based model for optimization of tank irrigation system. J Engin Appl Sci. 2008;3(2):199–202.
- Al-shameri WFH. Existence of the attractor of recurrent iterated function system. J Engin Appl Sci. 2019;14(1):182–187.
- Shahjahan Ali Md., RezaulKarim Md.. Studies on some fixed point theorems in terms of metric and Banach spaces. Asian J Inform Technol. 2005;4:1177–1179.
- Luaibi HH. Fixed point of set valued mapping. J Engin Appl Sci. 2018;13(14):10912–10916.
- Chauhan SS, Utreja K. Mohammad imdadand mdAhmadullah, strong convergence theorems for a quasi contractive scheme with an applications. Honam Math. 2017;1:1–25.
- Osilike MO. Stability results for Ishikawa fixed point iteration procedure. Indian J Pure Appl Math. 1995;26(10):937–341.
- Bosede AO, Rhoades BE. Stability of Picard and Mann iteration for a general class of functions. J Adv Math Soc. 2010;33(2):1–3.
- Picard E. Memoire sur la theorie des equations aux derives partielles et la methode des approximations successives. J Math Pures Appl. 1890;6:145–210.
- Mann WR. Mean value methods in iterations. Proc Amer Math Soc. 1953;4:506–510.
- Ishikawa S. Fixed points by a new iteration method. Proc Amer Math Soc. 1974;44:147–150.
- Thianwan S. Common fixed points of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space. J Comput Appl Math. 2009;224(2):688–695.
- Phuengrattana W, Suantai S. On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval. J Comput Appl Math. 2011;235(9):3006–3014.
- Karakaya V, Dogan K, Gursoy F, et al. Fixed point of a new three-step iteration algorithm under contractive-like operators over normed spaces. Abs Appl Anal. 2013;2013:9. Article ID 560258.
- Berinde V. Picard iteration converges faster than the Mann iteration for a class of quasi-contractive operators. Fixed Point Theory Appl. 2004;2004(2):97–105.
- Berinde V. On a notion of rapidity of convergence used in the study of fixed point iterative methods. Creat Math Inform. 2016;29-40: 25(1).
- Agarwal RP, O'Regan D, Sahu DR. Iterative construction of fixed points of nearly asymptotically non expansive mappings. J Nonlinear Convex Anal. 2007;8(1):6179–6189.
- Babu GVR, Vara Prasad KNVV. Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators. Fixed Point Theory Appl. 2006;2006. Article ID 49615.
- Mogbademu AA. Modified multi-step iterative methods for a family of p – strongly pseudocontractive maps. Bull Math Anal Appl. 2012;83–90.
- Berinde V. Iterative approximation of fixed points. Berlin: Springer; 2007.
- Mogbadem AA. Modified Noor iterative procedure for three asymptotically Pseudo contractive maps. Int J Open Probl Compt Math. 2013;6:95–102.
- Chang SS. Iterative approximation problem of fixed point for asymptotically nonexpansive mappings in Banach spaces. Acta Math Appl Sin. 2001;24:236–241.
- Olisama VO, Mogbademu AA, Olaleru JO. Modified multi-step iterative processes for a finite family of asymptotically pseudocontrative maps. Appl Math Sci. 2014;8(19):901–910.
- Popescu O. Picard iteration converges faster than Mann iteration of quasi-contractive operators. Math Commun. 2007;12(2):195–202.
- Kima TH, Xu HK. Stron, convergence of modified Mann iterations. Nonlinear Anal. 2005;61:51–60.
- Akewe H, Olaoluwa H. On the convergence of modified three-step iteration process for generalized contractive-like operators. Bull Math Anal Appl. 2012;4(3):78–86.
- Xiao J, Deng L, Yang M-G. Convergence of modified multi-step iterative for a finite family of asymptotically quasi -nonexpansive mappings. Commun Korean Math Soc. 2014;29(1):83–95.
- Fathollahi S, Ghiura A, Postolache M, et al. A comparative study on the convergence rate of some iteration methods involving contractive mappings. Fixed Point Theory Appl. 2015;2015:1–24.
- Bosede AO. Strong Convergence results for the Jungck–Mann iteration. 2010.
- Chidume CE. On the Ishikawa and Mann iteration methods for nonlinear quasi-contractive mappings. J Nigerian Math Soc. 1988;7:1–9.
- Yao YH, Chen R, Yao J-C. Strong convergence and certain control conditions for modified Mann iteration. Nonlinear Anal. 2008;68:1687–1693.
- Xue Z, Lv G. The convergence of the modified Mann and Ishikawa iterations in Banach spaces. J Inequal Appl. 2013;2013:188.
- Dogan K, Karakaya V. On the convergence and stability results for a new general iterative process. Sci World J. 2014;2014:8–Article ID 852475.
- Kadioglu N, Yildirim I. On the convergence of an iteration method for continuous mappings on an arbitrary interval. Fixed Point Theory Appl. 2013(2013:124);10.
- Karahan I, Ozdemir M. Fixed point problems of the Picard-Mann hybrid iterative process for continuous functions on an arbitrary interva. Fixed Point Theory Appl. 2013;2013(244):12.
- Kumar N, Chauhan (Gonder) SS. A review on the convergence speed in the Agarwal et al.and Modified-Agarwal iterative schemes. Univ Rev. 2018;7(10):163–167.
- Kumar N, Chauhan (Gonder) SS. Speed of convergence examined by exchange of coefficients involved in modified-Ishikawa iterative scheme In: Future aspects in engineering sciences and technology. Vol. 2. Chandigarh University; 2018. p. 440-447.
- Kumar N, Chauhan (Gonder) SS. Self-Comparison of convergence speed in Agarwal, O'Regan and DIFaddSahu's S-Iteration. Int J Emerg Technol. 2019;10(2b):105–108.
- Kumar N, Chauhan (Gonder) SS. Validation of theoretical results of some fixed point iterative procedures via numerical illustration. Test Engin Manage. 2020;83:15646–15659.
- Kumar N, Chauhan (Gonder) SS. Emphasis of coefficients on the convergence rate of fixed point iterative algorithm in Banach space. Adv Math Sci J. 2020;9(8):5621–5630.