On different results for new three step iteration process in CAT(0) space

References

• Abbas, M. and Nazir, T. (2014). A new faster iteration process applied to constrained minimization and feasibility problems. Mat. Vesn., 66, 223–234.
   Google Scholar
• Agarwal, R. P., O’Regan, D. and Sahu, D. R. (2007). Iterative construction of fixed points of nearly asymptotically nonexpansive mappings. J. Nonlinear Convex Anal., 8, 61–79.
   Web of Science ®Google Scholar
• Bridson, M. R. and Haefliger, A. (1999). Metric spaces of non-positive curvature. Grundlehren der Mathematischen Wissenschaften, 319, Springer, Berlin.
   Google Scholar
• Chugh, R., Kumar, V. and Kumar, S. (2012). Strong Convergence of a new three step iterative scheme in Banach spaces. Amer. J. Comp. Math., 2, 345–357. doi: 10.4236/ajcm.2012.24048
   Google Scholar
• Gursoy, F. and Karakaya, V. (2014). A Picard-S hybrid type iteration method for solving a differential equation with retarded argument, arXiv:1403.2546v2.
   Google Scholar
• Hussain, N., Ullah, K. and Arshad, M. (2018). Fixed point approximation for Suzuki generalized nonexpansive mappings via new iteration process. arXiv:1802.09888v1.
   Google Scholar
• Ishikawa, S. (1974). Fixed points by a new iteration method. Proc. Am. Math. Soc., 44, 147–150. doi: 10.1090/S0002-9939-1974-0336469-5
   Web of Science ®Google Scholar
• Karahan, I. and Ozdemir, M. (2013). A general iterative method for approximation of fixed points and their applications. Adv. Fixed. Point. Theor., 3(3), 510–526.
   Google Scholar
• Khan, S. H. (2013). A Picard-Mann hybrid iterative process. Fixed Point Theory Appl., 2013(69). doi: 10.1186/1687-1812-2013-69
   Google Scholar
• Khan, S.H. and Yildirim, I. (2012). Fixed points of multivalued nonexpansive mappings in Banach spaces. Fixed Point Theory and Applications, 2012(73). doi: 10.1186/1687-1812-2012-73
   Web of Science ®Google Scholar
• Mann, W.R. (1953). Mean value methods in Iteration. Proc. Am. Math. Soc., 4, 506–510. doi: 10.1090/S0002-9939-1953-0054846-3
   Web of Science ®Google Scholar
• Noor, M. A. (2000). New approximation schemes for general variational inequalities. J. Math. Anal. Appl., 251, 217–229. doi: 10.1006/jmaa.2000.7042
   Web of Science ®Google Scholar
• Panwar, A. and Reena, (2019). Approximation of fixed points of a multivalued r -quasi-nonexpansive mapping for newly defined hybrid iterative scheme. Journal of Interdisciplinary Mathematics, 22(4), 593–607. doi: 10.1080/09720502.2019.1651013
   Web of Science ®Google Scholar
• Phuengrattana, W. and Suantai, S. (2011). On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval. J. Comp. Appl. Math., 235, 3006–3014. doi: 10.1016/j.cam.2010.12.022
   Web of Science ®Google Scholar
• Sahu, D. R. and Petrusel, A. (2011). Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces. Nonlinear Anal., 74, 6012–6023. doi: 10.1016/j.na.2011.05.078
   Web of Science ®Google Scholar
• Senter, H.F. and Dotson, W.G. (1974). Approximating fixed points of nonexpansive mappings. Proc. Am. Math. Soc., 44(2), 375–380. doi: 10.1090/S0002-9939-1974-0346608-8
   Web of Science ®Google Scholar
• Suzuki, T. (2008). Fixed points theorems and convergence theorems for some generalized nonexpansive mappings. J. Math. Anal. Appl., 340, 1088–1095. doi: 10.1016/j.jmaa.2007.09.023
   Web of Science ®Google Scholar
• Thakur, B.S., Thakur, D. and Postolache, M. (2016). A new iterative scheme for numerical reckoning fixed points of Suzuki’s generalized nonexpansive mappings. Appl. Math. Comp., 275, 147–155. doi: 10.1016/j.amc.2015.11.065
   Web of Science ®Google Scholar
• Ullah, K. and Arshad, M. (2018). Numerical reckoning fixed points for Suzuki’s generalized nonexpansive mappings via new iteration process. Filomat, 32(1), 187–196. doi: 10.2298/FIL1801187U
   Web of Science ®Google Scholar
• Ullah, K., Iqbal, K. and Arshad, M. (2018). Some convergence results using K iteration in CAT(0) spaces. Fixed Point Theory and Applications, 2018(11). doi: 10.1186/s13663-018-0637-0
   Google Scholar
• Witthayarat, U., Wattanawitoon, K. and Kumam, P. (2016). Iterative scheme for system of equilibrium problems and Bregman asymptotically quasi-nonexpansive mappings in Banach spaces. Journal of Information and Optimization Sciences, 37:3, 321–342. doi: 10.1080/02522667.2014.932093
   Web of Science ®Google Scholar
• Xu, B. and Noor, M.A. (2002). Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces. Journal of Mathematical Analysis and Applications, 267, 2, 444–453. doi: 10.1006/jmaa.2001.7649
   Web of Science ®Google Scholar