References
- Alexander S, Kapovitch V, Petrunin A. An invitation to Alexandrov geometry: CAT(0) spaces, springerbriefs in mathematics. Cham: Springer; 2019. ISBN:978-3-030-05311-6;978-3-030-05312-3.
- Bačák M. Convex analysis and optimization in Hadamard spaces. Berlin: De Gruyter; 2014. (De Gruyter Series in Nonlinear Analysis and Applications, 22). ISBN:978-3-11-036103-2;978-3-11-036162-9.
- Bridson MR, Haefliger A. Metric spaces of non-positive curvature. Berlin: Springer-Verlag; 1999. (Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 319). ISBN:3-540-64324-9.
- Goebel K, Reich S. Uniform convexity, hyperbolic geometry, and nonexpansive mappings. New York: Marcel Dekker, Inc.; 1984. (Monographs and Textbooks in Pure and Applied Mathematics, 83). ISBN:0-8247-7223-7.
- Jost J. Nonpositive curvature: geometric and analytic aspects. Basel: Birkhäuser Verlag; 1997. (Lectures in Mathematics ETH Zürich). ISBN:3-7643-5736-3.
- Reich S, Salinas Z. Weak convergence of infinite products of operators in Hadamard spaces. Rend Circ Mat Palermo. 2016;65(2):55–71. doi: https://doi.org/10.1007/s12215-015-0218-6
- Reich S, Shafrir I. Nonexpansive iterations in hyperbolic spaces. Nonlinear Anal. 1990;15:537–558. doi: https://doi.org/10.1016/0362-546X(90)90058-O
- Bačák M, Reich S. The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces. J Fixed Point Theory Appl. 2014;16:189–202. doi: https://doi.org/10.1007/s11784-014-0202-3
- Jost J. Convex functionals and generalized harmonic maps into spaces of nonpositive curvature. Comment Math Helv. 1995;70:659–673. doi: https://doi.org/10.1007/BF02566027
- Khatibzadeh H, Mohebbi V. On the iterations of a sequence of strongly quasi-nonexpansive mappings with applications. Numer Funct Anal Optim. 2020;41:231–256. doi: https://doi.org/10.1080/01630563.2019.1626419
- Saejung S. Halpern's iteration in CAT(0) spaces. Fixed Point Theory Appl. 2010; Art. ID 471781, 2009. doi:10.1155/2010/471781.
- Cholamjiak P. The modified proximal point algorithm in CAT(0) spaces. Optim Lett. 2015;9:1401–1410. doi: https://doi.org/10.1007/s11590-014-0841-8
- Kimura Y, Kohsaka F. Two modified proximal point algorithms for convex functions in Hadamard spaces. Linear Nonlinear Anal. 2016;2:69–86.
- Pakkaranang N, Kumam P, Cho YJ. Proximal point algorithms for solving convex minimization problem and common fixed points problem of asymptotically quasi-nonexpansive mappings in CAT(0) spaces with convergence analysis. Numer Algorithms. 2018;78:827–845. doi: https://doi.org/10.1007/s11075-017-0402-1
- Suparatulatorn R, Cholamjiak P, Suantai S. On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces. Optim Methods Softw. 2017;32:182–192. doi: https://doi.org/10.1080/10556788.2016.1219908
- Wairojjana N, Pakkaranang N, Uddin I, et al. Modified proximal point algorithms involving convex combination technique for solving minimization problems with convergence analysis. Optimization. 2019; doi:10.1080/02331934.2019.1657115.
- Lim TC. Remark on some fixed point theorems. Proc Amer Math Soc. 1967;60:179–182. doi: https://doi.org/10.1090/S0002-9939-1976-0423139-X
- Kirk WA, Panyanak B. A concept of convergence in geodesic spaces. Nonlinear Anal. 2008;68:3689–3696. doi: https://doi.org/10.1016/j.na.2007.04.011
- Ranjbar S, Khatibzadeh H. △-convergence and w-convergence of the modified Mann iteration for a family of asymptotically nonexpansive type mappings in complete CAT(0) spaces. Fixed Point Theory. 2016;17:151–158.
- Saejung S, Yotkaew P. On △-convergence of iterative sequences in CAT(0) spaces. Vietnam J Math. 2020;48:35–45. doi: https://doi.org/10.1007/s10013-019-00338-6
- Tan KK, Xu HK. Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process. J Math Anal Appl. 1993;178:301–308. doi: https://doi.org/10.1006/jmaa.1993.1309
- Saejung S, Yotkaew P. Approximation of zeros of inverse strongly monotone operators in Banach spaces. Nonlinear Anal. 2012;75:742–750. doi: https://doi.org/10.1016/j.na.2011.09.005
- Kimura Y, Saejung S. Strong convergence for a common fixed point of two different generalizations of cutter operators. Linear Nonlinear Anal. 2015;1:53–65.
- Saejung S. Fixed point algorithms and related topics. Yokohama: Yokohama Publ.; 2017. ISBN:978-4-946552-60-1.
- Nanjaras B, Panyanak B. Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. Fixed Point Theory Appl. 2010; Art. ID 268780 (2010). doi:10.1155/2010/268780.
- Kirk WA. Some recent results in metric fixed point theory. J Fixed Point Theory Appl. 2007;2:195–207. doi: https://doi.org/10.1007/s11784-007-0031-8
- Bačák M. The proximal point algorithm in metric spaces. Israel J Math. 2013;194:689–701. doi: https://doi.org/10.1007/s11856-012-0091-3
- Ariza-Ruiz D, Leuştean L, López-Acedo G. Firmly nonexpansive mappings in classes of geodesic spaces. Trans Amer Math Soc. 2014;366:4299–4322. doi: https://doi.org/10.1090/S0002-9947-2014-05968-0