References
[1]. Adler, R. L., Dedieu, J. P., Margulies, J. Y., Martens, M., & Shub, M. (2002). Newton's method on Riemannian manifolds and a geometric model for the human spine. IMA Journal of Numerical Analysis, 22(3), 359-390.
[2]. Ambrosio, L., Gigli, N., & Savaré, G. (2008). Gradient Flows: In Metric Spaces and in the Space of Probability Measures. Springer Science & Business Media.
[3]. Ariza-Ruiz, D., Leuştean, L., & López-Acedo, G. (2014). Firmly nonexpansive mappings in classes of geodesic spaces. Transactions of the American Mathematical Society, 366(8), 4299-4322.
[4]. Bačák, M. (2013). The proximal point algorithm in metric spaces. Israel Journal of Mathematics, 194(2), 689-701.
[5]. Bačák, M. (2014). Computing medians and means in Hadamard spaces. SIAM Journal on Optimization, 24(3), 1542- 1566.
[6]. Chang, S. S., Yao, J. C., Wang, L., & Qin, L. J. (2016). Some convergence theorems involving proximal point and common fixed points for asymptotically nonexpansive mappings. Fixed Point Theory and Applications, 2016(1), 68.
[7]. Cho, Y. J., Ćirić, L., & Wang, S. H. (2011). Convergence theorems for nonexpansive semigroups in CAT(0) spaces. Nonlinear Analysis: Theory, Methods & Applications, 74(17), 6050-6059.
[8]. Cholamjiak, P., Abdou, A. A., & Cho, Y. J. (2015). Proximal point algorithms involving fixed points of nonexpansive mappings in CAT (0) spaces. Fixed Point Theory and Applications, 2015(1), 227.
[9]. Dhompongsa, S., & Panyanak, B. (2008). On ∆-convergence theorems in CAT(0) spaces. Computers & Mathematics with Applications, 56(10), 2572-2579.
[10]. Dhompongsa, S., Kirk, W. A., & Sims, B. (2006). Fixed points of uniformly Lipschitzian mappings. Nonlinear Analysis: Theory, Methods & Applications, 65(4), 762-772.
[11]. Ferreira, O. P., & Oliveira, P. R. (2002). Proximal point algorithm on Riemannian manifolds. Optimization, 51(2), 257-270.
[12]. Fukhar-ud-din, H. (2013). Strong convergence of an Ishikawa-type algorithm in CAT(0) spaces. Fixed Point Theory and Applications, 2013, 1-11.
[13]. Ishikawa, S. (1974). Fixed points by a new iteration method. Proceedings of the American Mathematical Society, 44(1), 147-150.
[14]. Jost, J. (1995). Convex functionals and generalized harmonic maps into spaces of non positive curvature. Commentarii Mathematici Helvetici, 70(1), 659-673.
[15]. Kirk, W. A. (2003, February). Geodesic geometry and fixed point theory. In Seminar of Mathematical Analysis (Malaga/Seville, 2002/2003) (Vol. 64, pp. 195-225).
[16]. Laokul, T., & Panyanak, B. (2009). Approximating fixed points of nonexpansive mappings in CAT(0) spaces. International Journal of Mathematical Analysis, 3(27), 1305-1315.
[17]. Li, C., López, G., & Martín-Márquez, V. (2009). Monotone vector fields and the proximal point algorithm on Hadamard manifolds. Journal of the London Mathematical Society, 79(3), 663-683.
[18]. Mann, W. R. (1953). Mean value methods in iteration. Proceedings of the American Mathematical Society, 4(3), 506- 510.
[19]. Martinet, B. (1970). Brève communication. Régularisation d'inéquations variationnelles par approximations successives. Revue française d'informatique et de recherche opérationnelle. Série rouge, 4(R3), 154-158.
[20]. Mayer, U. F. (1998). Gradient flows on nonpositively curved metric spaces and harmonic maps. Communications in Analysis and Geometry, 6(2), 199-253.
[21]. Nanjaras, B., & Panyanak, B. (2010). Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. Fixed Point Theory and Applications, 2010(1), 268780.
[22]. Osilike, M. O., & Aniagbosor, S. C. (2000). Weak and strong convergence theorems for fixed points of asymptotically nonexpensive mappings. Mathematical and Computer Modelling, 32(10), 1181-1191.
[23]. Quiroz, E. P., & Oliveira, P. R. (2009). Proximal point methods for quasiconvex and convex functions with Bregman distances on Hadamard manifolds. J. Convex Anal., 16(1), 49-69.
[24]. Rockafellar, R. T. (1976). Monotone operators and the proximal point algorithm. SIAM Journal on Control and Optimization, 14(5), 877-898.
[25]. Senter, H. F., & Dotson, W. G. (1974). Approximating fixed points of nonexpansive mappings. Proceedings of the American Mathematical Society, 44(2), 375-380.
[26]. Smith, S. T. (1994). Optimization techniques on Riemannian manifolds. Fields Institute Communications, 3(3), 113-135.
[27]. Udriste, C. (1994). Convex Functions and Optimization Methods on Riemannian Manifolds (Vol. 297). Springer Science & Business Media.
[28]. Wang, J. H., & Li, C. (2009). Convergence of the family of Euler-Halley type methods on Riemannian manifolds under
the g-condition. Taiwanese Journal of Mathematics, 13(2A), 585-606.
[29]. Wang, J. H., & López, G. (2011). Modified proximal point algorithms on Hadamard manifolds. Optimization, 60(6), 697- 708.
