References
- Martinet B. Régularisation d’Inéquations Variationnelles par Approximations Successives. Rev Fr Inform Rech O. 1970;3:154–158.
- Rockafellar T. Monotone operators and the proximal point algorithm. SIAM J Control Optim. 1976;14:877–898.
- Brezis H, Lions PL. Produits infinis de résolvantes. Israel J Math. 1978;29:329–345.
- Güler O. On the convergence of the proximal point algorithm for convex minimization. SIAM J Control Optim. 1991;29:403–419.
- Xu HK. Iterative algorithms for nonlinear operators. J London Math Soc. 2002;66:240–256.
- Kamimura S, Takahashi W. Approximating solutions of maximal monotone operators in Hilbert Spaces. J Approx Theory. 2000;106:226–240.
- Ahmadi P, Khatibzadeh H. On the convergence of inexact proximal point algorithm on Hadamard manifolds. Taiwanese J Math. 2014;18:419–433.
- Bento GC, CruzNeto JX, Oliveira PR. A new approach to the proximal point method: Convergence on general Riemannian manifolds. J Optim Theory Appl. 2016;168:743–755.
- Ferreira OP, Oliveira PR. Proximal point algorithm on Riemannian manifolds. Optimization. 2002;51:257–270.
- Li C, Lopez G, Martin-Marquez V. Monotone vector fields and the proximal point algorithm on Hadamard manifolds. J London Math Soc. 2009;79:663–683.
- Bacak M. The proximal point algorithm in metric spaces. Israel J Math. 2013;194:689–701.
- Khatibzadeh H, Ranjbar S. Monotone operators and the proximal point algorithm in complete CAT(0) metric spaces. J Aust Math Soc. 2016. DOI:10.1017/s1446788716000446
- Jost J. Convex functionals and generalized harmonic maps into spaces of non positive curvature. Comment Math Helvetici. 1995;70:659–673.
- Jost J. Nonpositive curvature: geometric and analytic aspects. Lectures in mathematics. ETH Zürich. Basel: Birkhäuser; 1997.
- Bacak M. Convex analysis and optimization in Hadamard spaces. Vol. 22, De Gruyter series in nonlinear analysis and applications. Berlin: De Gruyter; 2014.
- Bacak M. Computing medians and means in Hadamard spaces. SIAM J Optim. 2014;24:1542–1566.
- Khatibzadeh H. Some remarks on the proximal point algorithm. J Optim Theory Appl. 2012;153:769–778.
- Khatibzadeh H, Ranjbar S. On the strong convergence of Halpern type proximal point algorithm. J Optim Theory Appl. 2013;158:385–396.
- Cholamjiak P. The modified proximal point algorithm in CAT(0) spaces. Optim Lett. 2015;9:1401–1410.
- Dhompongsa S, Panyanak B. On Δ-convergence theorems in CAT(0) spaces. Comput Math Appl. 2008;56:2572–2579.
- Kirk WA, Panyanak B. A concept of convergence in geodesic spaces. Nonlinear Anal. 2008;68:3689–3696.
- Halpern B. Fixed point of nonexpanding maps. Bull Am Math Soc. 1967;73:957–961.
- Saejung S, Yotkaew P. Approximation of zeros of inverse strongly monotone operators in Banach spaces. Nonlinear Anal. 2012;75:742–750.