[1] Al-Homidan S, Ansari Q H, Babu F. Halpern and Mann type algorithms for fixed points and inclusion problems on Hadamard manifolds. Numer Funct Anal Optim, 2019, 40(6):621-653 [2] Ansari Q H, Babu F. Proximal point algorithm for inclusion problems in Hadamard manifolds with applications. Optim Lett, 2021, 15(3):901-921 [3] Ansari Q H, Babu F. Existence and boundedness of solutions to inclusion problems for maximal monotone vector fields in Hadamard manifolds. Optim Lett, 2020, 14(3):711-727 [4] Ansari Q H, Babu F, Li X B. Variational inclusion problems in Hadamard manifolds. J Nonlinear Convex Anal, 2018, 19(2):219-237 [5] Ariza-Ruiz D, Lopez-Acedo G, Nicolae A, The asymptotic behavior of the composition of firmly nonexpansive mappings. J Optim Theory Appl, 2015, 167:409-429 [6] Bačák M, Computing medians and means in Hadamard spaces. SIAM J Optim, 2014, 24:1542-1566 [7] Bauschke H H, Combettes P L, Reich S, The asymptotic behavior of the composition of two resolvents. Nonlinear Anal, 2005, 60:283-301 [8] Browder F E, Petryshyn W V, Construction of fixed points of nonlinear in Hilbert space. J Math Anal Appl, 1967, 20:197-228 [9] Ceng L C, Wang C Y, Yao J C, Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities. Math Meth Oper Res, 2008, 67:375-390 [10] da Cruz Neto J X, Ferreira O P, Lucambio P R. Monotone point-to-set vector fields. Balk J Geom Appl, 2000, 5(1):69-79 [11] da Cruz Neto J X, Ferreira O P, Lucambio P R, Németh S Z, Convex-and monotone-transformable mathematical programming problems and a proximal-like point method. J Global Optim, 2006, 35:53-69 [12] do Carmo M P. Riemannian Geometry. Boston, Basel, Berlin:Birkhäuser, 1992 [13] Ferreira O P, Oliveira P R, Proximal point algorithm on Riemannian manifolds. Optimization, 2002, 51:257-270 [14] Iusem A N, An iterative algorithm for the variational inequality problem. Comput Appl Math, 1994, 13:103-114 [15] Li C, López G, Martín-Márquez V, Monotone vector fields and the proximal point algorithm on Hadamard manifolds. J Lond Math Soc, 200979:663-683 [16] Li C, López G, Martíín-Máarquez V. Iterative algorithms for nonexpansive mappings on Hadamard manifolds. Taiwanese J Math, 2010, 14(2):541-559 [17] Li C, López G, Martín-Márquez V, Resolvent of set-valued monotone vector fields in Hadamard manifolds. Set-valued Anal, 201119:361-383 [18] Liu L S, Ishikawa and Mann iteration process with errors for nonlinear strongly accretive mappings in Banach spaces. J Math Anal Appl, 1995, 194:114-125 [19] Moudafi A. A three-operator splitting algorithm for null-point problems. Fixed Point Theory, 2020, 21(2):685-692 [20] Németh S Z. Monotonicity of the complementary vector field of a nonexpansive map. Acta Math Hungar, 1999, 84(3):18-197 [21] Németh S Z, Monotone vector fields. Publ Math Debrecen, 1999, 54:437-449 [22] Passty G B, Ergodic convergence to a zero of the sum of maximal monotone operators. J Math Anal Appl, 1978, 7:591-597 [23] Rapcsák T. Smooth Nonlinear Optimization in $\mathbb{R}$n. Dordrecht:Kluwer Academic Publishers, 1997 [24] Reich S, Strong convergence theorems for resolvents of accretive operators in Banach spaces. J Math Anal Appl, 1980, 75:287-292 [25] Sahu D R. Altering points and applications. Nonlinear Stud, 2014, 21(2):349-365 [26] Sahu D R, Ansari Q H, Yao J C, The prox-Tikhonov-like forward-backward method and application. Taiwanese J Math, 201519:481-503 [27] Sahu D R, Babu F, Sharma S. The S-iterative techniques on Hadamard manifolds and applications. J Appl Numer Optim, 2020, 2(3):353-371 [28] Sakai T. Riemannian Geometry. Providence, RI:Amer Math Soc, 1996 [29] Sakurai K, Jimba T, Iiduka H. Iterative methods for parallel convex optimization with fixed point constraints. J Nonlinear Var Anal, 2019, 3(2):115-126 [30] Tuyen T M, Quy T X, Trang N M. A parallel iterative method for solving a class of variational inequalities in Hilbert spaces. J Nonlinear Var Anal, 2020, 4(3):357-376 [31] Udriste C. Convex Functions and Optimization Methods on Riemannian Manifolds. Dordrecht:Kluwer Academic Publishers, 1994 [32] Walter R, On the metric projections onto convex sets in Riemannian spaces. Arch Math, 1974, 25:91-98 [33] Zhang C, Chen J, The subgradient extragradient-type algorithms for solving a class of monotone variational inclusion problems. J Appl Numer Optim, 2020, 2:3 [34] Zhao X P, Sahu D R, Wen C F. Iterative methods for system of variational inclusions involving accretive operators and applications. Fixed Point Theory, 2018, 19(2):801-822 |