References
- Németh SZ. Variational inequalities on Hadamard manifolds. Nonlinear Anal. 2003;52:1491–1498. doi: 10.1016/S0362-546X(02)00266-3
- Li SL, Li C, Liou YC, et al. Existence of solutions for variational inequalities on Riemannian manifolds. Nonlinear Anal. 2009;71:5695–5706. doi: 10.1016/j.na.2009.04.048
- Ansari QH, Lalitha CS, Mehta M. Generalized convexity, nonsmooth variational inequalities, and nonsmooth optimization. Boca Raton (FL): CRC Press; 2014.
- Boothby WM. An introduction to differentiable manifolds and Riemannian geometry. New York: Academic Press; 1986.
- Chavel I. Riemannian geometry- a mordern introduction. London: Cambridge University Press; 1993.
- Docarmo MP. Riemannian geometry. Boston (MA): Birkhauser; 1992.
- Klingenberg W. A course in differential geometry. Berlin: Springer; 1978.
- Ledyaev YS, Zhu QJ. Nonsmooth analysis on smooth manifolds. Trans Amer Math Soc. 2007;359:3687–3732. doi: 10.1090/S0002-9947-07-04075-5
- Petersen P. Riemannian geometry. New York (NY): Springer; 2006.
- Rapcsak T. Smooth nonlinear optimization in
. Dordrecht: Kluwer Academic Publishers; 1997.
- Sakai T. Riemannian geometry. Providence (RI): American Mathematical Society; 1992.
- Spivak M. Calculus on manifolds: a modern aproach to classical theorems of advanced calculus. Amsterdam: W.A. Benjamin, Inc.; 1965.
- Udriste C. Convex functions and optimization methods on Riemannian manifolds. Dordrecht: Kluwer Academic; 1994.
- Ansari QH, Islam M, Yao JC. Nonsmooth convexity and monotonicity in terms of a bifunction on Riemannian manifolds. J Nonlinear Convex Anal. 2017;18(4):743–762.
- Li C, López G, Martín-Márquez V. Monotone vector fields and the proximal point algorithm on Hadamard manifolds. J London Math Soc. 2009;79(2):663–683. doi: 10.1112/jlms/jdn087
- Jost J. Nonpositive curvature: geometric and analytic aspects. Basel: Birkhauser Verlag; 1997.
- Colao V, López G, Marino G, et al. Equilibrium problems in Hadamard manifolds. J Math Anal Appl. 2012;388:61–77. doi: 10.1016/j.jmaa.2011.11.001
- Zhou LW, Huang N-J. Generalized KKM theorems on Hadamard manifolds with applications. 2009. Available from: http://www.paper.edu.cn/index.php/default/releasepaper/content/200906-669.
- Zhou L-W, Xiao Y-B, Huang N-J. New characterization of geodesic convexity on Hadamard manifolds with applications. J Optim Theory Appl. 2017;172(3):824–844. doi: 10.1007/s10957-016-1012-0
- Yang Z, Pu YJ. Generalized Browder-type fixed point theorem with strongly geodesic convexity on Hadamard manifolds with applications. Indian J Pure Appl Math. 2012;43(2):129–144. doi: 10.1007/s13226-012-0008-1
- Xiang FN, Debnath L. Fixed point theorems and variational inequalities with non-compact sets. Int J Math Math Sci. 1996;19(1):111–114. doi: 10.1155/S0161171296000178
- Fan K. Extensions of two fixed point theorems of F. E. Browder. Math Z. 1969;112:234–240. doi: 10.1007/BF01110225