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Strong convergence theorems for variational inequality problems and fixed point problems in uniformly smooth and uniformly convex Banach spaces

Cai, Gang; Bu, Shangquan - In: Journal of global optimization : an international … 56 (2013) 4, pp. 1529-1542

Persistent link: https://www.econbiz.de/10010152223

Strong convergence theorems for variational inequality problems and fixed point problems in uniformly smooth and uniformly convex Banach spaces

Cai, Gang; Bu, Shangquan - In: Journal of Global Optimization 56 (2013) 4, pp. 1529-1542

In this paper, we introduce a new iterative algorithm for finding a common element of the set of solutions of a general variational inequality problem for finite inverse-strongly accretive mappings and the set of common fixed points for a nonexpansive mapping in a uniformly smooth and uniformly...

Persistent link: https://www.econbiz.de/10010896360

Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces

Cai, Gang; Bu, Shangquan - In: Journal of Global Optimization 55 (2013) 2, pp. 437-457

In this paper, we introduce a new general iterative algorithm for finding a common element of the set of common fixed points of an infinite family of nonexpansive mappings and the set of solutions of a general variational inequality for two inverse-strongly accretive mappings in Banach space. We...

Persistent link: https://www.econbiz.de/10010896377

A strongly convergent viscosity‑type inertial algorithm with self adaptive stepsize for solving split variational inclusion problems in Hilbert spaces

Xia, Pingjing; Cai, Gang; Dong, Qiao-Li - In: Networks and spatial economics : a journal of … 23 (2023) 4, pp. 931-952

Persistent link: https://www.econbiz.de/10014438736