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Approximating zeros of monotone operators by proximal point algorithms

Qin, Xiaolong; Kang, Shin; Cho, Yeol - In: Journal of Global Optimization 46 (2010) 1, pp. 75-87

Persistent link: https://www.econbiz.de/10008458194

Proximal point algorithms for nonsmooth convex optimization with fixed point constraints

Iiduka, Hideaki - In: European journal of operational research : EJOR 253 (2016) 2, pp. 503-513

Persistent link: https://www.econbiz.de/10011490370

General iterative algorithms approach to variational inequalities and minimum-norm fixed point for minimization and split feasibility problems

Sunthrayuth, Pongsakorn; Jo, Yeol je; Kumam, Poom - In: Opsearch : journal of the Operational Research Society … 51 (2014) 3, pp. 400-415

Persistent link: https://www.econbiz.de/10010507996

A general iteration scheme for variational inequality problem and common fixed point problems of nonexpansive mappings in q-uniformly smooth Banach spaces

Song, Yanlai; Ceng, Luchuan - In: Journal of Global Optimization 57 (2013) 4, pp. 1327-1348

In this paper, we introduce a 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 systems of variational inequalities for two inverse strongly accretive mappings in a q-uniformly...

Persistent link: https://www.econbiz.de/10010728099

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