Generalized mixed equilibrium problem in Banach spaces

Springer Science and Business Media LLC - Tập 30 Số 9 - Trang 1105-1112 - 2009
张石生1
1Department of Mathematics, Yibin University, Yibin, P. R. China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Ceng, Lu-Chuan and Yao, Jen-Chih. A hybrid iterative scheme for mixed equilibrium problems and fixed point problems. J. Comput. Appl. Math. 214, 186–201 (2008)

Browder, F. E. Existence and approximation of solutions of nonlinear variational inequalities. Proc. Natl. Acad. Sci. USA 56(4), 1080–1086 (1966)

Takahashi, W. and Zembayashi, K. Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces. Nonlinear Anal. 70(1), 45–57 (2008)

Takahashi, S. and Takahashi, W. Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces. J. Math. Anal. Appl. 331(1), 506–515 (2007)

Qin, X. L., Shang, M., and Su, Y. A general iterative method for equilibrium problem and fixed point problems in Hilbert spaces. Nonlinear Anal. 69(11), 3897–3909 (2008)

Cioranescu, I. Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems, Kluwer Academic Publishers, Dordrecht (1990)

Alber, Y. I. Metric and generalized projection operators in Banach spaces: properties and applications. Theory and Applications of Nonlinear Operators of Accretive and Monotone Type (ed. Kartosator, A. G.), Marcel Dekker, New York, 15–50 (1996)

Kamimura, S. and Takahashi, W. Strong convergence of a proximal-type algorithm in a Banach space. SIAM J. Optim. 13(3), 938–945 (2002)

Matsushita, S. and Takahashi, W. Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces. Fixed Point Theory Appl. 67(6), 37–47 (2004)

Nilsrakoo, W. and Saejung, S. Strong convergence to common fixed points of countable relatively quasi-nonexpansive mappings. Fixed Point Theory Appl. 2008, Article ID 312454, 19 pages (2008) DOI: 10.1155/2008/312454

Blum, E. and Oettli, W. From optimization and variational inequalities to equilibrium problems. The Mathematics Student 63(1–4), 123–145 (1994)

Xu, H. K. Inequalities in Banach spaces with applications. Nonlinear Anal. 16(12), 1127–1138 (1991)