1 |
S. Reich, S. Sabach, A strong convergence theorem for a proximal-type algorithm in reflexive Banach spaces, J. Nonlinear Convex Anal. 10 (2009) 471-485.
|
2 |
S. Reich, S. Sabach, Existence and approximation of fixed points of Bregmanfirmly nonexpansive mappings in reflexive Banach spaces. In: Fixed-Point Algo-rithms for Inverse Problems in Science and Engineering, Optimization and Its Applications, 49 (2011) 301-316.
|
3 |
S. Reich, S. Sabach, Two strong convergence theorems for a proximal method in reflexive Banach spaces, Numer. Funct. Anal. Optim. 31 (2010) 22-44.
DOI
|
4 |
R. T. Rockafellar, Level sets and continuity of conjugate convex functions, Trans. Amer. Math. Soc. 123 (1966) 46-63.
DOI
|
5 |
S. Suantai, Y. J. Cho, P. Cholamjiak, Halperns iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces, Comput. Math. Appl. 64 (2012) 489-499.
DOI
|
6 |
H. K. Xu, An iterative approach to quadratic optimization, J. Optim. Theory Appl. 116 (2003) 659-678.
DOI
|
7 |
Y. Yao, M. Aslam Noor, S. Zainab, Y. C. Liou, Mixed equilibrium problems and optimization problems J. Math. Anal. Appl. 354 (2009) 319-329 .
DOI
|
8 |
C. Zalinescu, Convex analysis in general vector spaces, World Scientific, River Edge, (2002).
|
9 |
H. Zegeye, Convergence theorems for Bregman strongly nonexpansive mappings in reflexive Banach spaces, Filomat. 7 (2014) 1525-1536.
|
10 |
Y.I. Alber, Metric and generalized projection operators in Banach spaces: properties and applications, in: A.G. Kartsatos (Ed.), Theory and Applications of Nonlinear Operator of Accretive and Monotone Type, Marcel Dekker, New York, (1996) 15-50.
|
11 |
M. Aslam Noor, Generalized mixed quasi-equilibrium problems with trifunction, Appl. Math. Lett. 18 (2005) 695-700.
DOI
|
12 |
M. Aslam Noor, W. Oettli, On general nonlinear complementarity problems and quasi equilibria, Matematiche (Catania) 49 (1994) 313-331.
|
13 |
D. Butnariu, A. N. Iusem, Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization, Applied Optimization, 40 Kluwer Academic, Dordrecht 2000.
|
14 |
E. Blum, W. Oettli, From optimization and variational inequalities to equilibrium problems, Math. Student 63 (1994) 123-145.
|
15 |
H. H. Bauschke, J. M. Borwein, P. L. Combettes, Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces, Commun. Contemp. Math. 3 (2001) 615-647.
DOI
|
16 |
J. F. Bonnans, A. Shapiro, Perturbation Analysis of Optimization Problem, Springer, NewYork (NY), 2000.
|
17 |
R.E. Bruck, S. Reich, Nonexpansive projections and resolvents of accretive operators in Banach spaces, Houston J. Math. 3 (1977) 459-470.
|
18 |
D. Butnariu, E. Resmerita, Bregman distances, totally convex functions and a method for solving operator equations in Banach spaces, Abstr. Appl. Anal. Art. ID 84919 (2006) 1-39.
|
19 |
L.C. Ceng, J.C. Yao, A hybrid iterative scheme for mixed equilibrium problems and fixed point problems, J. Comput. Appl. Math. 214 (2008) 186-201.
DOI
|
20 |
Y. Censor, A. Lent, An iterative row-action method for interval convex programming, J. Optim. Theory Appl. 34 (1981) 321-353.
DOI
|
21 |
O. Chadli, N.C. Wong, J.C. Yao, Equilibrium problems with applications to eigenvalue problems, J. Optim. Theory Appl. 117 (2003) 245-266.
DOI
|
22 |
O. Chadli, S. Schaible, J.C. Yao, Regularized equilibrium problems with an application to noncoercive hemivariational inequalities, J. Optim. Theory Appl. 121 (2004) 571-596.
DOI
|
23 |
J. B. Hiriart-Urruty, C. Lemarechal, Grundlehren der mathematischen Wissenschaften, in: Convex Analysis and Minimization Algorithms II, 306, Springer-Verlag, (1993).
|
24 |
I.V. Konnov, S. Schaible, J.C. Yao, Combined relaxation method for mixed equilibrium problems, J. Optim. Theory Appl. 126 (2005) 309-322.
DOI
|
25 |
G. Kassay, S. Reich, S. Sabach, Iterative methods for solving systems of variational inequalities in re exive Banach spaces, SIAM J. Optim. 21 (2011) 1319-1344.
DOI
|
26 |
F. Kohsaka, W. Takahashi, Proximal point algorithms with Bregman functions in Banach spaces, J. Nonlinear Convex Anal. 6 (2005) 505-523.
|
27 |
W. Kumam, U. Witthayaratb, P. Kumam, S. Suantai, K. Wattanawitoon, Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces, Optimization 65 (2016) 265-280.
|
28 |
V. Martin-Marquez, S. Reich, S. Sabach, Iterative methods for approximating fixed points of Bregman nonexpansive operators, Discrete Contin. Dyn. Syst. Ser. S. 6 (2013) 1043-1063.
|
29 |
J. J. Moreau, Sur la fonction polaire dune fonction semi-continue suprieurement [On the polar function of a semi-continuous function superiorly], C. R. Acad. Sci. Paris. 258 (1964) 1128-1130.
|
30 |
J. W. Peng, J. C. Yao, Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems, Math. Comp. Model. 49 (2009) 1816-1828.
DOI
|
31 |
R. P. Phelps, Convex Functions, Monotone Operators, and Differentiability, second ed., in: Lecture Notes in Mathematics, vol. 1364, Springer Verlag, Berlin, 1993.
|
32 |
S. Reich, A weak convergence theorem for the alternating method with Bregman distances, in: Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, Marcel Dekker, New York, (1996) 313-318.
|