과제정보
연구 과제 주관 기관 : King Mongkut's University of Technology Thonburi
참고문헌
- R. E. Bruck, On the convex approximation property and the asymptotic behavior of non-linear contractions in Banach spaces, Israel Journal Mathematical, 38(1981), 304-314. https://doi.org/10.1007/BF02762776
- R.-S. Burachik and J.-O. Lopes, An inexact interior point proximal method for the variational inequality problem, Computational and Applied Mathematics, 28(2009), 15-36.
- E. Blum and W. Oettli, From optimization and variational inequalities to equilibrium problems, The Mathematics Student, 63(1994), 123-145.
- L. C. Ceng and J. C. Yao, A hybrid iterative scheme for mixed equilibrium problems and fixed point problems, J. Comput. Appl. Math., 214(2008), 186-201. https://doi.org/10.1016/j.cam.2007.02.022
- S. D. Flam and A. S. Antipin, Equilibrium programming using proximal-link algolithms, Mathematics Programming 78(1997), 29-41.
- P. Kumam, Strong Convergence Theorems by an Extragradient Method for Solving Variational Inequalities and Equilibrium Problems in a Hilbert space, Turkish Journal of Mathematics, 33(2009), 85-98.
- P. Kumam, A Hybrid approximation method for equilibrium and fixed point problems for a monotone mapping and a nonexpansive mapping, Nonlinear Analysis: Hybrid Systems, 2(4) (2008), 1245-1255. https://doi.org/10.1016/j.nahs.2008.09.017
- P. Kumam, A new hybrid iterative method for solution of Equilibrium problems and fixed point problems for an inverse strongly monotone operator and a nonexpansive mapping, Journal of Applied Mathematics and Computing, 29(1) (2009), 263-280.
- P. Kumam and C. Jaiboon, A new hybrid iterative method for mixed equilibrium problems and variational inequality problem for relaxed cocoercive mappings with application to optimization problems, Nonlinear Analysis: Hybrid Systems, 3(4) (2009), 510-530. https://doi.org/10.1016/j.nahs.2009.04.001
- P. Kumam and P. Katchang, A viscosity of extragradient approximation method for finding equilibrium problems, variational inequalities and fixed point problems for nonexpansive mapping, Nonlinear Analysis: Hybrid Systems, 3(2009), 475-486. https://doi.org/10.1016/j.nahs.2009.03.006
- G. Marino and H.-K. Xu, A general iterative method for nonexpansive mappings in Hilbert spaces, Journal of Mathematical Analysis and Applications, 318(2006), 43-52. https://doi.org/10.1016/j.jmaa.2005.05.028
- A. Moudafi and M. Thera, Proximal and dynamical approaches to equilibrium problems, Lecture note in Economics and Mathematical Systems, Springer-Verlag, New York, 477(1999), 187-201.
- Z. Opial, Weak convergence of the sequence of successive approximation for nonexpansive mapping, Bulletin of the American Mathematical Society, 73(1967), 561-597.
- M.O. Osilike and D.I. Igbokwe, Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations, Computers and Mathematics with Applications, 40(2000), 559-567. https://doi.org/10.1016/S0898-1221(00)00179-6
- J.-W. Peng and J.-C. Yao, Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems, Mathematical and Computer Modelling, 49(2009), 1816-1828. https://doi.org/10.1016/j.mcm.2008.11.014
- R.T. Rockafellar, On the maximality of sums of nonlinear monotone operators, Transactions of the American Mathematical Society, 149(1970), 75-88. https://doi.org/10.1090/S0002-9947-1970-0282272-5
- T. Suzuki, Strong convergence of Krasnoselskii and Mann's type sequences for oneparameter nonexpansive semigroups without Bochner integrals, Journal of Mathematical Analysis and Applications, 305(1) (2005), 227-239. https://doi.org/10.1016/j.jmaa.2004.11.017
- Y. Su, M. Shang and X. Qin, An iterative method of solution for equilibrium and optimization problems, Nonlinear Analysis, 69(2008), 2709-2719. https://doi.org/10.1016/j.na.2007.08.045
- T. Shimizu and W. Takahashi, Strong convergence to common fixed points of families of nonexpansive mappings, Journal of Mathematical Analysis and Applications, 211(1) (1997), 71-83. https://doi.org/10.1006/jmaa.1997.5398
- R.Wangkeeree, An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings, Fixed Point Theory and Applications, Vol. 2008, Article ID 134148, 17 pages.
- Z. Wang and Y. Su, Strong convergence theorems of common elements for equilibrium problems and fixed point problems in Banach paces, J. Appl. Math. & Informatics, Vol. 28(2010), No. 3-4, pp. 783-796.
- R.Wangkeeree and R.Wangkeeree, Strong convergence of the iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems of an infinite family of nonexpansive mappings, Nonlinear Analysis: Hybrid Systems, 3(4) (2009), 719-733. https://doi.org/10.1016/j.nahs.2009.06.009
- H. K. Xu, Viscosity approximation methods for nonexpansive mappings, Journal of Mathematical Analysis and Applications, 298(2004), 279-291. https://doi.org/10.1016/j.jmaa.2004.04.059
- Y. Yao, M. Aslam Noor, S. Zainab and Y.-C. Liou, Mixed equilibrium problems and optimization problems, Journal of Mathematical Analysis and Applications, 354(1) (2009), 319-329. https://doi.org/10.1016/j.jmaa.2008.12.055
- Y. Yao, Y.-J. Cho and R. Chen, An iterative algorithm for solving fixed point problems, variational inequality problems and mixed equilibrium problems, Nonlinear Analysis, 71(2009), 3363-3373. https://doi.org/10.1016/j.na.2009.01.236
- Y. Yao and Y.-C. Liou, Iterative Algorithms for Nonexpansive Mapping, Fixed Point Theory and Applications, Vol. 2008, Article ID 384629, 10 pages.
- Y. Yao, Y.-C. Liou, and J.-C. Yao, Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings, Fixed Point Theory and Applications, Vol. 2007, Article ID 64363, 12 pages.
- J.-C. Yao and O. Chadli, Pseudomonotone complementarity problems and variational inequalities, In: Handbook of Generalized Convexity and Monotonicity, Springer Nether-lands, (2005), 501-558.
- L.C. Zeng, S. Schaible and J.-C. Yao, Iterative algorithm for generalized set-valued strongly nonlinear mixed variational-like inequalities, Journal of Optimization Theory and Applications, 124(2005), 725-738. https://doi.org/10.1007/s10957-004-1182-z