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1.
Suthep?SuantaiEmail author Chanan?Sudsukh 《Southeast Asian Bulletin of Mathematics》2003,26(4):637-650
In this paper, we give the matrix characterizations from any normal vector-valued FK-space containing ø(X) into scalar-valued sequence space c(q) and by applying this result, we also obtain necessary and sufficient conditions for infinite matrices mapping the sequence spaces
, and Fr(X,p) into the space c(q), where p = (pk) and q = (qk) are bounded sequences of positive real numbers and r ≥ 0.AMS Subject Classification (2000): 46A45. 相似文献
2.
Suthep Suantai 《Southeast Asian Bulletin of Mathematics》2000,24(2):297-303
In this paper, we give necessary and sufficient conditions for infinite matrices mapping from the Nakano vector-valued sequence space (X, p) into any BK-space, and by using this result, we obtain the matrix characterizations from (X, p) into the sequence spaces (Y), c0(Y, q), c(Y), s(Y), Er(Y), and Fr(Y), where p = (pk) and q = (qk) are bounded sequences of positive real numbers such that pk 1 for all k N, r 0, and s 1.AMS Subject Classification (2000): 46A45 相似文献
3.
Strong convergence of a general viscosity explicit rule for the sum of two monotone operators in Hilbert spaces 下载免费PDF全文
Prasit Cholamjiak Suthep Suantai Pongsakorn Sunthrayuth 《Journal of Applied Analysis & Computation》2019,9(6):2137-2155
In this paper, we study a general viscosity explicit rule for approximating the solutions of the variational inclusion problem for the sum of two monotone operators. We then prove its strong convergence under some new conditions on the parameters in the framework of Hilbert spaces. As applications, we apply our main result to the split feasibility problem and the LASSO problem. We also give some numerical examples to support our main result. The results presented in this paper extend and improve the corresponding results in the literature. 相似文献
4.
Pachara?Jailoka Suthep?SuantaiEmail authorView authors OrcID profile 《Mediterranean Journal of Mathematics》2018,15(5):204
In this paper, we consider the split null point problem and the fixed point problem for multivalued mappings in Hilbert spaces. We introduce a Halpern-type algorithm for solving the problem for maximal monotone operators and demicontractive multivalued mappings, and establish a strong convergence result under some suitable conditions. Also, we apply our problem of main result to other split problems, that is, the split feasibility problem, the split equilibrium problem, and the split minimization problem. Finally, a numerical result for supporting our main result is also supplied. 相似文献
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In this paper, some basic properties of the general modular space are proven. Criteria for strictly monotone points, extreme points and SU-points in generalized Calderón–Lozanovskiǐ spaces are obtained. Consequently, the sufficient and necessary conditions for the rotundity properties of such spaces are given. 相似文献
7.
Suthep Suantai Watcharaporn Cholamjiak Prasit Cholamjiak 《Applied Mathematics Letters》2012,25(11):1656-1660
This work is concerned with the strong convergence of an approximating common fixed point sequence of a finite family of multi-valued mappings in a uniformly convex and smooth Banach space using an implicit iteration scheme introduced by Xu and Ori [H.K. Xu, R.G. Ori, An implicit iteration process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767–773]. 相似文献
8.
Watcharaporn Cholamjiak Prasit Cholamjiak Suthep Suantai 《Journal of Fixed Point Theory and Applications》2018,20(1):42
In this work, our interest is in investigating the monotone inclusion problems in the framework of real Hilbert spaces. For solving this problem, we propose an inertial forward–backward splitting algorithm involving an extrapolation factor. We then prove its strong convergence under some mild conditions. Finally, we provide some applications including the numerical experiments for supporting our main theorem. 相似文献
9.
Suthep?SuantaiEmail author Chanan?Sudsukh 《Southeast Asian Bulletin of Mathematics》2003,26(2):337-350
In this paper, we give the matrix characterizations from any normal vector-valued FK-space containing ø(X) into scalar-valued sequence space c(q) and by applying this result, we also obtain necessary and sufficient conditions for infinite matrices mapping the sequence spaces
, and Fr(X, p) into the space c(q), where p = (Pk) and q = (qk) are bounded sequences of positive real numbers and r 0.AMS Subject Classification (2000): 46A45. 相似文献
10.
Yunan Cui Henryk Hudzik Narin Petrot Suthep Suantai Alicja Szymaszkiewicz 《Proceedings Mathematical Sciences》2005,115(4):461-476
Necessary and sufficient conditions under which the Cesàro-Orlicz sequence spaceces
ϕ
is nontrivial are presented. It is proved that for the Luxemburg norm, Cesàro-Orlicz spacesces
ϕ
have the Fatou property. Consequently, the spaces are complete. It is also proved that the subspace of order continuous elements
inces
ϕ
can be defined in two ways. Finally, criteria for strict monotonicity, uniform monotonicity and rotundity (= strict convexity)
of the spacesces
ϕ
are given. 相似文献