Báo cáo hóa học: " A relaxed hybrid steepest descent method for common solutions of generalized mixed equilibrium problems and fixed point problems" potx
... descent method for
common solutions of generalized mixed
equilibrium problems and fixed point problems
Nawitcha Onjai-uea
1,3
, Chaichana Jaiboon
2,3*
and Poom Kumam
1,3
* Correspondence: chaichana.
j@rmutr.ac.th
2
Department ... chaichana.
j@rmutr.ac.th
2
Department of Mathematics,
Faculty of Liberal Arts, Rajamangala
University of Technology
Rattanakosin...
... P. Katchang and P. Kumam, A general iterative method of fixed points for mixed equilibrium
problems and variational inclusion problems, ” Journal of Inequalities and Applications, vol. 2010, Article
ID ... Projection Method for Common
Solutions of Generalized Mixed Equilibrium
Problems and Fixed Point Problems for Strictly
Pseudocontractive Map...
... Nonlinear Functional Analysis and Its Applications. III: Variational Methods and Opti-
mization, Springer, New York, NY, USA, 1985.
[11] I. Yamada, “The hybrid steepest- descent method for variational ... The-
ory and Applications, vol. 79, no. 1, pp. 197–206, 1993.
[7] Y. Yao and M. A. Noor, “On modified hybrid steepest- descent methods for general variational
inequal...
... Surface area of the
catalyst before and after use in the reaction was mea-
sured using surface area & pore size analyzer (NOVA
1000e, Quanta chrome Instruments). All the chemicals
were used as-received.
5. ... they
are cheap in general, commercially available, air stable crystalline solids, safe, and non-toxic, hence easy to handle.
Results: Carbonyl compounds (aliphatic, heterocycl...
... “Viscosity approximation methods for nonexpansive mappings,” Journal of Mathematical
Analysis and Applications, vol. 298, no. 1, pp. 279–291, 2004.
9 P. L. Combettes and S. A. Hirstoaga, Equilibrium ... and W. Takahashi, “Viscosity approximation methods for equilibrium problems and
fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and Appli...
... effective-
ness of the method for diameter measurement. The method
is automated, accurate, and much faster than manual
method and has the capability of being used as an on-line
technique for quality control.
References
1. ... The method was tested by a simulated
image with known characteristics and a real web. Mean
(M) and standard deviation (STD) of fiber diamete...
... automated, accurate, and much faster than manual
method and has the capability of being used as an on-line
technique for quality control.
References
1. A. K. Haghi, M. Akbari, Phys. Stat. Sol. A 204, ... paper, a new image analysis based
method for electrospun nanofiber diameter measurement
has been presented. The method was tested by a simulated
image with known charact...
... rate
Model-based
Filter-based
(c)
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
00.20.40.60.81
Probability of error I
Correct rate
Model-based
Filter-based
(d)
Figure 2: Comparison of ROC curves of two methods in each dataset.
APPENDIX
DERIVATION OF FORMULA (3)
For a Gaussian distribution
p(x) ... σ
2
n+1
and µ
n
, σ
2
n
are the mean vector and variance
vector after and before upd...
...
,
Agarwal et al. Fixed Point Theory and Applications 2011, 2011:58
http://www.fixedpointtheoryandapplications.com/content/2011/1/58
Page 8 of 17
Author details
1
Department of Mathematics, Texas ... Plubtieng et al. [14],
Qin et al. [15], Thakur [ 21], Thianwan and Suantai [22], Xu and Ori [23], and Zhou
and Chang [24] as special cases mainly improves the resul ts of Cia...