• Kyungpook Mathematical Journal
• /
• v.62 no.4
• /
• pp.673-687
• /
• 2022

In this study, we solve the Cayley inclusion problem and the fixed point problem in real Hilbert space using Tseng's technique with inertial extrapolation in order to obtain more efficient results. We provide a strong convergence theorem to approximate a common solution to the Cayley inclusion problem and the fixed point problem under some appropriate assumptions. Finally, we present a numerical example that satisfies the problem and shows the computational performance of our suggested technique.

• Journal of Chest Surgery
• /
• v.30 no.5
• /
• pp.506-511
• /
• 1997

To understand the clinical results of aortic root replacement with either inclusion or open technique, we analysed 53 patients who underwent replacement of the aortic root with composite graft between October,1980, and May, 1995. Annuloaortic ectasia was the most common indication for operation(29 patients), follwed by aortic dissection(22 patients). Among 53 patients, 19(35%) had Marfan syndrome. Three patients died during hospitalization (Mortality: 5.5%). The follow up was possible in 48 patients(Follow-up rate; 94%,mean duration;37 months). The actuarial survival rate at 24 months was 95% in open technique group, and 87% in inclusion technique group. Late complications developed in 10 patients. Dissecting aneurysm in the remaining aorta was noted in 3 patients with inclu ion 1,schnique, and a pseudoaneurysm from coronary artery anastomosis site developed in a patient with inclusion technique. In conclusion, there was no statistical differences in survival for 24 months between inclusion technique and open technique group. But late problems in the remaining aorta or death from unknown cause occurred with moderate frequency : careful follow-up after aortic root replacement thought to be important for long term survival.

• Nonlinear Functional Analysis and Applications
• /
• v.26 no.4
• /
• pp.717-731
• /
• 2021

In this paper, we introduce and study a new class of random generalized nonlinear implicit variational-like inclusion with random fuzzy mappings in a real separable Hilbert space and give its fixed point formulation. Using the fixed point formulation and the proximal mapping technique for strongly maximal monotone mapping, we suggest and analyze a random iterative scheme for finding the approximate solution of this class of inclusion. Further, we prove the existence of solution and discuss the convergence analysis of iterative scheme of this class of inclusion. Our results in this paper improve and generalize several known results in the literature.

• Korean Journal of Mathematics
• /
• v.10 no.1
• /
• pp.75-87
• /
• 2002

The shape derivative for the domain functional will be discussed in the situation of domain inclusion. Hadamard's shape structure is sought by using the material derivative in conjunction with the domain imbedding technique.

• The Pure and Applied Mathematics
• /
• v.29 no.4
• /
• pp.255-275
• /
• 2022

In this paper, we introduce a new system of set-valued variational inclusion problems in semi-inner product spaces. We use resolvent operator technique to propose an iterative algorithm for computing the approximate solution of the system of set-valued variational inclusion problems. The results presented in this paper generalize, improve and unify many previously known results in the literature.

• Journal of Chest Surgery
• /
• v.40 no.3 s.272
• /
• pp.225-227
• /
• 2007

The aortic inclusion technique is frequently used in the original Bentall's procedure for the control of excessive postoperative bleeding. Although this procedure has improved the outcome of patients with aortic root disease, there is a high incidence of both early and late complications, including coronary artery stenosis, kinking or pseudoaneurysm formation at the coronary suture lines. Pseudoaneurysm of the ascending aorta is a relatively rare, but fatal complication, which occurs after wrap-inclusion composite graft replacement. Herein, the case of a 45-year-old female, who developed a perigraft aortic pseudoaneurysm 10 years after a Bentall's procedure (wrap-inclusion technique), but was successfully managed using the Cabrol's method, is reported.

• Journal of Pharmaceutical Investigation
• /
• v.17 no.1
• /
• pp.1-14
• /
• 1987

To increase the bioavailability of norfloxacin, inclusion complex of antimicrobial agent norfloxacin with ${\beta}-Cyclodextrin$ was prepared and studied by the solubility method, spectrophotometric methods(UV, IR, $^1H-NMR$), differential thermal analysis, powder X-ray diffractometry, the physical properties, the antimicrobial activity, DNA binding and in situ recirculation technique. The conclusions are summerized as following; 1) The inclusion complexation was identified by means of solubility, spectrophotometry(UV, IR, NMR), DTA and X-ray diffraction. 2) The molar ratio of $norfloxacin-{\beta}-cyclodextrin$ complex was 1 : 1. 3) The stability constant of $norfloxacin-{\beta}-cyclodextrin$ complex was $21.5\;M^{-1}$, and both true and apparent partition coefficients of the inclusion complex were larger than those of norfloxacin. 4) The time required to dissolve 60% $(T_{60}%)$ of the inclusion complex was 120 min. in distilled water and in the artificial intestinal juice, while norfloxacin did not reach to 60% dissolution within 120 min. 5) The antimicrobial activity of the inclusion complex against Pseudomonas aeruginosa, Klebsiella pneumoniae and Staphylococcus aureus showed no significant difference compared to that of norfloxacin alone. 6) Studies on binding properties between the inclusion complex and norfloxacin alone to DNA according to equilibrium dialysis showed no significant differency. 7) In situ absorption rates (Ka) of inclusion complex and norfloxacin alone were 0.229 and $0.102hr^{-1}$, respectively.

• Nonlinear Functional Analysis and Applications
• /
• v.26 no.5
• /
• pp.917-933
• /
• 2021

In this paper, we investigate the behavior and sensitivity analysis of a solution set for a parametric generalized multi-valued nonlinear quasi-variational inclusion problem in a real Hilbert space. For this study, we utilize the technique of resolvent operator and the property of a fixed-point set of a multi-valued contractive mapping. We also examine Lipschitz continuity of the solution set with respect to the parameter under some appropriate conditions.

• Analytical Science and Technology
• /
• v.20 no.6
• /
• pp.508-515
• /
• 2007

Age determination was carried out with the bricks relating to Muryong Royal Tomb of the Baekje Kingdom, for which there is no information on the external gamma dose rate, by using the subtraction method of luminescence dating. In the subtraction method, each paleodose for fine grain and for quartz inclusion is required for the sample to be dated. In this study, the paleodose for the fine grain was estimated by thermoluminescence measurement and the paleodose for the quartz inclusion was determined using optically stimulated luminescence. The resultant ages among the bricks showed good agreement with standard deviation of 6 % error. Finally the bricks relating to Muryong Royal Tomb were evaluated as AD $530{\pm}50yrs$($1{\sigma}$ SD).

• Proceedings of the KSME Conference
• /
• 2000.04a
• /
• pp.176-181
• /
• 2000

Stress intensity factors for a rigid line inclusion tying along a bimaterial interface are calculated by the boundary element method with the multiregion and double-Point techniques. The formula between the stress intensity factors and the inclusion surface stresses are derived. The numerical values of the stress intensity factors for the bimaterial interface rigid line inclusion in the infinite body are proved to be in good agreement within 3% when compared with the previous exact solutions. In the finite bimaterial systems, the stress intensity factors for the center and edge rigid line inclusions at interface are computed with the variation of the rigid line inclusion length and the shear modulus ratio under the biaxial and uniaxial loading conditions.