• Nonlinear Functional Analysis and Applications
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• 제27권3호
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• pp.553-568
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• 2022

In this paper, we introduce and study two different iterative hybrid projection algorithms for solving a fixed point problem of nonexpansive mappings. The first algorithm is generated by the combination of the inertial method and the hybrid projection method. On the other hand, the second algorithm is constructed by the convex combination of three updated vectors and the hybrid projection method. The strong convergence of the two proposed algorithms are proved under very mild assumptions on the scalar control. For illustrating the advantages of these two newly invented algorithms, we created some numerical results to compare various numerical performances of our algorithms with the algorithm proposed by Dong and Lu [11].

• Nonlinear Functional Analysis and Applications
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• 제27권4호
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• pp.855-867
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• 2022

This study finds three different solutions (3-Sol's) for the fourth order nonlinear discrete anisotropic equations (DAE) with real parameter. We use the variational method(VM) and 𝜙_p-Laplacian operator (𝜙_p-LO) to prove the main results. In the following paper, we take the parameters λ, 𝜇 such that λ > 0 and 𝜇 ≥ 0 into consideration.

• Geomechanics and Engineering
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• 제31권3호
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• pp.329-337
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• 2022

In this paper, the thermal post-buckling characteristics of functionally graded (FG) pipes with initial geometric imperfection are studied. Considering the influence of initial geometric defects, temperature and geometric nonlinearity, Euler-Lagrange principle is used to derive the nonlinear governing equations of the FG pipes. Considering three different boundary conditions, the two-step perturbation method is used to solve the nonlinear governing equations, and the expressions of thermal post-buckling responses are also obtained. Finally, the correctness of this paper is verified by numerical analyses, and the effects of initial geometric defects, functional graded index, elastic foundation, porosity, thickness of pipe and boundary conditions on thermal post-buckling response are analyzed. It is found that, bifurcation buckling exists for the pipes without initial geometric imperfection. In contrast, there is no bifurcation buckling phenomenon for the pipes with initial geometric imperfection. Meanwhile, the elastic stiffness can significantly improve thermal post-buckling load and thermal post-buckling strength. The larger the porosity, the greater the thermal buckling load and the thermal buckling strength.

• Nonlinear Functional Analysis and Applications
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• 제28권2호
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• pp.557-570
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• 2023

The conceptions of generalized b-metric spaces or G_b-metric spaces and a generalized Ω-distance mappings play a key role in proving many important theorems in existence and uniqueness of fixed point theory. In this manuscript, we establish a new type of contraction namely, Ω_b(𝓗, 𝜃, s)-contraction, this contraction based on the concept of a generalized Ω-distance mappings which established by Abodayeh et.al. in 2017 together with the concept of 𝓗-simulation functions which established by Bataihah et.al [10] in 2020. By utilizing this new notion we prove new results in existence and uniqueness of fixed point. On the other hand, examples and application were established to show the importance of our results.

• Advances in nano research
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• 제13권5호
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• pp.427-435
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• 2022

Static stability behaviors of annular sandwich plates constructed from two layers of particle-reinforced nanocomposites have been investigated in the present article. The type of nanoscale particles has been considered to be graphene oxide powders (GOPs). The particles are assumed to have uniform and graded dispersions inside the matrix and the material properties have been defined according to Halpin-Tsai micromechanical model. The core layer is assumed to have honeycomb configuration. Annular plate has been formulated according to thin shell assumptions considering geometrical nonlinearities. After solving the governing equations via Galerkin's technique, it is showed that the post-buckling curves of annular sandwich plates rely on the core wall thickness, amount of GOP particles, sector radius, and thickness of layers.

• Nonlinear Functional Analysis and Applications
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• 제29권3호
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• pp.825-839
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• 2024

A new type of more general form of variational inequalities for quasi-pseudo-monotone type III and strong quasi-pseudo-monotone type III operators has been obtained on compact domains in locally convex Hausdorff topological vector spaces. These more general forms of variational inequalities for the above types of operators used the more general form of minimax inequality by Chowdhury and Tan in [3] as the main tool to derive them. Our new results established in this paper should have potential applications in nonlinear analysis and related applications, e.g., see Aubin [1], Yuan [11] and references wherein.

• 한국식품영양과학회지
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• 제38권10호
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• pp.1430-1437
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• 2009

다시마를 Vibrio sp.로 분해하여 제조한 SCD로 기능성 빵을 만들기 위하여 mixture design을 이용한 원료의 최적 배합 비율을 구하였다. 다시마 SCD 빵의 max weight, strength, hardness 및 비용적의 값은 밀가루와 물의 첨가량이 증가할수록 감소하는 반면, SCD의 첨가량이 증가할수록 증가하였다. 밀가루와 물의 첨가량이 증가할수록 SCD의 첨가량이 감소할수록 발효팽창력의 값은 증가하였다. 밀가루의 첨가량이 증가할수록 SCD의 첨가량이 감소할수록 SCD 빵의 L(명도) 값과 b(황색도) 값은 증가하였으며, 밀가루와 물의 첨가량이 증가할수록 SCD의 첨가량이 감소할수록 다시마 SCD 빵의 a(적색도) 값은 감소하였다. ANOVA 분석에 의한 다시마 SCD 빵의 max weight, strength, hardness, 비용적, 색도 b(황색도) 값 및 수분흡착력은 linear model이 결정되었으며, distance, 발효팽창력, 색도 L(명도) 및 a(적색도) 값은 nonlinear model(quadratic model)이 선정되었다. Constraint coefficient 값의 분석 결과 SCD는 SCD 빵의 texture에 가장 큰 영향을 주었으며, 물은 발효팽창력, 비용적 및 수분흡착력에 가장 큰 영향을 미쳤다. 또한 밀가루는 SCD 빵의 색도에 가장 큰 영향을 미쳤다. Distance에서는 flour-SCD 및 water-SCD 상호작용이 있었으며, 발효팽창력에서는 flour-SCD 상호작용이 있었다. 또한 SCD 빵 색도의 L(명도)에서는 flour-SCD의 상호작용이 나타났으며, a (적색도)에서는 flour-SCD 및 water-SCD 상호작용이 있었다. Mixture(modified distance) design에 의해 결정된 다시마 SCD 빵의 밀가루, 물 및 SCD의 최적 배합비율은 각각 48.25, 30.89 및 3.86%이었다. 관능검사 결과 전해수로 처리한 SCD 빵은 시중제품보다 모든 면에서 품질이 낮았으나, 전해수 처리 SCD 빵은 대조구(전해수 미처리)보다 월등히 높은 점수를 받아 전해수로 처리된 SCD 빵의 맛, 조직감 및 향을 개선한다면 SCD의 산업화가 가능할거라 판단된다.

• Membrane and Water Treatment
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• 제7권1호
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• pp.23-38
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• 2016

Batch adsorption of methyl orange (MO) from aqueous solution using three kinds of anion exchange membranes BI, BIII and DF-120B having different ion exchange capacities (IECs) and water uptakes ($W_R$) was investigated at room temperature. The FTIR spectra of anion exchange membranes was analysed before and after the adsorption of MO dye to investigate the intractions between dye molecules and anion exchange membranes. The effect of various parameters such as contact time, initial dye concentration and molarity of NaCl on the adsorption capacity was studied. The adsorption capacity found to be increased with contact time and initial dye concentration but decreased with ionic strength. The adsorption of MO on BI, BIII and DF-120B followed pseudo-first-order kinetics and the nonlinear forms of Freundlich and Langmuir were used to predict the isotherm parameters. This study demonstrates that anion exchange membranes could be used as useful adsorbents for removal of MO dye from wastewater.

• 대한수학회보
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• 제55권4호
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• pp.1065-1092
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• 2018

This manuscript is involved with a category of second-order impulsive functional integro-differential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence and approximate controllability of mild solutions are acquired by making use of the theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem. An illustration is additionally furnished to prove the attained principles.

• 대한수학회보
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• 제55권2호
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• pp.479-497
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• 2018

This paper deals with an optimal control on semilinear stochastic functional differential equations with Poisson jumps in a Hilbert space. The existence of an optimal control is derived by the solution of proposed system which satisfies weakly sequentially compactness. Also the stochastic maximum principle for the optimal control is established by using spike variation technique of optimal control with a convex control domain in Hilbert space. Finally, an application of retarded type stochastic Burgers equation is given to illustrate the theory.