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21.
The aim of this paper is to study the relationship among Minty vector variational-like inequality problem, Stampacchia vector variational-like inequality problem and vector optimization problem involving (G, α)-invex functions. Furthermore, we establish equivalence among the solutions of weak formulations of Minty vector variational-like inequality problem, Stampacchia vector variational-like inequality problem and weak efficient solution of vector optimization problem under the assumption of (G, α)-invex functions. Examples are provided to elucidate our results. 相似文献
22.
Given the NP-Hard nature of many optimization problems, it is often impractical to obtain optimal solutions to large-scale
problems in reasonable computing time. For this reason, heuristic and metaheuristic search approaches are used to obtain good
solutions fast. However, these techniques often struggle to develop a good balance between local and global search. In this
paper we propose a hybrid metaheuristic approach which we call the NeuroGenetic approach to search for good solutions for
these large scale optimization problems by at least partially overcoming this challenge. The proposed NeuroGenetic approach
combines the Augmented Neural Network (AugNN) and the Genetic Algorithm (GA) search approaches by interleaving the two. We
chose these two approaches to hybridize, as they offer complementary advantages and disadvantages; GAs are very good at searching
globally, while AugNNs are more proficient at searching locally. The proposed hybrid strategy capitalizes on the strong points
of each approach while avoiding their shortcomings. In the paper we discuss the issues associated with the feasibility of
hybridizing these two approaches and propose an interleaving algorithm. We also provide empirical evidence demonstrating the
effectiveness of the proposed approach. 相似文献
23.
Anurag Shukla Urvashi Arora N. Sukavanam 《Journal of Applied Mathematics and Computing》2015,49(1-2):513-527
This paper deals with the approximate controllability of retarded semilinear stochastic system with nonlocal conditions in Hilbert Spaces under the assumption that the corresponding linear system is approximately controllable. The control function for this system is suitably constructed by using the infinite dimensional controllability operator. With this control function, the sufficient conditions for the approximate controllability of the proposed problem in Hilbert Space are established. The results are obtained by using Banach fixed point theorem. Finally, two examples are provided to illustrate the application of the obtained results. 相似文献
24.
In the present paper, we consider Mond-Weir type nondifferentiable second order fractional symmetric dual programs over arbitrary cones and derive duality results under second order K?F-convexity/K?F-pseudoconvexity assumptions. Our results generalize several known results in the literature. 相似文献
25.
Anurag Jayswal I. M. Stancu-Minasian Dilip Kumar 《Journal of Mathematical Modelling and Algorithms》2014,13(2):125-141
A class of functions called higher-order (F, α, ρ, d)-V-type I functions and their generalizations is introduced. Using the assumptions on the functions involved, weak, strong and strict converse duality theorems are established for higher-order Wolfe and Mond-Weir type multiobjective dual programs in order to relate the efficient solutions of primal and dual problems. 相似文献
26.
Anurag K. Singh 《代数通讯》2020,48(6):2681-2682
AbstractWe comment on a conjecture of Lynch on annihilators of local cohomology.Communicated by Lawrence Ein 相似文献
27.
Schrijver (Nieuw Archief voor Wiskunde, 26(3) (1978) 454–461) identified a family of vertex critical subgraphs of the Kneser graphs called the stable Kneser graphs \(SG_{n,k}\). Björner and de Longueville (Combinatorica 23(1) (2003) 23–34) proved that the neighborhood complex of the stable Kneser graph \(SG_{n,k}\) is homotopy equivalent to a k-sphere. In this article, we prove that the homotopy type of the neighborhood complex of the Kneser graph \(KG_{2,k}\) is a wedge of \((k+4)(k+1)+1\) spheres of dimension k. We construct a maximal subgraph \(S_{2,k}\) of \(KG_{2,k}\), whose neighborhood complex is homotopy equivalent to the neighborhood complex of \(SG_{2,k}\). Further, we prove that the neighborhood complex of \(S_{2,k}\) deformation retracts onto the neighborhood complex of \(SG_{2,k}\). 相似文献
28.
The control of flow in a tundish is important for improving the quality of the steel. Dams, Wiers and Pouring chamber are some of the devices used for controlling the flow in the tundish. The investigation about the role of electromagnetic forces as a replacement for these devices is an objective for the present work. Thus, 3-D MHD simulation was performed to study the effect of electromagnetic forces on flow behaviour in the tundish. The MHD model developed for carrying out the simulation was validated with the analytical solution of the Hartman problem. The results obtained shows improvement in the desired characteristics for inclusion flotataion with magnetic flow modifier of optimum strength of magnetic field. 相似文献
29.
Anurag Gupta Bruce C. Kim Eugene Edwards Christina Brantley Paul Ruffin 《Applied Physics A: Materials Science & Processing》2012,107(3):709-714
In this work, we synthesize hierarchical ZnO nanowires in a customized atmospheric CVD furnace and investigate their surface modification behavior for prospective nitroaromatic sensing applications. The morphology and crystal structure of pristine nanowires are characterized through FE-SEM, TEM, X-ray diffraction and EDAX studies. Photoluminescence behavior of pristine nanowires is also reported. Surface modification behavior of synthesized nanowires on a ZnO–oleic acid system is studied by utilizing Raman and FT-IR spectroscopy. Based on these findings, 1-pyrenebutyric acid (PBA) has been identified as an appropriate fluorescent receptor for sensing p-nitrophenol. Fluorescence quenching experiments on a PBA–p-nitrophenol system are reported and a detection limit of up to 28 ppb is envisaged for PBA-grafted ZnO nanowire-based optical sensor. 相似文献
30.
We present an improved variational effective index method for reduction of 2-D Bragg grating problems to 1-D and show significant
improvements particularly at smaller wavelengths. The method is based on the optimal variational (Vopt) method, which we have
earlier used successfully for conventional waveguides. A 1-D transverse profile along with a longitudinal index variation
are reduced to a 1-D longitudinal distribution, reflection and transmission spectra of which have been studied for both the
TE and TM modes by transfer matrix methods. An accurate modeling for the out of plane scattering losses has been presented
which occur when a guided wave propagating in a conventional waveguide impinges on a photonic crystal waveguide. Taking these
losses into account brings the results pretty close to those of a rigorous 2-D Helmholtz solver QUEP, improving them remarkably
over the variational EIM (vEIM) results. 相似文献