Gap functions and error bounds for generalized extended mixed vector equilibrium problem

Error bounds for generalized mixed weak vector quasiequilibrium problems via regularized gap functions

“…(ii) In special cases of Remark 2.7(ii), Theorem 3.2 improve error bounds via the regularized gap functions of Moreau-Yosida type in Husain & Singh (2017), Khan & Chen (2015) and Bigi & Passacantando (2016) and is a generalization of Theorem 4.1 in Yamashita & Fukushima (1997).…”

“…Motivated by Fukushima (1992), based on strong monotonicity assumptions Yamashita & Fukushima (1997) studied global error bounds for general variational inequalities under using regularized gap functions of the Moreau-Yosida type. Since then, the study of error bounds for related-optimization problems has become an interesting and important topic in optimization theory (see Husain & Singh (2017), Khan & Chen (2015), Yamashita & Fukushima (1997), Bigi & Passacantando (2016), Fukushima (1992), Anh, Hung, & Tam (2018), Mastroeni (2003) and the references therein). In Khan & Chen (2015), the regularized gap functions of Fukushima type versions and error bounds were studied for generalized mixed vector equilibrium problems infinite-dimensional spaces.…”

“…then (GMWQEP) reduces to the following generalized extended mixed vector equilibrium problem (shortly, (GEMVEP)) considered by Husain & Singh (2017)…”

“…(i) In special cases of (a)-(d) mentioned in Sect. 1, the function   reduces to the regularized gap function for (GEMVEP), (GMVEP), (VIP) and (QEP) considered inHusain & Singh (2017),Khan & Chen (2015),Yamashita & Fukushima (1997),Bigi & Passacantando (2016), respectively. Therefore, for these cases, Theorem 2.3 extends to the existing ones in the literature such as Theorem 3.2 inHusain & Singh (2017), Theorem 3.1 inKhan & Chen (2015), Lemma 2.1 inYamashita & Fukushima (1997) and Theorem 1 inBigi & Passacantando (2016).…”

Simulation of hydrofoil stability based on FLUENT

“…Carl Erik Wasberg et al (2010) simulated the 2D and 3D models of the hydrofoil and compared the influence of the two on the drag force [1]. Sheng Huang et al (2010) simulated the Cavitating flow in the 2D model of the hydrofoil [2], and Srijna Singh simulated et al (2018) the vortex shedding in the 2D model of the NACA4418 hydrofoil [3]. In this paper, Fluent model combined with 2-DOF model is used to simulate the influence of flow field on the attitude of two hydrofoil plates.…”