On Higher-order Duality in Nondifferentiable Minimax Fractional Programming

In this paper, we consider a nondifferentiable minimax fractional programming problem with continuously differentiable functions and formulated two types of higher-order dual models for such optimization problem.Weak, strong and strict converse duality theorems are derived under higherorder generalized invexity

Projection methods in conic optimization

There exist efficient algorithms to project a point onto the intersection of a convex cone and an affine subspace. Those conic projections are in turn the work-horse of a range of algorithms in conic optimization, having a variety of applications in science, finance and engineering. This chapter reviews some of these algorithms, emphasizing the so-called regularization algorithms for linear conic optimization, and applications in polynomial optimization. This is a presentation of the material of several recent research articles; we aim here at clarifying the ideas, presenting them in a general framework, and pointing out important techniques

Effect of yeast culture supplementation on carcass yield and humoral immune response of broiler chicks

Aim: A study was conducted to evaluate the effect of supplemental yeast culture (Diamond V XPC Yeast Culture; YC) in broiler diets on carcass characteristics and humoral immune response. Materials and Methods: A total of 240 one-day-old broiler chicks (Ross 308) were randomly assigned to four YC dietary treatments of 60 birds each. The dietary treatments were 0 (control), 1, 1.25 and 1.5 g YC/kg diet over 42 d. Results: The results revealed that the birds fed yeast cultures had statistically increased (P < 0.05) body weight from control birds only at 5-6 weeks of age. The highest inclusion level (1.5g/kg) recorded the best weight. The broiler chicks fed a diet supplemented with 1.25g/kg had the lowest mortality rate over the whole period of the experiment. The birds given the highest level of yeast (1.5g/kg) had significantly (P < 0.05) higher percentage of major and minor breast muscles compared with the others that fed a basal diet. A significantly (P < 0.01) increase in IgM titer was noticed in birds fed diet containing YC levels more than 1g/kg at 7 days post-injection with sheep red blood cells. Likewise, broilers fed a diet containing 1.25g/kg exhibited a higher level of antibody titer against Newcastle disease virus at latter age (on d 42) compared with the other groups. Conclusion: The data suggest improvement in growth performance, carcass yield and humoral immunity of broilers fed yeast culture supplementation diet. [Vet World 2012; 5(11.000): 651-657

An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings

AbstractIn this paper, we propose an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a strict pseudo-contraction mapping in the setting of real Hilbert spaces. We establish some weak and strong convergence theorems of the sequences generated by our proposed scheme. Our results combine the ideas of Marino and Xu’s result [G. Marino, H.K. Xu, Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, J. Math. Anal. Appl. 329 (2007) 336–346], and Takahashi and Takahashi’s result [S. Takahashi, W. Takahashi, Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces, J. Math. Anal. Appl. 331 (2007) 506–515]. In particular, necessary and sufficient conditions for strong convergence of our iterative scheme are obtained