In recent years, sequential optimality conditions are frequently used for convergence of iterative methods to solve nonlinear constrained optimization problems. The sequential optimality conditions do not require any of the constraint qualications. In this paper, We present the necessary sequential complementary approximate Karush Kuhn Tucker (CAKKT) condition for a point to be a solution of a ...

knowing income inequality in socio-economic subgroups helps us to achieve justice. the main goal of this study is to evaluate, decompose and compare the theil and atkinson inequality indices in terms of the inequality within and inequality between urban and rural area in tehran province during the 3rd and the 4th economic development program of iran. doing so, we used the micro households'...

In this paper, we deal with a new family of iterative methods for approximating the solution nonlinear systems non-differentiable operators. The novelty is that it m-step generalization Steffensen-type method by updating divided difference operator in first two steps but not following ones. This procedure allows us to increase both order convergence and efficiency index respect obtained updates...

In this paper, a family of Steffensen type methods of fourth-order convergence for solving nonlinear smooth equations is suggested. In the proposed methods, a linear combination of divided diferences is used to get a better approximation to the derivative of the given function. Each derivative-free member of the family requires only three evaluations of the given function per iteration. Therefo...

The vascular system in fish is divided into two components, the blood circulation and a secondary circulatory system, which is a vessel system referred to by earlier authors as ‘lymphatics’. Also, Wardle (1971) used the latter term for his description of the secondary system. However, true lymphatics are defined solely anatomically (and not functionally) as a system of vessels without direct va...

Educational inequality is one of the types of inequality which always pervades on an educational system. The existence of the educational inequality alongside other inequalities and their interaction are the most important in a society. This paper attempts to examine the factors that affect educational inequality in Kazeroon city. The method of present study is survey and data collection tool i...

Opportunity inequality and its relationship with economic growth is a concept to which not enough attention has been paid in the previous studies. This study attempts to investigate the effects of opportunity inequality index on economic growth in 15 developing and 15 developed countries over the years 1995-2015. Accordingly, the mean group (MG) estimator within the framework of panel data was ...