Abstract In this paper, we introduce a new concept of sets and class functions called $$\alpha$$ α - E -invex V-E-preinvex functions. Furthermore, generalized convexity is introduced for (not necessarily) differentiable vector optimization problems. Namely, the V -type I defined -differentiable problem. A num...

In this paper, authors introduce a new extension of ??convexity called ?? preinvexity and generalize the discussed results by Wu et al. in ?On class convex functions integral inequalities?. Some special cases are deduced from main results. At end, briefly conclusion is given.

In this work, we address and explore the concept of generalized \(m\)-preinvex functions on fractal sets along with linked local fractional integral inequalities. Additionally, some engrossing algebraic properties are presented to facilitate current initiated idea. Furthermore, prove latest variant Hermite-Hadamard type inequality employing proposed definition preinvexity. We also derive severa...

Robinson’s implicit function theorem has played a mayor role in the analysis of stability of optimization problems in the last two decades. In this paper we take a new look at this theorem, and with an updated terminology go back to the roots and present some extensions.

Let j(n) denote the smallest positive integer m such that every sequence of m consecutive integers contains an integer prime to n. Let Pn be the product of the first n primes and define h(n) = j(Pn). Presently, h(n) is only known for n ≤ 24. In this paper, we describe an algorithm that enabled the calculation of h(n) for n < 50. 0.

In this contribution a recently proposed iterative procedure is used to study the BFKL gluon Green's function at next–to–leading order. This is done in QCD and in N=4 supersymmetric Yang–Mills theory. The study includes an analysis of the evolution with energy and of angular dependences. A discussion of a novel resummation of running coupling terms in the QCD case is included.

we describe how to obtain electronic transport properties of disordered graphene, including the tight binding model and nearest neighbor hopping. we present a new method for computing, electronic transport wave function and greens function of the disordered graphene. in this method, based on the small rectangular approximation, break up the potential barriers in to small parts. then using the f...

background: cardiac rehabilitation has been recognized as one of the most effective strategies for managing cardiovascular indices as well as controlling the cardiovascular risk profile, in particular after coronary artery bypass graft surgery (cabg). however, the effect of this program on right ventricular function following cabg is unclear. the aim of this study was to evaluate the impact of ...