In this paper, we investigate several inclusion relationships of certain subclasses of meromorphically p-valent functions which are defined here by means of a linear operator involving the generalized hypergeometric function . We introduce and investigate several new subclasses of p-valent starlike, p-valent convex, p-valent close-to-convex and p-valent quasiconvex meromorphic functions.

In this paper, we introduce the notion of a second-order coneconvex function involving second-order directional derivative. Also, second-order cone-pseudoconvex, second-order cone-quasiconvex and other related functions are defined. Second-order optimality and Mond-Weir type duality results are derived for a vector optimization problem over cones using the introduced classes of functions.

In this paper, we study some properties of quasiconvex nonlinear complementarity functions. However, we prove that a nonlinear complementarity function cannot be pseudoconvex. As a consequence of this, we show that every convex nonlinear complementarity function is nondifferentiable. Furthermore, some properties of homogeneous nonlinear complementarity functions are proved.

We prove that there exists a positive, explicit function $F(k, E)$ such that, for any group $G$ admitting $k$-acylindrical splitting and generating set $S$ of with $\mathrm{Ent}(G,S)<E$, we have $|S| \leq F(k, E)$. deduce corresponding finiteness results classes groups possessing acylindrical splittings acting geometrically bounded entropy: instance, $D$-quasiconvex $k$-malnormal amalgamated pr...

We study some classes of generalized a¢ ne functions, using a generalized di¤erential. We study some properties and characterizations of these classes and we devise some characterizations of solution sets of optimization problems involving such functions or functions of related classes. Key words: colinvex, colin…ne, generalized di¤erential, optimization problem, protoconvex function, pseudocon...

In this paper, we introduce and study a new class of generalized functions, called generalized geometrically convex functions. We establish several basic inequalities related to generalized geometrically convex functions. We also derive several new inequalities of the Hermite-Hadamard type for generalized geometrically convex functions. Several special cases are discussed, which can be deduced ...