Add to ORKGIn this paper, we introduce new types of generalized convex functions which include locally (Hp, r)-pre-invex functions and (Hp, r)-invex functions. Relationship between these two new classes of functions are established. We also present the conditions for optimality in differentiable mathematical programming problems where the functions considered are (Hp, r)-invex functions introduced in this paper.Este trabajo, establece nuevos tipos de funciones convexas generalizadas que incluyen localmente funciones (Hp, r) de pre-invex y funciones (Hp, r)-invex. La relacin entre estas dos nuevas clases de funciones estn establecidas. Tambin se presentan las condiciones de optimalidad en diferenciables problemas de programacin matemtica, donde las fun...
AbstractIn the present paper, we introduce the concept of G-pre-invex functions with respect to η de...
Invexity was introduced as an extension of differentiable convex ffinctions due to Hanson[6] in 1981...
For both differentiable and nondifferentiable functions defined in abstract spaces we characterize t...
In this paper, we introduce new types of generalized convex functions which include locally (Hp, r)-...
The concept of -convex function and its generalizations is studied with differentiability assumption...
Abstract. In this paper, a generalization of convexity, namely V-r-invexity, is considered in the ca...
Abstract In this paper, new classes of generalized (F,α,ρ, d)-V-type I functions are introduced for ...
The book presents an overview (and also some new results) on invex and related functions in various...
AbstractNotions of invexity of a function and of a set are generalized. The notion of an invex funct...
Abstract In this paper, we introduce four types of generalized convexity for an n-set function and d...
The class of functions is known as invex function (invariant convex) in the literature and the name ...
In this paper, a new concept of generalized convexity is introduced for (not necessarily) differenti...
AbstractIn the paper, we introduce and characterize a new class of nonconvex functions in mathematic...
New classes of generalized (F, ρ)-convexity are introduced for vector-valued functions. Examples are...
AbstractInvexity of a function is generalized. The new class of nonconvex functions, called B-(p,r)-...
AbstractIn the present paper, we introduce the concept of G-pre-invex functions with respect to η de...
Invexity was introduced as an extension of differentiable convex ffinctions due to Hanson[6] in 1981...
For both differentiable and nondifferentiable functions defined in abstract spaces we characterize t...
In this paper, we introduce new types of generalized convex functions which include locally (Hp, r)-...
The concept of -convex function and its generalizations is studied with differentiability assumption...
Abstract. In this paper, a generalization of convexity, namely V-r-invexity, is considered in the ca...
Abstract In this paper, new classes of generalized (F,α,ρ, d)-V-type I functions are introduced for ...
The book presents an overview (and also some new results) on invex and related functions in various...
AbstractNotions of invexity of a function and of a set are generalized. The notion of an invex funct...
Abstract In this paper, we introduce four types of generalized convexity for an n-set function and d...
The class of functions is known as invex function (invariant convex) in the literature and the name ...
In this paper, a new concept of generalized convexity is introduced for (not necessarily) differenti...
AbstractIn the paper, we introduce and characterize a new class of nonconvex functions in mathematic...
New classes of generalized (F, ρ)-convexity are introduced for vector-valued functions. Examples are...
AbstractInvexity of a function is generalized. The new class of nonconvex functions, called B-(p,r)-...
AbstractIn the present paper, we introduce the concept of G-pre-invex functions with respect to η de...
Invexity was introduced as an extension of differentiable convex ffinctions due to Hanson[6] in 1981...
For both differentiable and nondifferentiable functions defined in abstract spaces we characterize t...