In 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. RESUMEN 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 126 Xiaoling Liu, Dehui Yuan and Shengyun Yang CUBO 13, 1 (2011) estas dos nuevas clases de funciones estn establecidas. Tambin se presentan las condi-ciones de opti...
Invexity was introduced as an extension of differentiable convex ffinctions due to Hanson[6] in 1981...
New classes of generalized (F, ρ)-convexity are introduced for vector-valued functions. Examples are...
In this paper, a new concept of generalized convexity is introduced for (not necessarily) differenti...
In this paper, we introduce new types of generalized convex functions which include locally (Hp, r)-...
AbstractNotions of invexity of a function and of a set are generalized. The notion of an invex funct...
The concept of -convex function and its generalizations is studied with differentiability assumption...
AbstractIn the present paper, we introduce the concept of G-pre-invex functions with respect to η de...
A class of function called sub-b-s-preinvex function is defined as a generalization of s-convex and ...
The book presents an overview (and also some new results) on invex and related functions in various...
The class of functions is known as invex function (invariant convex) in the literature and the name ...
AbstractIn the paper, we introduce and characterize a new class of nonconvex functions in mathematic...
A kind of generalized convex set, called as local star-shaped E-invex set with respect to η, is pres...
xiii, 166 leaves ; 30 cm.PolyU Library Call No.: [THS] LG51 .H577P AMA 2002 YangIn this thesis, some...
AbstractInvexity of a function is generalized. The new class of nonconvex functions, called B-(p,r)-...
AbstractA class of nonconvex functions is introduced, called semi-preinvex function, which includes ...
Invexity was introduced as an extension of differentiable convex ffinctions due to Hanson[6] in 1981...
New classes of generalized (F, ρ)-convexity are introduced for vector-valued functions. Examples are...
In this paper, a new concept of generalized convexity is introduced for (not necessarily) differenti...
In this paper, we introduce new types of generalized convex functions which include locally (Hp, r)-...
AbstractNotions of invexity of a function and of a set are generalized. The notion of an invex funct...
The concept of -convex function and its generalizations is studied with differentiability assumption...
AbstractIn the present paper, we introduce the concept of G-pre-invex functions with respect to η de...
A class of function called sub-b-s-preinvex function is defined as a generalization of s-convex and ...
The book presents an overview (and also some new results) on invex and related functions in various...
The class of functions is known as invex function (invariant convex) in the literature and the name ...
AbstractIn the paper, we introduce and characterize a new class of nonconvex functions in mathematic...
A kind of generalized convex set, called as local star-shaped E-invex set with respect to η, is pres...
xiii, 166 leaves ; 30 cm.PolyU Library Call No.: [THS] LG51 .H577P AMA 2002 YangIn this thesis, some...
AbstractInvexity of a function is generalized. The new class of nonconvex functions, called B-(p,r)-...
AbstractA class of nonconvex functions is introduced, called semi-preinvex function, which includes ...
Invexity was introduced as an extension of differentiable convex ffinctions due to Hanson[6] in 1981...
New classes of generalized (F, ρ)-convexity are introduced for vector-valued functions. Examples are...
In this paper, a new concept of generalized convexity is introduced for (not necessarily) differenti...