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Publications Influence

Vector Equilibrium Problems with Generalized Monotone Bifunctions

- M. Bianchi, N. Hadjisavvas, S. Schaible
- Mathematics
- 1 March 1997

AbstractA vector equilibrium problem is defined as follows: given a closed convex subset K of a real topological Hausdorff vector space and a bifunction F(x, y) valued in a real ordered locally… Expand

244 15

From Scalar to Vector Equilibrium Problems in the Quasimonotone Case

- N. Hadjisavvas, S. Schaible
- Mathematics
- 1 February 1998

In a unified approach, existence results for quasimonotone vector equilibrium problems and quasimonotone (multivalued) vector variational inequality problems are derived from an existence result for… Expand

128 8

On Quasimonotone Variational Inequalities

- D. Aussel, N. Hadjisavvas
- Mathematics
- 1 May 2004

The purpose of this paper is to prove the existence of solutions of the Stampacchia variational inequality for a quasimonotone multivalued operator without any assumption on the existence of inner… Expand

69 8

Continuity and Maximality Properties of Pseudomonotone Operators

- N. Hadjisavvas
- Mathematics
- 2003

£is called pseudomonotone (in Karamardian’s sense) if for all (x;x £ ) and (y;y £ ) in its graph, hx £ ;y † xi µ 0 implies hy £ ;y † xi µ 0. We deflne an equivalence relation on the set of… Expand

67 8

Quasimonotone variational inequalities in Banach spaces

- N. Hadjisavvas, S. Schaible
- Mathematics
- 1 July 1996

Various existence results for variational inequalities in Banach spaces are derived, extending some recent results by Cottle and Yao. Generalized monotonicity as well as continuity assumptions on the… Expand

102 6

Characterization of Nonsmooth Semistrictly Quasiconvex and Strictly Quasiconvex Functions

- A. Daniilidis, N. Hadjisavvas
- Mathematics
- 1 September 1999

New concepts of semistrict quasimonotonicity and strict quasimonotonicity for multivalued maps are introduced. It is shown that a locally Lipschitz map is (semi)strictly quasiconvex if and only if… Expand

58 5

Handbook of Generalized Convexity and Generalized Monotonicity

- N. Hadjisavvas, S. Komlósi, S. Schaible
- Mathematics
- 2005

The chapters are as follows: Introduction to Convex and Quasiconvex Analysis (J.B.G.Frenk, G. Kassay) Criteria for Generalized Convexity and Generalized Monotonicity in the Differentiable Case (J.-P.… Expand

181 4- PDF

Coercivity conditions and variational inequalities

- A. Daniilidis, N. Hadjisavvas
- Mathematics, Computer Science
- Math. Program.
- 1 November 1999

TLDR

73 4- PDF

On the Subdifferentials of Quasiconvex and Pseudoconvex Functions and Cyclic Monotonicity

- A. Daniilidis, N. Hadjisavvas
- Mathematics
- 1 September 1999

Abstract The notions of cyclic quasimonotonicity and cyclic pseudomonotonicity are introduced. A classical result of convex analysis concerning the cyclic monotonicity of the (Fenchel–Moreau)… Expand

52 4

On strong pseudomonotonicity and (semi)strict quasimonotonicity

- N. Hadjisavvas, S. Schaible
- Mathematics
- 1 October 1993

New concepts of strong pseudomonotonicity, strict quasimonotonicity, and semistrict quasimonotonicity of a map are introduced and their properties are studied. In the case of a differentiable… Expand

53 4