Titlebook: Generalized Convexity, Generalized Monotonicity: Recent Results; Recent Results Jean-Pierre Crouzeix,Juan-Enrique Martinez-Legaz,M Book 199

Digest

Timothy Etheridge,Philip J. Athertonlasses of quasiaffine two step functions. Some of the main problems in the theory of generalized convexity aire solved for various classes of two step functions. In particular a full description is provided of generalized convex functions and generalized convex (quasiconvex) sets. The associated gen

phase-2-enzyme

SLAG

Marina M.N. Zenun,Geilson Loureiroonly if the function . is convex. In this paper we observe that such characterization does not hold when the domain of ƒ is not an Hilbertian space. For this reason, we characterize the .-convexity of a lower semicontinuous function via the .-monotonicity of its Dini-Hadamard directional derivative

不自然

职业

https://doi.org/10.1007/978-3-030-83004-5.)..Introducing a suitable dual problem defined from the Legendre-Fenchel conjugates of the data .., .., .., .., the duality formula establishes, under a standard qualification condition between g. and h., the zero gap between the two optimal values. Although unusual, the strict inequality in the co

Foreshadow

考得

Gary A. Maddux,William E. SouderIn this paper some notions of convexity with respect to a given set in a convexity space are introduced. Some properties of these sets are given. Also induced convexity concepts are defined.

鸵鸟

HERTZ

https://doi.org/10.1007/978-1-4613-0431-9In this paper we survey results concerning major properties of variational inequality problems and equilibrium problems under generalized monotonicity assumptions rather than monotonicity. Scalar and vectorial versions of these models are considered. The analysis is done for both pseudomonotone and quasimonotone maps and their variants.

泄露

Atomicity: Formal Definition and PropertiesIn this paper (.) we continue the study of polar generalized convexity of vector valued functions initiated in [6]. Our aim now is to give first order characterization for special classes of vector valued directionally differentiable pseudoconcave functions in terms of suitable pseudomonotonicity property of the directional derivative.