Characterizations of generalized convexities via generalized directional derivatives

DOI10.1080/01630569808816849zbMath0916.49015OpenAlexW2044485302MaRDI QIDQ4210740

Jean-Paul Penot, Pham Hu'u Sach

Publication date: 8 November 1998

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569808816849

zbMATH Keywords

quasiconvexityconvexityinvexitypseudoconvexitymonotone mappinggeneralized derivativequasimonotone mapping

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48) Convexity of real functions of several variables, generalizations (26B25)

Related Items (13)

Strict feasibility and stable solvability of bifunction variational inequalities ⋮ Vector variational-like inequalities with generalized bifunctions defined on nonconvex sets ⋮ Parametric well-posedness for variational inequalities defined by bifunctions ⋮ Nonsmooth vector optimization problems and Minty vector variational inequalities ⋮ P-strict feasibility of bifunction variational inequalities in reflexive Banach spaces ⋮ Characterization of scalar quasiconvexity and convexity of locally lipschitz vector-valued maps ⋮ Characterization of Quasiconvexity for Locally Lipschitz Vector-Valued Functions ⋮ Vector variational inequalities with cone-pseudomonotone bifunctions ⋮ Existence of solution for a generalised variational like inequality problem in terms of bifunctions ⋮ Characterizations of solution sets of mathematical programs in terms of Lagrange multipliers ⋮ Characterizations of the solution sets of generalized convex fuzzy optimization problem ⋮ A NOTE ON PSEUDOLINEARITY IN TERMS OF BIFUNCTIONS ⋮ Generalized convex functions and generalized differentials

Cites Work

• Random fixed-point theorems and approximation in cones
• Some fixed point theorems for concentrative mappings between locally convex linear topological spaces

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