Intermediate pseudoconvexity for unramified Riemann domains over ℂⁿ
We characterize the q-pseudoconvexity for unramified Riemann domains over ℂⁿ, where 1≤q≤n, by the continuity property which holds for a class of maps whose projections to ℂⁿ are families of unidirectionally parameterized q-dimensional analytic balls ...
Shima, Tadashi +2 more
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Parametrized $$\bar \partial $$ operator on pseudoconvex setsoperator on pseudoconvex sets [PDF]
Annali di Matematica Pura ed Applicata, 1976 Si dimostra l'esistenza della soluzione per l'operatore di Cauchy-Riemann parametrizzato, nel caso continuo per varieta fortemente pseudoconvesse e nel caso differenziabile per varieta di Stein.
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On generalized pseudoconvex functions
, 1989 In this paper, the concept of pseudoconvexity is generalized in three different ways and the interrelation of them is investigated. For constrained optimization, sufficiency of Kuhn-Tucker optimality conditions is derived under some assumptions which do ...
Ibaraki, Toshihide +2 more
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Pseudoconvex and disprisoning homogeneous sprays
Geometriae Dedicata, 1995 The pseudoconvex and disprisoning conditions for geodesics of linear connections are extended to the solution curves of general homogeneous sprays. The main result is that pseudoconvexity and disprisonment are jointly stable in the fine topology on the space of all homogeneous sprays of any degree of homogeneity.
Del Riego, L., Parker, Phillip E.
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Symmetric duality for mathematical programming in complex spaces with F-convexity
, 2003 Under F-convexity, F-concavity/F-pseudoconvexity, F-pseudoconcavity, appropriate duality results for a pair of Wolfe and Mond–Weir type symmetric dual nonlinear programming problems in complex spaces are established.
Rueda, Norma G., Mishra, Shashi K.
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Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming [PDF]
, 2011 This paper is concerned with a pair of second-order mixed symmetric dual programs involving nondifferentiable functions. Weak, strong, and converse duality theorems are proved for aforementioned pair using the notion of second-order F-convexity ...
S. K. Gupta +3 more
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Generalized Pseudoconvex Functions and Multiobjective Programming
, 1997 In a recent work, cited in the Introduction, a concept of generalized pseudoconvexity was used to obtain optimality results in nonlinear programming.
Mukherjee, R.N.
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A note on the Gannon-Lee theorem. [PDF]
Lett Math Phys, 2021 Schinnerl B, Steinbauer R.
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On the maximal domains of pseudoconvexity of a quadratic fractional function
, 2010 In this paper we will characterize the maximal domains of pseudoconvexity of the ratio betwcen a quadratic function and an affine one. Furthermore, motivated by thc fact that in optimization problems the decision variables are often required to be ...
CAMBINI, ALBERTO, MARTEIN, LAURA
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The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]
Arch Ration Mech Anal, 2023 Holzegel G, Shao A.
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