Reference health
Convexity and concavity properties of the optimal value function in parametric nonlinear programming
14/14 checkable references clean · checked 2026-09-03
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
19 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 14 checked references that resolve
resolves10.1007/BF01584336
Multivalued convexity and optimization: A unified approach to inequality and equality constraints
resolves10.1137/1013001
Duality in Nonlinear Programming: A Simplified Applications-Oriented Development
resolves10.1051/m2an/197307R100621
Brève communication. Continuité des applications linéaires multivoques
The 19 references without a DOI — listed, not checked
no DOI — not checkedBerge, G.,Topological Spaces, Macmillan, New York, New York, 1963.
no DOI — not checkedBrosowski, B.,Parametric Semi-Infinite Optimization, Verlag Peter Lang, Frankfurt am Main, Germany, 1982.
no DOI — not checkedFiacco, A. V.,Introduction to Sensitivity and Stability Analysis in Nonlinear Programming, Academic Press, New York, New York, 1983.
no DOI — not checkedMangasarian, O. L.,Nonlinear Programming, McGraw-Hill, New York, New York, 1969.
no DOI — not checkedOrtega, J. M., andRheinboldt, W. C.,Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, New York, 1970.
no DOI — not checkedAvriel, M., Diewert, W. E., Schaible, S., andZiemba, W. T.,Introduction to Concave and Generalized Concave Functions, Generalized Concavity in Optimization and Economics, Edited by S. Schaible and W. T. Ziemba, Academic Press, New York, New York, 1981.
no DOI — not checkedKyparisis, J.,Optimal Value Bounds for Posynomial Geometric Programs, The George Washington University, Institute for Management Science and Engineering, Technical Paper Serial T-464, 1982.
no DOI — not checkedEverett, H.,Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources, Operations Research, Vol. 18, pp. 107–118, 1963.
no DOI — not checkedRolewicz, S.,On Paraconvex Multifunctions, Operations Research Verfahren, Vol. 31, pp. 539–546, 1979.
no DOI — not checkedRolewicz, S.,On Graph γ-Paraconvex Multifunctions, Special Topics of Applied Mathematics, Edited by J. Frehse, D. Pallaschke, and U. Trottenberg, North-Holland, Amsterdam, Holland, 1980.
no DOI — not checkedDolecki, S.,Remarks on Semicontinuity, Bulletin de l'Académic Polonaise des Sciences, Vol. 25, pp. 863–867, 1977.
no DOI — not checkedDolecki, S.,Semicontinuity in Constrained Optimization, Part I.1, Metric Spaces; Part I.2, Normed Spaces; Part II, Optimization; Control and Cybernetics, Vol. 7, pp. 6–16, 1978; Vol. 7, pp. 18–26, 1978; and Vol. 7, pp. 51–68, 1978.
no DOI — not checkedMartos, B.,Quasi-Convexity and Quasi-Monotonocity in Nonlinear Programming, Studia Scientiarum Mathematicarum Hungarica, Vol. 2, pp. 265–273, 1967.
no DOI — not checkedLuenberger, D. G.,Optimization by Vector Space Methods, John Wiley, New York, New York, 1969.
no DOI — not checkedPol'yak, B. T.,Existence Theorems and Convergence of Minimizing Sequences in Extremum Problems with Restrictions, Soviet Mathematics, Vol. 7, pp. 72–75, 1966.
no DOI — not checkedRockafellar, R. T.,Monotone Processes of Convex and Concave Type, American Mathematical Society, Memoir No. 77, Providence, Rhode Island, 1967.
no DOI — not checkedTagawa, S.,Optimierung mit Mengenwertige Abbildungen, University of Mannheim, PhD Dissertation, 1978.
no DOI — not checkedIoffe, A. D.,Differentielles Generalisées d'Applications Localement Lipschitziennes d'un Espace de Banach dans un Autre, Comptes Rendus des Séances de l'Académie des Sciences, Vol. 289, Serie A–B, pp. 637–639, 1979.
no DOI — not checkedPenot, J. P.,Differentiability of Relations and Differential Stability of Perturbed Optimization Problems, Université de Pau, Preprint, 1982.
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