Reference health
Generalized convexity and concavity of the optimal value function in nonlinear programming
9/9 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.
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The 9 checked references that resolve
resolves10.1007/BF00938592
Convexity and concavity properties of the optimal value function in parametric nonlinear programming
The 13 references without a DOI — listed, not checked
no DOI — not checkedM. Avriel, W.E. Diewert, S. Schaible and W.T. Ziemba, “Introduction to concave and generalized concave functions”, in; S. Schaible and W. T. Ziemba, eds.,Generalized Concavity in Optimization and Economics (Academic Press, New York, 1981) pp. 21–50.
no DOI — not checkedG. Berge,Topological Spaces (MacMillan, New York, 1963).
no DOI — not checkedB. Brosowski,Parametric Semi-Infinite Optimization (Verlag Peter Lang, Frankfurt am Main, 1982).
no DOI — not checkedW. Fenchel,Convex Cones, Sets and Functions, Lecture Notes, Princeton University (Princeton, NJ, 1953).
no DOI — not checkedA.V. Fiacco,Introduction to Sensitivity and Stability Analysis in Nonlinear Programming (Academic Press, New York, 1983).
no DOI — not checkedR. Janin, “Sur la dualite et la sensibilite dans les problemes de programmation mathematique”, Ph.D. Thesis, University of Paris (1974).
no DOI — not checkedO.L. Mangasarian, “Pseudo-convex functions”,SIAM Journal on Control 3 (1965) 281–290.
no DOI — not checkedO.L. Mangasarian,Nonlinear Programming (McGraw-Hill, New York, 1969).
no DOI — not checkedB. Martos, “Quasi-convexity and quasi-monotonicity in nonlinear programming”,Studia Scientiarum Mathematicarum Hungarica 2 (1967) 265–273.
no DOI — not checkedW. Oettli, “Optimality conditions involving generalized convex mappings”, in: S. Schaible and W.T. Ziemba, eds.,Generalized Concavity in Optimization and Economics (Academic Press, New York, 1981) pp. 227–238.
no DOI — not checkedJ.M. Ortega and W.C. Rheinboldt,Iterative Solution of Nonlinear Equations in Several Variables (Academic Press, New York, 1970).
no DOI — not checkedB.T. Pol'yak, “Existence theorems and convergence of minimizing sequences in extremum problems with restrictions”,Soviet Mathematics 7 (1966) 72–75.
no DOI — not checkedS. Tagawa, “Optimierung mit mengenwertige abbildungen” Ph.D. Thesis, University of Mannheim (1978).
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