Title | Generalized Convexity and Fractional Programming with Economic Applications [electronic resource] : Proceedings of the International Workshop on "Generalized Concavity, Fractional Programming and Economic Applications" Held at the University of Pisa, Italy, May 30 - June 1, 1988 / edited by Alberto Cambini, Erio Castagnoli, Laura Martein, Piera Mazzoleni, Siegfried Schaible |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1990 |
Connect to | http://dx.doi.org/10.1007/978-3-642-46709-7 |
Descript | VII, 361 p. online resource |
I. Generalized Convexity -- to generalized convexity -- Structural developments of concavity properties -- Projectively-convex models in economics -- Convex directional derivatives in optimization -- Differentiable (? , ?)-concave functions -- On the bicriteria maximization problem -- II. Fractional Programming -- Fractional programming โ some recent results -- Recent results in disjunctive linear fractional programming -- An interval-type algorithm for generalized fractional programming -- A modified Kelleyโs cutting plane algorithm for some special nonconvex problems -- Equivalence and parametric analysis in linear fractional programming -- Linear fractional and bicriteria linear fractional programs -- III. Duality and Conjugation -- Generalized conjugation and related topics -- On strongly convex and paraconvex dualities -- Generalized convexity and fractional optimization -- Duality in multiobjective fractional programming -- An approach to Lagrangian duality in vector optimization -- Rubinstein Duality Scheme for Vector Optimization -- IV. Applications of Generalized Convexity in Management Science and Economics -- Generalized convexity in economics: some examples -- Log-Convexity and Global Portfolio Immunization -- Improved analysis of the generalized convexity of a function in portfolio theory -- On some fractional programming models occurring in minimum-risk problems -- Quasi convex lower level problem and applications in two level optimization -- Problems of convex analysis in economic dynamical models -- Recent bounds in coding using programming techniques -- Logical aspects concerning Shephardโs axioms of production theory -- Contributing Authors