The geometric vector inequality and its properties

References

• Brumelle , S. 1981 . Duality for multiple objective convex programs . Math. of Oper. Res , 6 : 159 – 172 .
   Web of Science ®Google Scholar
• Duffin , R. , Peterson , E.L. and Zener , C. 1967 . Geometric Programming – Theory and Application , New York : John Wiley & Sons .
   Google Scholar
• Ecker , J.G. 1968 . Geometric programming: duality in quadratic programming and l_p -approximation , Dissertation University of Michigan .
   Google Scholar
• Elster , R. 1990 . Geometrische Vektoroptimierung , Merseburg : Technische Hochschule . Dissertation B
   Google Scholar
• Elster , K.H. and Elster , R. 1988 . Approaches to duality of geometrical vector optimization problems , H 4 : 27 – 32 . 33. Intern. Wiss. Kolloquium der Technischen Hochschule Ilmenau
   Google Scholar
• Elster , K.H. and Elster , R. 1988 . Ein Dualitätskonzept fur geometrische Vektoroptimierungsprobleme. Wiss. Schriftenreihe der TU Chemnitz , H 2 : 3 – 12 . Karl-Marx-Stadt
   Google Scholar
• Elster K.-H. Elster R. Geometric vector optimization 1991 3 14 In: Atti del Quattordicesimo Convegno A.M.A.S.E.S., Pescara 13–15 Settembre 1990. EDI. PRESS-ROMA
   Google Scholar
• Elster K.-H. Elster R. Vector approximation problems in geometric vector Optimization 1992/93 321 342 Report 92–39 ,Delft University of Technology, 30 pp. and Optimization 27, 4
   Google Scholar
• Elster K.-H. Elster R. On a class of geometric vector optimization problems 1992 261 278 Report 92–51, Delft University of Technology, 23 pp. and Czechoslovak. Journal for OR 1, 4.
   Google Scholar
• Elster K.-H. Elster R. On a class of geometric vector approximation problems 1992 47 Report Univ. of Verona, Dept. of Mathematics
   Google Scholar
• Elster , K.H. and Erdmann. 1971 . Über das Konvexitäatsverhalten homogener Funktionen vom . Grade 1. Wiss.Z.TH Ilmenau , 17 ( 3 ) : 71 – 82 .
   Google Scholar
• Elster , K.H. , Elster , R. and Göpfert , A. 1990 . On approaches to duality theory in geometric vector . Methods of Operations Research, Anton Hain, Meisenheim/Frankfurt a.M , 60 ( 3 ) : 23 – 27 .
   Google Scholar
• Elster , R. , Gerth , C. and Göpfert , A. 1989 . Duality in geometric vector optimization , 20 ( 4 ) : 457 – 477 .
   Google Scholar
• Elster , K.H. , Reinhardt , R. , Schäuble , M. and Donath , G. 1977 . Einführung in die nichtlineare,Optimierung , Leipzig : B. G. Teubner Verlagsgesellschaft .
   Google Scholar
• Gros , C. 1978 . European J. Over. Res , 2 : 368 – 376 .
   Web of Science ®Google Scholar
• Hamala , M. 1968 . Geometric programming in terms of conjugate functions Belgium Discussion paper No.6811, ICMSCORE, de Croylaan 52, Heverlee
   Google Scholar
• Isermann , H. 1978 . “ Duality in multiple objective linear programming ” . In Multiple Criteria Problem Solving, Lect. Notes in Economics Math. Systems , Edited by: Zionts , S. Vol. 155 , Berlin : Springer Verlag . New York
   Google Scholar
• Jahn , J. 1985 . “ Scalarization in multiobjective optimization ” . In Mathematics of Multi Objective Optimization , Edited by: Serafini , P. Wien : Springer Verlag . New York
   Google Scholar
• Jahn , J. 1986 . Mathematical Vector Optimization in Partially Ordered Linear Spaces , Frankfurt : Verlag Peter Lang . a.M
   Google Scholar
• Luc , D.T. 1989 . Theory of Vector Optimization. Notes in Economics Math Systems 319 , Berlin : Springer Verlag .
   Google Scholar
• Nieuwenhuis , J.W. 1980 . Supremal points and generalized duality . Math. Operationsforsch. Statist.Ser. Optimization , 11 ( 1 ) : 41 – 59 .
   Google Scholar
• Rockafellar , R.T. 1970 . Convex Analysis , Princeton, N.J : Princeton University Press .
   Google Scholar
• Sawaragi , Y. , Nakayama , H. and Tanino , T. 1985 . Theory of Multiobjective Optimization , Orlando : Academic Press .
   Google Scholar
• Schönfeld , K.P. 1970 . Some duality theorems for the nonlinear vector maximum problem , 14 ( 1 ) : 51 – 63 . Unternehmensforschung
   Google Scholar
• Yu , P.L. 1985 . Multiple-Criteria Decision Making , London, New York : Plenum Press .
   Google Scholar