A steepest descent method for vector optimization

[1]  A. M. Geoffrion.  Proper efficiency and the theory of vector maximization , 1968 .

[2]  Yu. M. Ermol’ev.  On the method of generalized stochastic gradients and quasi-Féjer sequences , 1969 .

[3]  L. Lasdon,et al.  On a bicriterion formation of the problems of integrated system identification and system optimization , 1971 .

[4]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.

[5]  G. W. Evans,et al.  An Overview of Techniques for Solving Multiobjective Mathematical Programs , 1984 .

[6]  Juhani Koski,et al.  Multicriteria Design Optimization , 1990 .

[7]  J. Hiriart-Urruty,et al.  Convex analysis and minimization algorithms , 1993 .

[8]  W. Oettli,et al.  From optimization and variational inequalities to equilibrium problems , 1994 .

[9]  Marc Teboulle,et al.  Entropy-Like Proximal Methods in Convex Programming , 1994, Math. Oper. Res..

[10]  K. Miettinen,et al.  Interactive bundle-based method for nondifferentiable multiobjeective optimization: nimbus § , 1995 .

[11]  Justo Puerto,et al.  Planar point-objective location problems with nonconvex constraints: A geometrical construction , 1995, J. Glob. Optim..

[12]  A. Iusem,et al.  Full convergence of the steepest descent method with inexact line searches , 1995 .

[13]  J. Dennis,et al.  A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems , 1997 .

[14]  J. B. G. Frenk,et al.  Dominating Sets for Convex Functions with Some Applications , 1998 .

[15]  D. J. White,et al.  Epsilon-dominating solutions in mean-variance portfolio analysis , 1998, Eur. J. Oper. Res..

[16]  Kaisa Miettinen,et al.  Nonlinear multiobjective optimization , 1998, International series in operations research and management science.

[17]  John E. Dennis,et al.  Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems , 1998, SIAM J. Optim..

[18]  Jörg Fliege,et al.  Steepest descent methods for multicriteria optimization , 2000, Math. Methods Oper. Res..

[19]  C. Tammer,et al.  Theory of Vector Optimization , 2003 .

[20]  Charalambos D. Aliprantis,et al.  Equilibrium analysis in financial markets with countably many securities , 2004 .

[21]  Charalambos D. Aliprantis,et al.  General equilibrium analysis in ordered topological vector spaces , 2004 .