On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty data View Full Text


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Article Info

DATE

2019-12

AUTHORS

Jing Zeng, Peng Xu, Hongyong Fu

ABSTRACT

This paper provides some new results on robust approximate optimal solutions of a fractional semi-infinite optimization problem under uncertainty data in the constraint functions. By employing conjugate analysis and robust optimization approach (worst-case approach), we obtain some necessary and sufficient optimality conditions for robust approximate optimal solutions of such a fractional semi-infinite optimization problem. In addition, we state a mixed type approximate dual problem to the reference problem and obtain some robust duality properties between them. The results obtained in this paper improve the corresponding results in the literature. More... »

PAGES

45

References to SciGraph publications

  • 2018-06. Optimality Conditions of Approximate Solutions for Nonsmooth Semi-infinite Programming Problems in JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA
  • 2018-11-02. On ϵ-solutions for robust semi-infinite optimization problems in POSITIVITY
  • 2009-05. ε-Optimality and ε-Lagrangian Duality for a Nonconvex Programming Problem with an Infinite Number of Constraints in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 2018-08. Some dual characterizations of Farkas-type results for fractional programming problems in OPTIMIZATION LETTERS
  • 2011-01. Optimality Conditions and Duality for Nondifferentiable Multiobjective Fractional Programming Problems with (C,α,ρ,d)-convexity in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 2001-09. Optimality Conditions and Duality for a Class of Nonlinear Fractional Programming Problems in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 1997-04. Asymptotic Dual Conditions Characterizing Optimality for Infinite Convex Programs in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 2009-02-25. Necessary conditions for ε-optimality in OPTIMALITY AND STABILITY IN MATHEMATICAL PROGRAMMING
  • 2015-02. Sequential Optimality Conditions for Fractional Optimization with Applications to Vector Optimization in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 2011-11. Robust Duality for Fractional Programming Problems with Constraint-Wise Data Uncertainty in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 2014-12. On ϵ-solutions for robust fractional optimization problems in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2014-03. On robust duality for fractional programming with uncertainty data in POSITIVITY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1186/s13660-019-1997-7

    DOI

    http://dx.doi.org/10.1186/s13660-019-1997-7

    DIMENSIONS

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