Skip to main content
Log in

Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space

  • Contributed Papers
  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

Abstract

The nondifferentiable optimization theory with equality and inequality constraints is extended to a multiobjective program on a Banach space. We derive generalized conditions of the Fritz-John type given by Clarke's generalized gradient formula, which are necessary for weak Pareto-optimal solutions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Minami, M.,Weak Pareto Optimality of Multiobjective Problems in a Locally Convex Linear Topological Space, Journal of Optimization Theory and Applications, Vol. 34, pp. 469–484, 1981.

    Google Scholar 

  2. Minami, M.,Weak Pareto Optimality of Multiobjective Problem in a Banach Space, Bulletin of Mathematical Statistics, Vol. 19, pp. 19–23, 1981.

    Google Scholar 

  3. Clarke, F. H.,A New Approach to Lagrange Multipliers, Mathematics of and Applications, Vol. 47, pp. 324–353, 1974.

    Google Scholar 

  4. Ekeland, I.,On the Variational Principle, Journal of Mathematical Analysis and Applications, Vol. 47, pp. 324–353, 1974.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by P. Varaiya

The author is grateful to the referee for the useful suggestions and comments.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Minami, M. Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space. J Optim Theory Appl 41, 451–461 (1983). https://doi.org/10.1007/BF00935364

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00935364

Key Words

Navigation