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On a Class of Nondifferentiable Multiobjective Continuous Programming Problems

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Proceedings of the Third International Conference on Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 259))

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Abstract

Fritz John and Karush-Kuhn-Tucker type optimality conditions for a nondifferentiable multiobjective variational problem with equality and inequality constraints are obtained. Using Karush-Kuhn-Tucker type optimality conditions, a Wolfe type second-order nondifferentiable multiobjective dual variational problem is constructed. Various duality results for the pair of Wolfe type second-order dual variational problems are proved under second-order pseudoinvexity. A pair of Wolfe type dual variational problems having equality and inequality constraints with natural boundary values is also formulated to prove various duality results. Finally, the linkage between our results and those of their static counterparts existing in the literature is briefly outlined.

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References

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Authors and Affiliations

  1. Department of Mathematics, Jaypee University of Engineering and Technology, Guna, Madhya Pradesh, India

    Iqbal Husain & Vikas Kumar Jain

Authors
  1. Iqbal Husain
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  2. Vikas Kumar Jain
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Corresponding author

Correspondence to Iqbal Husain .

Editor information

Editors and Affiliations

  1. Department of Paper Technology, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Millie Pant

  2. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  3. Department of Mathematics and Computer Science, Liverpool Hope University, Liverpool, United Kingdom

    Atulya Nagar

  4. Department of Applied Mathematics, South Asian University, New Delhi, India

    Jagdish Chand Bansal

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Husain, I., Jain, V.K. (2014). On a Class of Nondifferentiable Multiobjective Continuous Programming Problems. In: Pant, M., Deep, K., Nagar, A., Bansal, J. (eds) Proceedings of the Third International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 259. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1768-8_73

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  • DOI: https://doi.org/10.1007/978-81-322-1768-8_73

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1767-1

  • Online ISBN: 978-81-322-1768-8

  • eBook Packages: EngineeringEngineering (R0)

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