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Vector optimization with generalized cone locally connected functions

Author

Listed:
  • Surjeet Kaur Suneja

    (University of Delhi)

  • Sunila Sharma

    (University of Delhi)

  • Mamta Chaudhary

    (University of Delhi)

Abstract

In this paper properties of generalized cone locally (strictly) connected functions are studied. The concepts of cone locally (strictly) Pseudo connected and cone locally (naturally) quasi connected functions are introduced. Various interrelations between these function are discussed with the help of an example. Necessary optimality conditions are obtained for an approximate weak quasi efficient solution of a vector optimization problem over cones. Sufficient optimality conditions are also established using the above mentioned functions. Approximate Wolfe type and Mond–Weir type duals are formulated and duality theorems are proved.

Suggested Citation

  • Surjeet Kaur Suneja & Sunila Sharma & Mamta Chaudhary, 2018. "Vector optimization with generalized cone locally connected functions," OPSEARCH, Springer;Operational Research Society of India, vol. 55(2), pages 302-319, June.
    • Handle: RePEc:spr:opsear:v:55:y:2018:i:2:d:10.1007_s12597-018-0333-1
    DOI: 10.1007/s12597-018-0333-1
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    References listed on IDEAS

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    1. S. K. Suneja & S. Aggarwal & S. Davar, 2000. "Generalized Connected Functions with Respect to Cones," Journal of Optimization Theory and Applications, Springer, vol. 106(2), pages 399-410, August.
    2. Stancu-Minasian, I.M., 2006. "Optimality and duality in nonlinear programming involving semilocally B-preinvex and related functions," European Journal of Operational Research, Elsevier, vol. 173(1), pages 47-58, August.
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