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.
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Suneja, S.K., Sharma, S. & Chaudhary, M. Vector optimization with generalized cone locally connected functions. OPSEARCH 55, 302–319 (2018). https://doi.org/10.1007/s12597-018-0333-1
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DOI: https://doi.org/10.1007/s12597-018-0333-1
Keywords
- Approximate solutions
- Cone locally pseudo connected functions
- Cone locally quasi connected functions
- Quasi efficient solutions
- Optimality conditions
- Approximate duality