no. 3
On optimality and duality in interval-valued variational problem with B ( p , r ) -invexity
RAIRO. Operations Research, Tome 55 (2021) no. 3, pp. 1909-1932

In this paper, we consider a class of interval-valued variational optimization problem. We extend the definition of B-(p, r)-invexity which was originally defined for scalar optimization problem to the interval-valued variational problem. The necessary and sufficient optimality conditions for the problem have been established under B-(p, r)-invexity assumptions. An application, showing utility of the sufficiency theorem in real-world problem, has also been provided. In addition to this, for the interval-optimization problem Mond–Weir and Wolfe type duals are presented and related duality theorems have been proved. Non-trivial examples verifying the results have also been presented throughout the paper.

DOI : 10.1051/ro/2021088
Classification : 90C30, 90C46
Keywords: Interval-valued variational problem, optimality, duality, LU optimal, $$-($$)-invexity 
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     author = {Debnath, Indira P. and Pokharna, Nisha},
     title = {On optimality and duality in interval-valued variational problem with $B (p , r)$-invexity },
     journal = {RAIRO. Operations Research},
     pages = {1909--1932},
     year = {2021},
     publisher = {EDP-Sciences},
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     number = {3},
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Debnath, Indira P.; Pokharna, Nisha. On optimality and duality in interval-valued variational problem with $B (p , r)$-invexity. RAIRO. Operations Research, Tome 55 (2021) no. 3, pp. 1909-1932. doi: 10.1051/ro/2021088

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