Optimality and duality for second-order interval-valued variational problems

Dhingra, Vivek; Kailey, Navdeep

doi:10.1007/s12190-021-01657-z

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2023

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“…Aside from them, a number of other researchers are working in this field. For additional information, see [16][17][18][19][20]. In this paper be start by defining in section 2, K-G f -bonvexity as well as pseduobonvexity and construct non-trivial numerical examples for clear understanding the concept introduced by authors.…”

Section: Introductionmentioning

confidence: 99%

New Class of K-G-Type Symmetric Second Order Vector Optimization Problem

Swarup

Kumar

Dubey

et al. 2023

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In this paper, we present meanings of K-Gf-bonvexity/K-Gf-pseudobonvexity and their generalization between the above-notice functions. We also construct various concrete non-trivial examples for existing these types of functions. We formulate K-Gf-Wolfe type multiobjective second-order symmetric duality model with cone objective as well as cone constraints and duality theorems have been established under these aforesaid conditions. Further, we have validates the weak duality theorem under those assumptions. Our results are more generalized than previous known results in the literature.

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