DOAJ Open Access 2024

Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions

Tareq Saeed Vinay Singh Savin Treanţă Solomon Lalmalsawma

Abstrak

In this paper, we introduce a new class of generalized (h,φ)-G-type I vector-valued functions, by combining the notions of (h,φ)-differentiable functions, G-invex functions, and type I functions. By using these new concepts, we formulate and prove the sufficient optimality conditions for the considered problem (GMP)h,φ. In addition, we investigate a dual problem of Mond–Weir type, called (GMWD)h,φ, and establish several duality results.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (4)

Tareq Saeed

Vinay Singh

Savin Treanţă

Solomon Lalmalsawma

Format Sitasi

APA MLA BibTeX

Saeed, T., Singh, V., Treanţă, S., Lalmalsawma, S. (2024). Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions. https://doi.org/10.1016/j.rico.2024.100395

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.1016/j.rico.2024.100395
Akses: Open Access ✓