On strongly generalized preinvex fuzzy mappings
type: Item
instance of: scholarly article
title: On strongly generalized preinvex fuzzy mappings
zbMATH Open document ID: 1477.26049
DOI: 10.1155/2021/6657602
author: Yanyan Li
published in: Journal of Mathematics
publication date: 2021-06-22T00:00:00Z
review text: Summary: In this article, we introduce a new notion of generalized convex fuzzy mapping known as strongly generalized preinvex fuzzy mapping on the invex set. Firstly, we have investigated some properties of strongly generalized preinvex fuzzy mapping. In particular, we establish the equivalence among the strongly generalized preinvex fuzzy mapping, strongly generalized invex fuzzy mapping, and strongly generalized monotonicity. We also prove that the optimality conditions for the sum of G-differentiable preinvex fuzzy mappings and non-G-differentiable strongly generalized preinvex fuzzy mappings can be characterized by strongly generalized fuzzy mixed variational-like inequalities, which can be viewed as a novel and innovative application. Several special cases are discussed. Results obtained in this paper can be viewed as improvement and refinement of previously known results.
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 26B25
zbMATH DE Number: 7361867
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6657602
OpenAlex ID: W3141308023
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description: scientific article; zbMATH DE number 7361867