University of Kashan Mathematics Interdisciplinary Research 2538-3639 8 4 2023 12 01 Approximate Convexity for Set-Valued Maps 337 345 114046 10.22052/mir.2023.248235.1371 EN Zohreh Kefayati ‎Department of Pure Mathematics, ‎Imam Khomeini International University, ‎Qazvin‎, ‎Iran Morteza Oveisiha ‎Department of Pure Mathematics, ‎Imam Khomeini International University, ‎Qazvin‎, ‎Iran Journal Article 2022 08 30 ‎In this paper‎, ‎we extend the notion of approximate convexity to set-valued maps and obtain some relations between approximate convexity and approximate monotonicity of their normal subdifferential‎. Generalized convexity‎ ‎Generalized monotonicity‎ ‎Set-valued map‎ ‎Generalized subdifferential https://mir.kashanu.ac.ir/article_114046_47cb833350181c0aa5cd651bacb7891f.pdf