Strong M-Convexity of Set-Valued Functions

• Autorzy: Teodoro Lara , Nelson Merentes , Roy Quintero , Edgar Rosales
• Języki publikacji: EN

Abstrakty

EN

In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also exhibited(original abstract)

Słowa kluczowe

EN

Mathematics; Mathematical analysis; Mathematical functions

PL

Matematyka; Analiza matematyczna; Funkcje matematyczne

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2023
• Tom: 37 (1)
• Strony: 82--94

Twórcy

autor

Teodoro Lara

• Universidad de los Andes Núcleo "Rafael Rangel" Trujillo Venezuela

autor

Nelson Merentes

• The Central University of Venezuela, Venezuela

autor

Roy Quintero

• Northern Illinois University DeKalb USA

autor

Edgar Rosales

• University of the Andes, Venezuela

Bibliografia

• Lara T.,Merentes N., Páles Z., Quintero R., and Rosales E., On m-convexity on real linear spaces, UPI J. Math. Biostat. 1 (2018), no. 2, JMB8, 16 pp.
• Lara T., Merentes N., Quintero R. , and Rosales E., On strongly m-convex funtions, Math. Æterna 5 (2015), no. 3, 521-535.
• Lara T., Merentes N., Quintero, R. and Rosales E., On m-convexity of set-valued functions, Adv. Oper. Theory 4 (2019), no. 4, 767-783.
• Leiva H., Merentes N., Nikodem K., and Sánchez J.L. , Strongly convex set-valued maps, J. Global Optim. 57 (2013), no. 3, 695-705.
• Toader G., Some generalizations of the convexity, in: I. Muruşciac and W.W. Breckner (eds.), Proceedings of the Colloquium on Approximation and Optimization, Univ. ClujNapoca, Cluj-Napoca, 1985, pp. 329-338.
• Toader G., On a generalization of the convexity, Mathematica (Cluj) 30(53) (1988), no. 1, 83-87.
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Identyfikatory

DOI

10.2478/amsil-2023-0003