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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 73, 2024 - Issue 6
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Research Article

Characterization of certain fractional-type set-valued functions

A. Orzana Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania;b Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, RomaniaCorrespondence[email protected] [email protected]
&
N. Popovicia Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, RomaniaORCID Iconhttps://orcid.org/0000-0002-1842-6005
ORCID Icon
Pages 1767-1779 | Received 26 Sep 2022, Accepted 23 Jan 2023, Published online: 03 Feb 2023

References

  • Bhatia D, Mehra A. Fractional programming involving set-valued functions. Indian J Pure Appl Math. 1998;29:525–539.
  • Cambini A, Martein L. Generalized convexity and otimization: theory and applications. Berlin: Springer; 2009.
  • Göpfert A, Riahi H, Tammer C, et al. Variational methods in partially ordered spaces. New York (NY): Springer; 2003.
  • Khan AA, Tammer C, Zălinescu C. Set-valued optimization: an introduction with applications. Heidelberg: Springer; 2015.
  • Stancu-Minasian IM. Fractional programming. theory, methods and applications. Dordrecht: Kluwer; 1997.
  • Orzan A, Popovici N. Convexity-preserving properties of set-valued ratios of affine functions. Stud Univ Babeş -Bolyai Math. 2023;66:591–602.
  • Orzan A. A new class of fractional type set-valued functions. Carpathian J Math. 2009;35:79–84.
  • Rothblum UG. Ratios of affine functions. Math Program. 1985;32:357–365.
  • Tan DH. A note on multivalued affine mappings. Stud Univ Babeş -Bolyai Math. 1988;33:55–59.
  • Gorokhovik VV. Representations of affine multifunctions by affine selections. Set-Valued Anal. 2008;16:185–198.
  • Aubin JP, Frankowska H. Set-valued analysis. Boston (MA): Birkhäuser; 1990.
  • Kassay G, Rădulescu VD. Equilibrium problems and applications. London): Elsevier/Academic Press; 2019.
  • Rockafellar RT. Convex analysis. Princeton (NJ): Princeton University Press; 1970.
  • Das K, Nahak C. Set-valued fractional programming problems under generalized cone convexity. Opsearch. 2016;53:157–177.
  • Deutsch F, Singer I. On single-valuedness of convex set-valued maps. Set-Valued Anal. 1993;1:97–103.
  • Nikodem K, Popa D. On single-valuedness of set-valued maps satisfying linear inclusions. Banach J Math Anal. 2009;3:44–51.
  • Kuroiwa D, Popovici N, Rocca M. A characterization of cone-convexity for set-valued functions by cone-quasiconvexity. Set-Valued Var Anal. 2015;23:295–304.
  • Nikodem K. K-convex and K-concave set-valued functions. L o´dz (PL): Zeszyty Nauk. Politech. L o´dz. Mat. 559, Rozprawy Nauk. 114; 1989.

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