Araştırma Makalesi
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Equilibria for abstract economies in Hausdorff topological vector spaces

Yıl 2022, , 54 - 59, 15.06.2022
https://doi.org/10.33205/cma.1102400

Öz

In this paper using new fixed point results of the author, we establish a variety of existence results for equilibria for abstract economies.

Kaynakça

  • R. P. Agarwal, D. O’Regan: A note on equilibria for abstract economies, Mathematical and Computer Modelling, 34 (2001), 331–343.
  • X. P. Ding, W. K. Kim and K. K. Tan: A selection theorem and its applications, Bulletin Australian Math. Soc., 46 (1992), 205–212.
  • C. D. Horvath: Contractibility and generalized convexity, Jour. Math. Anal. Appl., 156 (1991), 341–357.
  • L. J. Lim, S. Park and Z. T. Yu: Remarks on fixed points, maximal elements and equilibria of generalized games, Jour. Math. Anal. Appl., 233 (1999), 581–596.
  • G. Mehta, K. K. Tan and X. Y. Yuan: Fixed points, maximal elements and equilibia of generalized games, Nonlinear Analysis, 28 (1997), 689–699.
  • E. Tarafdar: A fixed point theorem and equilibrium point in abstract economy, J. Math. Econom., 20 (1991), 211–218.
  • D. O’Regan: Deterministic and random fixed points for maps on extension type spaces, Applicable Analysis, 97 (2018), 1960–1966.
  • D. O’Regan: Collectively fixed point theory in the compact and coercive cases, Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 30 (2022), 193–207.
  • D. O’Regan: A note on collectively fixed and coincidence points, submitted.
  • D. O’Regan: Maximal elements for Kakutani maps, Journal of Mathematics and Computer Science, 27 (2022), 77–85.
  • K. K. Tan, X. Z. Yuan: Maximal elements and equilibria for U–majorised preferences, Bull. Austral. Math. Soc., 49 (1994), 47–54.
  • N. Yannelis, N. Prabhaker: Existence of maximal elements and equilibria in linear topological spaces, J. Math. Econom., 12 (1983), 233–246.
Yıl 2022, , 54 - 59, 15.06.2022
https://doi.org/10.33205/cma.1102400

Öz

Kaynakça

  • R. P. Agarwal, D. O’Regan: A note on equilibria for abstract economies, Mathematical and Computer Modelling, 34 (2001), 331–343.
  • X. P. Ding, W. K. Kim and K. K. Tan: A selection theorem and its applications, Bulletin Australian Math. Soc., 46 (1992), 205–212.
  • C. D. Horvath: Contractibility and generalized convexity, Jour. Math. Anal. Appl., 156 (1991), 341–357.
  • L. J. Lim, S. Park and Z. T. Yu: Remarks on fixed points, maximal elements and equilibria of generalized games, Jour. Math. Anal. Appl., 233 (1999), 581–596.
  • G. Mehta, K. K. Tan and X. Y. Yuan: Fixed points, maximal elements and equilibia of generalized games, Nonlinear Analysis, 28 (1997), 689–699.
  • E. Tarafdar: A fixed point theorem and equilibrium point in abstract economy, J. Math. Econom., 20 (1991), 211–218.
  • D. O’Regan: Deterministic and random fixed points for maps on extension type spaces, Applicable Analysis, 97 (2018), 1960–1966.
  • D. O’Regan: Collectively fixed point theory in the compact and coercive cases, Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 30 (2022), 193–207.
  • D. O’Regan: A note on collectively fixed and coincidence points, submitted.
  • D. O’Regan: Maximal elements for Kakutani maps, Journal of Mathematics and Computer Science, 27 (2022), 77–85.
  • K. K. Tan, X. Z. Yuan: Maximal elements and equilibria for U–majorised preferences, Bull. Austral. Math. Soc., 49 (1994), 47–54.
  • N. Yannelis, N. Prabhaker: Existence of maximal elements and equilibria in linear topological spaces, J. Math. Econom., 12 (1983), 233–246.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Donal O'regan 0000-0002-4096-1469

Yayımlanma Tarihi 15 Haziran 2022
Yayımlandığı Sayı Yıl 2022

Kaynak Göster

APA O’regan, D. (2022). Equilibria for abstract economies in Hausdorff topological vector spaces. Constructive Mathematical Analysis, 5(2), 54-59. https://doi.org/10.33205/cma.1102400
AMA O’regan D. Equilibria for abstract economies in Hausdorff topological vector spaces. CMA. Haziran 2022;5(2):54-59. doi:10.33205/cma.1102400
Chicago O’regan, Donal. “Equilibria for Abstract Economies in Hausdorff Topological Vector Spaces”. Constructive Mathematical Analysis 5, sy. 2 (Haziran 2022): 54-59. https://doi.org/10.33205/cma.1102400.
EndNote O’regan D (01 Haziran 2022) Equilibria for abstract economies in Hausdorff topological vector spaces. Constructive Mathematical Analysis 5 2 54–59.
IEEE D. O’regan, “Equilibria for abstract economies in Hausdorff topological vector spaces”, CMA, c. 5, sy. 2, ss. 54–59, 2022, doi: 10.33205/cma.1102400.
ISNAD O’regan, Donal. “Equilibria for Abstract Economies in Hausdorff Topological Vector Spaces”. Constructive Mathematical Analysis 5/2 (Haziran 2022), 54-59. https://doi.org/10.33205/cma.1102400.
JAMA O’regan D. Equilibria for abstract economies in Hausdorff topological vector spaces. CMA. 2022;5:54–59.
MLA O’regan, Donal. “Equilibria for Abstract Economies in Hausdorff Topological Vector Spaces”. Constructive Mathematical Analysis, c. 5, sy. 2, 2022, ss. 54-59, doi:10.33205/cma.1102400.
Vancouver O’regan D. Equilibria for abstract economies in Hausdorff topological vector spaces. CMA. 2022;5(2):54-9.