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Equilibria for abstract economies in Hausdorff topological vector spaces

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

Abstract

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

References

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

Abstract

References

  • 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.
There are 12 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Donal O'regan 0000-0002-4096-1469

Publication Date June 15, 2022
Published in Issue Year 2022

Cite

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. June 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, no. 2 (June 2022): 54-59. https://doi.org/10.33205/cma.1102400.
EndNote O’regan D (June 1, 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, vol. 5, no. 2, pp. 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 (June 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, vol. 5, no. 2, 2022, pp. 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.