Equilibria for abstract economies in Hausdorff topological vector spaces

Yıl 2022, Cilt: 5 Sayı: 2, 54 - 59, 15.06.2022

Donal O'regan

https://doi.org/10.33205/cma.1102400

Cited By: 1

Öz

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

Anahtar Kelimeler

Fixed points, equilibria, 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.