Browder-Fan fixed point theorem and related results

Paul Deguire

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1995)

  • Volume: 15, Issue: 2, page 149-162
  • ISSN: 1509-9407

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Paul Deguire. "Browder-Fan fixed point theorem and related results." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 15.2 (1995): 149-162. <http://eudml.org/doc/275858>.

@article{PaulDeguire1995,
author = {Paul Deguire},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {Browder-Fan fixed-point theorem},
language = {eng},
number = {2},
pages = {149-162},
title = {Browder-Fan fixed point theorem and related results},
url = {http://eudml.org/doc/275858},
volume = {15},
year = {1995},
}

TY - JOUR
AU - Paul Deguire
TI - Browder-Fan fixed point theorem and related results
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 1995
VL - 15
IS - 2
SP - 149
EP - 162
LA - eng
KW - Browder-Fan fixed-point theorem
UR - http://eudml.org/doc/275858
ER -

References

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  1. [1] H. Ben El Mechaiekh and P. Deguire, Equilibrium For Abstract Nonconvex Games, C.R. Math. Acad. Sci. Canada 27 (1) (1995), 1-6. Zbl0835.90136
  2. [2] H. Ben El Mechaiekh, P. Deguire and A. Granas, Une alternative non-linéaire en analyse convexe et applications, C.R. Acad. Sc., Série I, 294 (1982), 257-259. Zbl0521.47027
  3. [3] H. Ben El Mechaiekh, P. Deguire and A. Granas, Points fixes et coincidences pour les applications multivoques (applications de Ky Fan), C.R. Acad. Sc., Série I, 295 (1982), 337-340. Zbl0525.47042
  4. [4] H. Ben El Mechaiekh, P. Deguire and A. Granas, Points fixes et coincidences pour les applications multivoques (applications de types φ et φ*), C.R. Acad. Sc., Série I, 295 (1982), 381-384. Zbl0525.47043
  5. [5] H. Ben El Mechaiekh, P. Deguire and A. Granas, Points fixes et coincidences pour les applications multivoques (applications de types M et M*), C.R. Acad. Sc., Série I, 305 (1987), 381-384. Zbl0638.47054
  6. [6] F.E. Browder, The fixed-point theory of multi-valued mappings in topological vector spaces, Math. Ann. 177 (1968), 283-301. Zbl0176.45204
  7. [7] P. Deguire, Théorémes de coincidences, Théorie du minimax et applications, Thése de doctorat, Université de Montréal 1987. 
  8. [8] P. Deguire and M. Lassonde, Familes sélectantes, Topological Methods in Nonlinear Analysis (to appear). 
  9. [9] K. Fan, A generalization of Tychonoff's fixed-point theorem, Math. Ann. 142 (1961), 305-310. Zbl0093.36701
  10. [10] K. Fan, A minimax inequality and applications, Inequalities III, in O. Shisha (ed.) Academic Press, New York and London (1972), 103-113. 
  11. [11] D. Gale and A. Mas-Colell, An equilibrium existence theorem for a general model without ordered preferences, J. Math. Econom. 2 (1975), 9-17; Erratum ibid 6 (1979), 297-298. Zbl0324.90010
  12. [12] C. Horvath, Points fixes et coincidences dans les espaces topologiques compacts contractiles, C.R. Acad. Sc. Paris, Série II, 299 (1984), 519-521. Zbl0561.54043
  13. [13] B. Knaster, C. Kuratowski and S. Mazurkiewicz, Ein Beweis des Fixpunktsatzes für n-dimensionale Simplexe, Fund. Math. 14 (1929), 132-137. Zbl55.0972.01
  14. [14] M. Lassonde and C. Schenkel, KKM Principle, Fixed Points and Nash Equilibria, J. Math. Anal. Appl. 164 (1992), 542-548. Zbl0783.47066
  15. [15] E. Michael, Continuous selections, Ann. Math. 63 (1956), 361-382. Zbl0071.15902
  16. [16] E. Marchi, J.-E. Martinez-Legaz, A generalization of Browder's fixed point theorem and its applications, Mathematics Preprint Series No 71, Universitat de Barcelona 1989. 
  17. [17] C. Ionescu Tulcea, On the approximation of upper semi-continuous correspondences and the equilibrium of generalized games, J. Math. Anal. Appl. 136 (1988), 267-289. Zbl0685.90100
  18. [18] S. Toussaint, On the existence of equilibria in economies with infinitely many commodities and without ordered preferences, J. Econom. Theory 33 (1984), 98-115. Zbl0543.90016
  19. [19] K.K. Tan and X.Z. Yuan, Lower semicontinuity of multivalued mappings and equilibrium points, To appear in the Proceedings of the First World Congress of Non-Linear Analysts (Tampa, August 1992), Walter de Gruyter. Zbl0863.47031

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