Lefschetz admissible dominated spaces for maps with an inclusion property

Authors

DOI:

https://doi.org/10.24193/subbmath.2025.4.12

Keywords:

fixed points, set-valued maps, admissible spaces

Abstract

We consider the notion of a Lefschetz admissible dominated space and we present some fixed point results for compact maps with a selection property.

References

Agarwal, R.P., O'Regan, *Fixed point theory for maps with lower semicontinuous selections and equilibrium theory for abstract economies*, J. Nonlinear Convex Anal., 2(2001), 31-46.

Ben-El-Mechaiekh. H., *The coincidence problem for compositions of set valued maps*, Bull. Austral. Math. Soc., **41** (1990), 421–434.

Ben-El-Mechaiekh, H., *Spaces and maps approximation and fixed points*, J. Comput. Appl. Math., **113** (2000), 283-308.

Ding, X.P., Kim, W.K., Tan, K.K., *A selection theorem and its applications*, Bull. Australian Math. Soc., **46** (1992), 205–212.

Engelking, R., *General Topology*, Heldermann Verlag, Berlin, 1989.

Fournier, G., L. Gorniewicz, L., *The Lefschetz fixed point theorem for multi-valued maps of non metrizable spaces*, Fundamenta Math., **92** (1976), 213-222.

Gorniewicz, L., *Topological fixed point theory of multivalued mappings*, Kluwer Acad. Publishers, Dordrecht, 1991.

He, W., Yannelis, N.C., *Equilibria with discontinuous preferences: new fixed point theorems*, J. Math. Anal. Appl., **450** (2017), 1421-1433.

Kelley, J.L., *General Topology*, D.Van Nostrand, New York, 1955.

Khan, M.A., McLean, R.P., Uyanik, M., *On equilibria in constrained generalized games with the weak continuous inclusion property*, J. Math. Anal. Appl., **537** (2024), Art. No. 128258, 19pp.

Lin, L.J., Park, S.,Yu, Z.T., *Remarks on fixed points, maximal elements and equilibria of generalized games*, J. Math. Anal. Appl., **233** (1999), 581-596.

Michael, E., *Continuous selections I*, Ann. of Math., **63** (1956), 361–382.

O'Regan, D., *A note on maps with upper semicontinuous selections on extension type spaces*, submitted.

O'Regan, D., *Fixed point theory for compact absorbing contractions in extension type spaces*, CUBO, A Mathematical Journal, **12** (2010), 199-215.

Park, S., *Coincidence theorems for the better admissible multimaps and their applications*, Nonlinear Anal., **30** (1997), 4183–4191.

Powers, M.J., *Multi-valued mappings and Lefschetz fixed point theorems*, Proc. Camb. Phil. Soc., **68** (1970), 619–630.

Scalzo, V., *Existence of doubly strong equilibria in generalized games and quasi-Ky Fan minimax inequalities*, J. Math. Anal. Appl., **514** (2022), Art. No. 126258, 11pp.

Wu, X., *A new fixed point theorem and its applications*, Proc. Amer. Math. Soc., **125** (1997), 1779–1783.

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Published

2025-12-04

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