KKM MAPS AND LERAY--SCHAUDER TYPE FIXED POINT THEORY

References

1. T.H. Chang, Y.Y. Huang, J.C. Jeng, Fixed point theorems for multifunctions in S--KKM class, Nonlinear Analysis. 44(2001), 1007--1017. MR1830856. Zbl 0986.47045. DOI: https://doi.org/10.1016/s0362-546x(99)00318-1.
2. T.H. Chang, C.L. Yen, KKM property and fixed point theorems, Jour. Math. Anal. Appl. 203(1996), 224--235. MR1412490. Zbl 0883.47067. DOI: https://doi.org/10.1006/jmaa.1996.0376.
3. A. Granas and J. Dugundji, Fixed Point Theory, Springer-Verlag. New York, 2003. MR1987179. Zbl 1025.47002. DOI: https://doi.org/10.1007/978-0-387-21593-8.
4. M. Furi, P. Pera, A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals, Annales Polonici Mathematici. 47(1987), 331-346. MR0927581. Zbl 0656.47052. DOI: https://doi.org/10.4064/ap-47-3-331-346.
5. D. O'Regan, Generalized Leray-Schauder principles for general classes of maps in completely regular topological spaces, Applicable Analysis. 93(2014), 1674--1690. MR3219676. Zbl 1297.47063. DOI: https://doi.org/10.1080/00036811.2013.842231.
6. D. O'Regan, A homotopy approach for maps with a continuous inclusion property, Topology and its Applications. 368(2025), Paper No. 109384, 11pp. MR4891677. Zbl 08037426. DOI: https://doi.org/10.1016/j.topol.2025.109384.