Abstract
We establish a Monch type generalization of the Eilenberg-Montgomery fixed point theorem for multi-valued maps with acyclic values.
Authors
Radu Precup
Babeş-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania
Keywords
Fixed point; acyclic set; multi-valued map.
Cite this paper as:
R. Precup, A Monch type generalization of the Eilenberg-Montgomery fixed point theorem, Seminar on Fixed Point Theory Cluj-Napoca, 1 (2000), 69-72.
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Seminar on Fixed Point Theory Cluj-Napoca minar on Fixed Point Theory Cluj-Napoca
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References
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[2] P.M. Fitzpatrik and W.V. Petryshyn, Fixed point theorems for multivalued noncompact acyclic mappings. Pacific J. Math. 54 (1974), 17-23.
[3] S. Hu and N.S. Papageorgiou, Handbook of Multivalued Analysis, vol. I: Theory, Kluwer Academic Publishers, Dordrecht-Boston-London, 1997.
[4. D. O’Regan and R.Precup, Fixed point theorems for set-valued maps and existence principles for integral inclusions, J. Math. Anal. Appl. 245 (2000), 594-612.