Coincidence type alternatives for \(\Phi\)--essential maps

Volume 9, Issue 5, pp 3031--3035 http://dx.doi.org/10.22436/jnsa.009.05.95

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Authors

Donal ORegan - School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland.

Abstract

In this paper we present some criteria for \(\Phi\)-essential maps and as a consequence these generate a number of new Leray-Schauder type alternatives.

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Keywords

• Essential maps
• coincidence points
• Leray-Schauder alternatives.

MSC

•  47H10
•  54H25.

References

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• [2] G. Gabor, L. Gorniewicz, M. Slosarski, Generalized topological essentiality and coincidence points of multivalued maps, Set-Valued Var. Anal., 17 (2009), 1-19.


• [3] A. Granas, Sur la methode de continuite de Poincare, C. R. Acad. Sci. Paris, 282 (1976), 983-985.


• [4] D. O'Regan , Coincidence methods based on essential and 0-epi maps, Acta Appl. Math., 54 (1998), 319-330.


• [5] D. O'Regan, Coincidence points for multivalued maps based on \(\Phi\)-epi and \(\Phi\)-essential maps, Dynam. Systems Appl., 24 (2015), 143-154.