Topological Transversality Principles and General Coincidence Theory

.blurhash-client-img { display: none !important; }

Open Access

|Sep 2017

Abstract

This paper presents general topological coincidence principles for multivalued maps defined on subsets of completely regular topological spaces.

[1]. L. Gorniewicz, Topological _xed point theory of multivalued map- pings, Kluwer Acad. Publishers, Dordrecht, 1999.10.1007/978-94-015-9195-9_3
Search in Google Scholar Back to article
[2]. A. Granas and J. Dugundji, Fixed Point Theory, Springer-Verlag, New York, 2003.10.1007/978-0-387-21593-8
Search in Google Scholar Back to article
[3]. D. O’Regan, A uni_ed theory for homotopy principles for multimaps, Applicable Analysis, 92(2013), 1944{1958.10.1080/00036811.2012.711822
Open DOI Search in Google Scholar Back to article
[4]. D. O’Regan, Continuation principles based on essential maps and topological degree, Applicable Analysis, 94(2015), 1032{1041.10.1080/00036811.2014.915522
Search in Google Scholar Back to article
[5]. D. O’Regan, Generalized coincidence theory for set-valued maps, Journal of Nonlinear Science and Applications, 10(2017), 855{864.10.22436/jnsa.010.03.01
Search in Google Scholar Back to article
[6]. D.O’Regan and R. Precup, Theorems of Leray-Schauder Type and Applications, Taylor and Francis Publishers, London, 2002.
Search in Google Scholar Back to article
[7]. R. Precup, On the topological transversality principle, Nonlinear Anal., 20(1993), 1{9.10.1016/0362-546X(93)90181-Q
Search in Google Scholar Back to article

DOI: https://doi.org/10.1515/auom-2017-0027 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

Language: English

Page range: 159 - 170

Submitted on: Feb 1, 2016

Accepted on: May 1, 2016

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Related subjects:

© 2017 Donal O’Regan, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.