Mönch type Leray--Schauder alternatives for maps satisfying weakly countable compactness conditions
Volume 19, Issue 1, pp 29--34
Publication Date: March 05, 2019
Submission Date: January 03, 2019
Revision Date: February 01, 2019
Accteptance Date: February 08, 2019
- School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland.
In this paper we discuss
weakly Mönch type maps and obtain Leray--Schauder alternatives for
Share and Cite
Donal O'Regan, Mönch type Leray--Schauder alternatives for maps satisfying weakly countable compactness conditions, Journal of Mathematics and Computer Science, 19 (2019), no. 1, 29--34
O'Regan Donal, Mönch type Leray--Schauder alternatives for maps satisfying weakly countable compactness conditions. J Math Comput SCI-JM. (2019); 19(1):29--34
O'Regan, Donal. "Mönch type Leray--Schauder alternatives for maps satisfying weakly countable compactness conditions." Journal of Mathematics and Computer Science, 19, no. 1 (2019): 29--34
- Essential maps
- fixed points
- nonlinear alternatives
- Mönch-type maps
A. Ben Amar, D. O’Regan, Topological fixed point theory for singlevalued and multivalued mappings with applications, Springer, Cham (2016)
T. Cardinali, P. Rubbioni, Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness, J. Math. Anal. Appl., 405 (2013), 409–415.
A. Granas, J. Dugundji , Fixed Point Theory, Springer-Verlag, New York (2003)
H. Mönch, Boundary value problems for nonlinear ordinary differential equations in Banach spaces, Nonlinear Anal., 4 (1980), 985–999.
D. O’Regan, Mönch type results for maps with weakly sequentially closed graphs, Dynam. Systems Appl., 24 (2015), 129–134.
D. O’Regan , Coincidence results for compositions of multivalued maps based on countable compactness principles, Applicable Analysis, 2018 (2018), 11 pages.
D. O’Regan, Maps with weakly sequentially closed graphs satisfying compactness conditions on countable sets, Pure Appl. Func. Anal., (to appear.),