Publication Cover
Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 7
96
Views
4
CrossRef citations to date
0
Altmetric
Articles

Continuation theorems for Mönch countable compactness-type set-valued maps

Pages 1432-1439 | Received 25 Jun 2019, Accepted 08 Jul 2019, Published online: 17 Jul 2019

References

  • Mönch H. Boundary value problems for nonlinear ordinary differential equations in Banach spaces. Nonlinear Anal. 1980;4:985–999. doi: 10.1016/0362-546X(80)90010-3
  • O'Regan D, Precup R. Fixed point theorems for set-valued maps and existence principles for integral inclusions. J Math Anal Appl. 2000;245:594–612. doi: 10.1006/jmaa.2000.6789
  • Gabor G, Gorniewicz L, Slosarski M. Generalized topological essentially and coincidence points of multivalued maps. Set-Valued Var Anal. 2009;17:1–19. doi: 10.1007/s11228-009-0106-3
  • O'Regan D. Coincidence methods based on essential and 0-epi maps. Acta Appl Math. 1998;54:319–330. doi: 10.1023/A:1006189718645
  • Granas A. Sur la méthode de continuité de Poincaré. C R Acad Sci Paris. 1976;282:983–985.
  • O'Regan D. Generalized coincidence theory for set-valued maps. J Nonlinear Sci Appl. 2017;10:855–864. doi: 10.22436/jnsa.010.03.01
  • O'Regan D. Abstract Leray–Schauder type alternatives and extensions. An Stiint Univ Ovidius Constanta Ser Mat. 2019;27:233–243.
  • Gorniewicz L. Topological fixed point theory of multivalued mappings. Dordrecht: Kluwer Acad. Publishers; 1999.
  • Ding XP, Kim WK, Tan KK. A selection theorem and its applications. Bull Austral Math Soc. 1992;46:205–212. doi: 10.1017/S0004972700011849
  • Fournier G, Granas A. The Lefschetz fixed point theorem for some classes on non-metrizable spaces. J Math Pures Appl. 1973;52:271–283.
  • O'Regan D. Coincidence theory for multivalued maps satisfying compactness conditions on countable sets. Appl Anal. to appear.
  • O'Regan D. Coincidence results for compositions of multivalued maps based on countable compactness principles, submitted.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.