Research Article

KKM type maps and collectively coincidence theory

Volume: 8 Number: 4 December 15, 2025

KKM type maps and collectively coincidence theory

Abstract

In this paper, we present some properties of KKM maps and then use them to obtain a variety of collectively coincidence results for multivalued maps.

Keywords

References

  1. C. D. Aliprantis, K. C. Border: Infinite dimensional analysis, Springer Verlag, Berlin (1994).
  2. H. Ben-El-Mechaiekh, P. Deguire and A. Granas: Points fixes et coincidences pour les applications multivoques II (Applications de type Φ and Φ⋆), C.R. Acad. Sc., 295 (1982), 381–384.
  3. T. H. Chang, Y. Y. Huang, J. C. Jeng, T. H. Chang and K. H. Kuo: On S–KKM property and related topics, J. Math. Anal. Appl., 229 (1999), 212–227.
  4. T. H. Chang, Y. Y. Huang and J. C. Jeng: Fixed point theorems for multifunctions in S–KKM class, Nonlinear Anal., 44 (2001), 1007–1017.
  5. T. H. Chang, C. L. Yen: KKM property and fixed point theorems, J. Math. Anal. Appl., 203 (1996), 224–235.
  6. P. Deguire, M. Lassonde: Familles sélectantes, Topological Methods in Nonlinear Anal., 5 (1995), 261–269.
  7. X. P. Ding, W. K. Kim and K. K. Tan: A selection theorem and its applications, Bulletin Australian Math. Soc., 46 (1992), 205–212.
  8. R. Engelking: General Topology, Heldermann Verlag, Berlin (1989).

Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Early Pub Date

December 9, 2025

Publication Date

December 15, 2025

Submission Date

August 21, 2025

Acceptance Date

December 3, 2025

Published in Issue

Year 2025 Volume: 8 Number: 4

APA
O’regan, D. (2025). KKM type maps and collectively coincidence theory. Constructive Mathematical Analysis, 8(4), 176-186. https://doi.org/10.33205/cma.1769838
AMA
1.O’regan D. KKM type maps and collectively coincidence theory. CMA. 2025;8(4):176-186. doi:10.33205/cma.1769838
Chicago
O’regan, Donal. 2025. “KKM Type Maps and Collectively Coincidence Theory”. Constructive Mathematical Analysis 8 (4): 176-86. https://doi.org/10.33205/cma.1769838.
EndNote
O’regan D (December 1, 2025) KKM type maps and collectively coincidence theory. Constructive Mathematical Analysis 8 4 176–186.
IEEE
[1]D. O’regan, “KKM type maps and collectively coincidence theory”, CMA, vol. 8, no. 4, pp. 176–186, Dec. 2025, doi: 10.33205/cma.1769838.
ISNAD
O’regan, Donal. “KKM Type Maps and Collectively Coincidence Theory”. Constructive Mathematical Analysis 8/4 (December 1, 2025): 176-186. https://doi.org/10.33205/cma.1769838.
JAMA
1.O’regan D. KKM type maps and collectively coincidence theory. CMA. 2025;8:176–186.
MLA
O’regan, Donal. “KKM Type Maps and Collectively Coincidence Theory”. Constructive Mathematical Analysis, vol. 8, no. 4, Dec. 2025, pp. 176-8, doi:10.33205/cma.1769838.
Vancouver
1.Donal O’regan. KKM type maps and collectively coincidence theory. CMA. 2025 Dec. 1;8(4):176-8. doi:10.33205/cma.1769838