과제정보
In this occasion, the author would like to express his sincere gratitude to Professor Jong Kyu Kim for his almost thirty years contribution to the journal Nonlinear Functional Analysis and Applications(NFAA) as Chief of Editors.
참고문헌
- K. Fan, A generalization of Tychonoff's fixed point theorem, Math. Ann., 142 (1961), 305-310. https://doi.org/10.1007/BF01353421
- P.Q. Khanh and N.H. Quan, A topological characterization of the existence of fixed points and applications, Math. Nachr., 247 (2014) 281-289.
- P.Q. Khanh and N.H. Quan. Topological-based characterizations of the existence of solutions to optimization-related problems, Math. Nachr., 288 (2015), 2057-2078. https://doi.org/10.1002/mana.201400323
- P.Q. Khanh and N.H. Quan, A unified study of existence theorems in topologically based settings and applications in optimization, Optimization, (2020), doi: 10.1080/02331934.2020.1870686.
- J. Kindler, Topological intersection theorems. Proc. Amer. Math. Soc., 117 (1993), 1003-1011. https://doi.org/10.1090/S0002-9939-1993-1127141-4
- J. Kindler, Intersection theorems and minimax theorems based on connectedness, J. Math. Anal. Appl., 178 (1993), 529-546. https://doi.org/10.1006/jmaa.1993.1323
- H. Lu, K. Zhang and R. Li, Collectively fixed point theorems in noncompact abstract convex spaces with applications, AIMS Mathematics, 6(11) (2021), 12422-12459, doi:10.3934/math.2021718.
- S. Park, On generalizations of the KKM principle on abstract convex spaces, Nonlinear Anal. Forum, 11(1) (2006), 67-77.
- S. Park, Elements of the KKM theory on abstract convex spaces, J. Korean Math. Soc., 45 (2008), 1-27. https://doi.org/10.4134/JKMS.2008.45.1.001
- S. Park, Comments on the KKM theory on φA-spaces, PanAmerican Math. J., 18(2) (2008), 61-71.
- S. Park, Generalized convex spaces, L-spaces, and F C-spaces, J. Global Optim., 45(2) (2009), 203-210. https://doi.org/10.1007/s10898-008-9363-1
- S. Park, Comments on abstract convexity structures on topological spaces, Nonlinear Anal., 72 (2010), 549-554. https://doi.org/10.1016/j.na.2009.06.100
- S. Park, The KKM principle in abstract convex spaces: Equivalent formulations and applications, Nonlinear Anal., 73 (2010), 1028-1042. https://doi.org/10.1016/j.na.2010.04.029
- S. Park, Remarks on certain coercivity in general KKM theorems, Nonlinear Anal. Forum, 16 (2011), 1-10. https://doi.org/10.15388/NA.16.1.14110
- S. Park, Abstract convex spaces, KKM spaces and φA-spaces, Nonlinear Anal. Forum, 17 (2012), 1-10. https://doi.org/10.15388/NA.17.1.14074
- S. Park, A genesis of general KKM theorems for abstract convex spaces: Revisited, J. Nonlinear Anal. Optim., 4(2) (2013), 127-132.
- S. Park, Comments on the FWC-spaces of H. Lu and J. Zhang, Nonlinear Anal. Forum, 18 (2013), 33-38.
- S. Park, A review of the KKM theory on φA-spaces or GFC-spaces, Advances in Fixed Point Theory, 3(2) (2013), 353-382.
- S. Park, A history of the KKM Theory, J. Nat. Acad. Sci., ROK, Nat. Sci. Ser., 56(2) (2017), 1-51.
- S. Park, On further examples of partial KKM spaces, J. Fixed Point Theory, 2019(10) (2019), 1-18. https://doi.org/10.1186/s13663-018-0651-2
- S. Park, Extending the realm of Horvath spaces, J. Nonlinear Convex Anal., 20(8) (2019), 1609-1621.
- S. Park, Extending KKM theory to a large scale logical system, [H.-C. Lai Issue] J. Nonlinear Convex Anal., 22(6) (2021), 1045-1055.
- S. Park, The KKM, matching, and fixed point theorems in generalized convex spaces, Nonlinear Funct. Anal. Appl., 11(1) (2006), 139-155. https://doi.org/10.1155/FPTA/2006/91397
- S. Park, Applications of the KKM principle on abstract convex minimal spaces, Nonlinear Funct. Anal. Appl., 13(2) (2008), 179-191.
- S. Park, Review of recent studies on the KKM theory, Nonlinear Funct. Anal. Appl., 17(4) (2012), 459-470. https://doi.org/10.1186/1687-1812-2012-146
- S. Park, Remarks on the KKM theory of abstract convex minimal spaces, Nonlinear Funct. Anal. Appl., 18(3) (2013), 383-395.
- S. Park, Review of recent studies on the KKM theory, II, Nonlinear Funct. Anal. Appl., 19(1) (2014), 143-155.
- S. Park, Making new KKM spaces from old, Nonlinear Funct. Anal. Appl., 20(4) (2015), 561-577.
- S. Park, Remarks on abstract convexity spaces of Xiang et al., Nonlinear Funct. Anal. Appl., 21(2) (2016), 249-261. https://doi.org/10.22771/NFAA.2016.21.02.06
- S. Park, On the n-KKM principle for abstract convex spaces, Nonlinear Funct. Anal. Appl., 22(5) (2017), 925-934. https://doi.org/10.22771/NFAA.2017.22.05.01
- S. Park, Generalizations of some KKM type results on hyperbolic spaces, Nonlinear Funct. Anal. Appl., 23(4) (2018), 805-818.
- S. Park, Best approximations for multimaps on abstract convex spaces, Nonlinear Funct. Anal. Appl., 26(1) (2021), 165-175. https://doi.org/10.22771/NFAA.2021.26.01.12