This is a preview of subscription content, log in via an institution to check access.
References
M. Avriel andI. Zang, Generalized arcwise-connected functions and characterizations of local-global minimum properties. J. Optim. Theory Appl.32, 407–425 (1980).
L. M.Blumenthal and K.Menger, Studies in geometry. San Francisco 1970.
H.Busemann and B. B.Phadke, Spaces with distinguished geodesies. Basel-New York 1987.
C.-W. Ha, Minimax and fixed point theorems. Math. Ann.248, 73–77 (1980).
P. R.Halmos, Measure Theory. Princeton 1950.
C. D.Horvath, A connectivity approach to minimax inequalities. Preprint.
I. Joó, On a fixed point theorem. Publ. Math. Debrecen36, 127–128 (1989).
D. C. Kay andE. W. Womble, Axiomatic convexity theory and relationships between the Carathéodory, Helly, and Radon numbers. Pacific J. Math.38, 471–485 (1971).
R. Khalil, Best approximation in metric spaces. Proc. Amer. Math. Soc.103, 579–586 (1988).
J. Kindler, Topological intersection theorems. Proc. Amer. Math. Soc.117, 1003–1011 (1993).
J. Kindler, Intersection theorems and minimax theorems based on connectedness. J. Math. Anal. Appl.178, 529–546 (1993).
J. Kindler andR. Trost, Minimax theorems for interval spaces. Acta Math. Hungar.54, 39–49 (1989).
J. Kindler, Intersecting sets in midset spaces. I. Arch. Math.62, 49–57 (1994).
H. Komiya, On minimax theorems without linear structure. Hiyoshi Rev. Nat. Sci. Keio Univ.8, 74–78 (1990).
V. Komornik, Minimax theorems for upper semicontinuous functions. Acta Math. Acad. Sci. Hungar.40, 159–163 (1982).
H. König, A general minimax theorem based on connectedness. Arch. Math.59, 55–64 (1992).
H.König and F.Zartmann, New versions of the minimax theorem. Preprint
J. Matoušek, Extension of Lipschitz mappings on metric trees. Comment. Math. Univ. Carolin.31, 99–104 (1990).
S. A. Naimpally, K. L. Singh andJ. H. M. Whitfield, Fixed points in convex metric spaces. Math. Japon.4, 585–597 (1984).
S.Simons, A flexible minimax theorem. Acta. Math. Hungar., to appear.
S.Simons, A general framework for minimax theorems. Paper presented at the Ttsingtau Univ. Symp., Oct. 1991.
M. Sion, On general minimax theorems. Pacific J. Math.8, 171–176 (1958).
V. P.Soltan, Introduction to the axiomatic theory of convexity (Russian). Kishinev 1984.
W. Takahashi, A convexity in metric space and nonexpansive mappings, I. Kodai Math. Sem. Rep.22, 142–149 (1970).
H. Tuy, On a general minimax theorem. Soviet Math. Dokl.15, 1689–1693 (1974).
H. Tuy, On the general minimax theorem. Colloq. Math.33, 145–158 (1975).
M. van de Vel, Binary convexities and distributive lattices. Proc. London Math. Soc.48, 1–33 (1984).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kindler, J. Intersecting sets in midset spaces. II. Arch. Math 62, 168–176 (1994). https://doi.org/10.1007/BF01198671
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01198671