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3 results

Continuous selection theorem, coincidence theorem and intersection theorems concerning sets with H-convex sections
Part of
Xie-Ping Ding
Journal:

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 52 / Issue 1 / February 1992

Published online by Cambridge University Press:

09 April 2009, pp. 11-25

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February 1992
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A continuous selection and a coincidence theorem are proved in H-spaces which generalize the corresponding results of Ben-El-Mechaiekh-Deguire-Granas, Browder, Ko-Tan, Lassonde, Park, Simon and Takahashi to noncompact and/or nonconvex settings. By applying the two theorems, some intersection theorems concerning sets with H-convex sections are obtained which generalize the corresponding results of Fan, Lassonde and Shih-Tan to H-spaces. Some applications to minimax principle are given.

Matching theorems, fixed point theorems and minimax inequalities without convexity
Part of
Xie-Ping Ding, Kok-Keong Tan
Journal:

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 49 / Issue 1 / August 1990

Published online by Cambridge University Press:

09 April 2009, pp. 111-128

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August 1990
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Matching theorems, fixed point theorems and minimax inequalities are obtained in H-spaces which generalize the corresponding results of Bae-Kim-Tan, Browder, Fan, Horvath, Kim, Ko-Tan, Shih-Tan, Takahashi, Tan and Tarafdar to non-compact and/or non-convex settings.

A Note on Fixed Point Sets and Wedges
John R. Martin, Sam B. Nadler, Jr
Journal:

Canadian Mathematical Bulletin / Volume 23 / Issue 4 / 01 December 1980

Published online by Cambridge University Press:

20 November 2018, pp. 453-455

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01 December 1980
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A space Z is said to have the complete invariance property (CIP) provided that every nonempty closed subset of Z is the fixed point set of some continuous self-mapping of Z. In this paper it is shown that there exists a one-dimensional contractible planar continuum having CIP whose wedge with itself at a specified point is contractible, planar, and does not have CIP.

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3 results

Continuous selection theorem, coincidence theorem and intersection theorems concerning sets with H-convex sections

Matching theorems, fixed point theorems and minimax inequalities without convexity

A Note on Fixed Point Sets and Wedges