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1

Geometric Properties, Minimax Inequalities, and Fixed Point Theorems on Convex Spaces

Sehie Park, Jong Sook Bae and Hoo Kyung Kang

Journal:

Proceedings of the American Mathematical Society

Year:

1994

Language:

english

File:

PDF, 295 KB

english, 1994

2

The KKM principle implies many fixed point theorems

Journal:

Topology and its Applications

Year:

2004

Language:

english

File:

PDF, 179 KB

english, 2004

3

Generalizations of Ky Fan's matching theorems and their applications

Journal:

Journal of Mathematical Analysis and Applications

Year:

1989

Language:

english

File:

PDF, 587 KB

english, 1989

4

On generalizations of the Meir-Keeler type contraction maps

B.E Rhoades, Sehie Park, Kwon Bai Moon

Journal:

Journal of Mathematical Analysis and Applications

Year:

1990

Language:

english

File:

PDF, 603 KB

english, 1990

5

Equilibrium existence theorems in KKM spaces

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2008

Language:

english

File:

PDF, 632 KB

english, 2008

6

On the von Neumann–Sion minimax theorem in KKM spaces

Journal:

Applied Mathematics Letters

Year:

2010

Language:

english

File:

PDF, 251 KB

english, 2010

7

The Fan minimax inequality implies the Nash equilibrium theorem

Journal:

Applied Mathematics Letters

Year:

2011

Language:

english

File:

PDF, 221 KB

english, 2011

8

Generalized variational inequalities and fixed point theorems

Sehie Park, Byung Gai Kang

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1998

Language:

english

File:

PDF, 703 KB

english, 1998

9

Fixed point theorems in hyperconvex metric spaces

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1999

Language:

english

File:

PDF, 63 KB

english, 1999

10

Compact Browder maps and equilibria of

Journal:

Journal of Applied Mathematics and Computing

Year:

2008

Language:

english

File:

PDF, 268 KB

english, 2008

11

Evolution of the 1984 KKM theorem of Ky Fan

Journal:

Fixed Point Theory and Applications

Year:

2012

Language:

english

File:

PDF, 238 KB

english, 2012

12

Geometric properties, minimax inequalities, and fixed point theorems on convex spaces

Park, Sehie, Bae, Jong Sook, Kang, Hoo Kyung

Journal:

Proceedings of the American Mathematical Society

Year:

1994

Language:

english

File:

PDF, 1.05 MB

english, 1994

13

A General Coincidence Theorem on Contractible Spaces

Sehie Park and Kwang Sik Jeong

Journal:

Proceedings of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 160 KB

english, 1996

14

Remarks on Extensions of the Himmelberg Fixed Point Theorem

Komiya, Hidetoshi, Park, Sehie

Journal:

Fixed Point Theory and Applications

Year:

2006

Language:

english

File:

PDF, 131 KB

english, 2006

15

Some Fixed Point Theorems for Composites of Acyclic Maps

Sehie Park, S. P. Singh and Bruce Watson

Journal:

Proceedings of the American Mathematical Society

Year:

1994

Language:

english

File:

PDF, 224 KB

english, 1994

16

Fixed Points of Approximable Maps

Journal:

Proceedings of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 193 KB

english, 1996

17

10.1090/s0002-9939-96-03512-5

Journal:

Proceedings of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 222 KB

english, 1996

18

Fixed points of $f$-contractive maps

Journal:

Rocky Mountain Journal of Mathematics

Year:

1978

Language:

english

File:

PDF, 642 KB

english, 1978

19

Evolution of the Minimax Inequality of Ky Fan

Journal:

Journal of Operators

Year:

2013

Language:

english

File:

PDF, 1.91 MB

english, 2013

20

Coincidence Theorems for Admissible Multifunctions on Generalized Convex Spaces

Sehie Park, Hoonjoo Kim

Journal:

Journal of Mathematical Analysis and Applications

Year:

1996

Language:

english

File:

PDF, 181 KB

english, 1996

21

Foundations of the KKM Theory on Generalized Convex Spaces

Sehie Park, Hoonjoo Kim

Journal:

Journal of Mathematical Analysis and Applications

Year:

1997

Language:

english

File:

PDF, 273 KB

english, 1997

22

An Application of a Browder-Type Fixed Point Theorem to Generalized Variational Inequalities

Sehie Park, Sangho Kum

Journal:

Journal of Mathematical Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 135 KB

english, 1998

23

Approximation and Fixed-Point Theorems for Condensing Composites of Multifunctions

Tzu-Chu Lin, Sehie Park

Journal:

Journal of Mathematical Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 129 KB

english, 1998

24

On Some Generalized Quasi-Equilibrium Problems

Lai-Jiu Lin, Sehie Park

Journal:

Journal of Mathematical Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 167 KB

english, 1998

25

Remarks on Fixed Points, Maximal Elements, and Equilibria of Generalized Games

Lai-Jiu Lin, Sehie Park, Zenn-Tsuen Yu

Journal:

Journal of Mathematical Analysis and Applications

Year:

1999

Language:

english

File:

PDF, 120 KB

english, 1999

26

Fixed Points of Lower Semicontinuous Multimaps in LC-Metric Spaces

Journal:

Journal of Mathematical Analysis and Applications

Year:

1999

Language:

english

File:

PDF, 79 KB

english, 1999

27

On the ray-walker extension of the Caristi-Kirk fixed point theorem

Sehie Park, Jong Sook Bae

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1985

Language:

english

File:

PDF, 102 KB

english, 1985

28

On generalized ordering principles in nonlinear analysis

Byung Gai Kang, Sehie Park

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1990

Language:

english

File:

PDF, 523 KB

english, 1990

29

Acyclic maps, minimax inequalities and fixed points

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1995

Language:

english

File:

PDF, 313 KB

english, 1995

30

On solutions of generalized complementarity and eigenvector problems

Jinlu Li, Sehie Park

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2006

Language:

english

File:

PDF, 150 KB

english, 2006

31

Generalizations of the Krasnoselskii fixed point theorem

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2007

Language:

english

File:

PDF, 251 KB

english, 2007

32

The KKM principle in abstract convex spaces: Equivalent formulations and applications

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2010

Language:

english

File:

PDF, 407 KB

english, 2010

33

Remarks on some basic concepts in the KKM theory

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2011

Language:

english

File:

PDF, 269 KB

english, 2011

34

New generalizations of basic theorems in the KKM theory

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2011

Language:

english

File:

PDF, 250 KB

english, 2011

35

Comments on collectively fixed points in generalized convex spaces

Journal:

Applied Mathematics Letters

Year:

2005

Language:

english

File:

PDF, 157 KB

english, 2005

36

Comments on some fixed point theorems in hyperconvex metric spaces

Jeong-Heon Kim, Sehie Park

Journal:

Journal of Mathematical Analysis and Applications

Year:

2004

Language:

english

File:

PDF, 201 KB

english, 2004

37

Fixed point theorems for better admissible multimaps on almost convex sets

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 163 KB

english, 2007

38

Recent results in analytical fixed point theory

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2005

Language:

english

File:

PDF, 130 KB

english, 2005

39

Applications of Michael's selection theorems to fixed point theory

Journal:

Topology and its Applications

Year:

2008

Language:

english

File:

PDF, 147 KB

english, 2008

40

Remarks on equilibria for g-monotone maps on generalized convex spaces

Journal:

Journal of Mathematical Analysis and Applications

Year:

2002

Language:

english

File:

PDF, 100 KB

english, 2002

41

Fixed point theorems in locally G-convex spaces

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2002

Language:

english

File:

PDF, 102 KB

english, 2002

42

New topological versions of the Fan–Browder fixed point theorem

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2001

File:

PDF, 664 KB

2001

43

Almost fixed points of multimaps having totally bounded ranges

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2002

Language:

english

File:

PDF, 93 KB

english, 2002

44

Remarks on generalized quasi-equilibrium problems

Ming-Po Chen, Lai-Jiu Lin, Sehie Park

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2003

Language:

english

File:

PDF, 117 KB

english, 2003

45

Coincidence theorems for the better admissible multimaps and their applications

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 543 KB

english, 1997

46

On generalizations of the Ekeland-type variational principles

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2000

Language:

english

File:

PDF, 79 KB

english, 2000

47

Acyclic versions of the von Neumann and Nash equilibrium theorems

Journal:

Journal of Computational and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 86 KB

english, 2000

48

Remarks on acyclic versions of generalized von Neumann and Nash equilibrium theorems

Journal:

Applied Mathematics Letters

Year:

2002

Language:

english

File:

PDF, 564 KB

english, 2002

49

Leray-Schauder alternatives for approximable maps in topological vector spaces

In-Sook Kim, Kihong Kim, Sehie Park

Journal:

Mathematical and Computer Modelling

Year:

2002

Language:

english

File:

PDF, 564 KB

english, 2002

50

Generalized Leray-Schauder principles for condensing admissible multifunctions

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

1997

Language:

english

File:

PDF, 1.21 MB

english, 1997

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