Coincidence theorems for set-valued maps with g-kkm property on generalized convex space

• Autorzy: Lai-Jiu Lin , Ching-Jung Ko , Sehie Park
• Języki publikacji: EN

Abstrakty

EN

In this paper, a set-valued mapping with G-KKM property is defined and a generalization of minimax theorem for set-valued maps with G-KKM property on generalized convex space is established. As a consequence of this results we verify the coincidence theorem for set-valued maps with G-KKM property on G-convex space. Finally, we apply our results to the best approximation problem and fixed point problem.

Słowa kluczowe

EN

coincidence theorem   KKM property minimax theorem  

Kategorie tematyczne

• 47H10: Fixed-point theorems
• 54H25: Fixed-point and coincidence theorems

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 1998
• Tom: 18
• Numer: 1-2
• Strony: 69-85

Daty

wydano

1998

otrzymano

1998-12-02

Twórcy

autor

Lai-Jiu Lin

• Department of Mathematics, National Changhua University of Education, Changhua, Taiwan, Republic of China

autor

Ching-Jung Ko

• Department of Mathematics, National Changhua University of Education, Changhua, Taiwan, Republic of China

autor

Sehie Park

• Department of Mathematics, Seoul National University, Seoul 151-742 Republic of Korea

Bibliografia

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