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Bull. Korean Math. Soc. 2002; 39(4): 535-541
Printed December 1, 2002
Copyright © The Korean Mathematical Society.
Note on the results with lower semi-continuity
Yuqing Chen, Yeol Je Cho, and Li Yang
Fushan University, Gyeongsang National University, Mianyang Teacher's College
In this paper, we introduce the concept of lower semi-continuous from above functions and show that many well-known results, such as Ekland's and Caristi's theorems, remain also true under lower semi-continuous from above functions.
Keywords: lower semi-continuity from above, convex function, variational principle, fixed point
MSC numbers: Primary 49J45, 47H10; Secondary 26A15, 54H25
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