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NOTE ON THE RESULTS WITH LOWER SEMI-CONTINUITY
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 Title & Authors
NOTE ON THE RESULTS WITH LOWER SEMI-CONTINUITY
Chen, Yuqing; Cho, Yeol-Je; Yang, Li;
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 Abstract
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;
 Language
English
 Cited by
1.
LOCAL COMPLETENESS, LOWER SEMI CONTINUOUS FROM ABOVE FUNCTIONS AND EKELAND'S PRINCIPLE,;;

대한수학회보, 2014. vol.51. 2, pp.437-442 crossref(new window)
1.
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On Ekeland’s Variational Principle for Pareto Minima of Set-Valued Mappings, Journal of Optimization Theory and Applications, 2012, 153, 2, 280  crossref(new windwow)
3.
On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings, Journal of Global Optimization, 2011, 49, 3, 381  crossref(new windwow)
4.
On Ha’s version of set-valued Ekeland’s variational principle, Acta Mathematica Sinica, English Series, 2012, 28, 4, 717  crossref(new windwow)
5.
Set-valued pseudo-metric families and Ekeland's variational principles in fuzzy metric spaces, Fuzzy Sets and Systems, 2016, 300, 1  crossref(new windwow)
6.
Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory, Nonlinear Analysis: Theory, Methods & Applications, 2008, 69, 1, 126  crossref(new windwow)
7.
LOCAL COMPLETENESS, LOWER SEMI CONTINUOUS FROM ABOVE FUNCTIONS AND EKELAND'S PRINCIPLE, Bulletin of the Korean Mathematical Society, 2014, 51, 2, 437  crossref(new windwow)
8.
An equilibrium version of vectorial Ekeland variational principle and its applications to equilibrium problems, Nonlinear Analysis: Real World Applications, 2016, 27, 26  crossref(new windwow)
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An equilibrium version of set-valued Ekeland variational principle and its applications to set-valued vector equilibrium problems, Acta Mathematica Sinica, English Series, 2017, 33, 2, 210  crossref(new windwow)
10.
On maximal element theorems, variants of Ekeland’s variational principle and their applications, Nonlinear Analysis: Theory, Methods & Applications, 2008, 68, 5, 1246  crossref(new windwow)
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A generalized distance and enhanced Ekeland’s variational principle for vector functions, Nonlinear Analysis: Theory, Methods & Applications, 2010, 73, 7, 2245  crossref(new windwow)
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Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces, Journal of Mathematical Analysis and Applications, 2006, 323, 1, 360  crossref(new windwow)
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Set-valued Ekeland variational principles in fuzzy metric spaces, Fuzzy Sets and Systems, 2014, 245, 43  crossref(new windwow)
14.
P-distances, q-distances and a generalized Ekeland’s variational principle in uniform spaces, Acta Mathematica Sinica, English Series, 2012, 28, 2, 235  crossref(new windwow)
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