Topic
Coercive function
About: Coercive function is a research topic. Over the lifetime, 9 publications have been published within this topic receiving 143 citations.
Papers
TL;DR: In this paper, a perturbed version of James's sup theorem for weak compactness is discussed, and it is shown that the unique possible framework in the development of an existence theory for a wide class of nonlinear variational problems is the reflexive one.
Abstract: We discuss a perturbed version of James’s sup theorem for weak compactness that not only properly generalizes that classical statement, but also some recent extensions of this central result: the sublevel sets of an extended real valued and coercive function whose subdifferential is surjective are relatively weakly compact. Furthermore, we apply it to generalize and unify some facts in mathematical finance and to prove that the unique possible framework in the development of an existence theory for a wide class of nonlinear variational problems is the reflexive one.
28 citations
Journal Article•
TL;DR: In this paper, it was shown that the complement of the set of well-posed problems is π-porous for some classes of optimization problems, such as lower semicontinuous functions which are bounded from below, lower semi-continuous or continuous functions bounded below by a coercive function and quasi-convex continuous functions with the topology of the uniform convergence.
Abstract: We prove that in some classes of optimization problems, like lower semicontinuous functions which are bounded from below, lower semi- continuous or continuous functions which are bounded below by a coercive function and quasi-convex continuous functions with the topology of the uniform convergence, the complement of the set of well-posed problems is �-porous. These results are obtained as realization of a theorem extending a variational principle of Ioffe-Zaslavski.
3 citations
TL;DR: In this article, the basin of attraction and the nonnegative coercive function are used to discuss the existence and uniquence of the periodic solution to the Newtonian equation of motion, and the main results are generalized and discussed in this paper.
Abstract: In this paper，the methods of the basin of attraction and the nonnegative coercive function are used to discuss the existence and uniquence of the periodic solution to the Newtonian equation of motion. Some Theorem is proved and the main results are generalized and discussed in this papers．
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2019 | 1 |
| 2017 | 1 |
| 2012 | 2 |
| 2011 | 1 |
| 2010 | 1 |
| 2008 | 1 |