Displaying similar documents to “Further results related to a minimax problem of Ricceri.”

A Note on Coercivity of Lower Semicontinuous Functions and Nonsmooth Critical Point Theory

Corvellec, J. (1996)

Serdica Mathematical Journal

Similarity:

The first motivation for this note is to obtain a general version of the following result: let E be a Banach space and f : E → R be a differentiable function, bounded below and satisfying the Palais-Smale condition; then, f is coercive, i.e., f(x) goes to infinity as ||x|| goes to infinity. In recent years, many variants and extensions of this result appeared, see [3], [5], [6], [9], [14], [18], [19] and the references therein. A general result of this type was given in [3, Theorem 5.1]...

Inferior Limit, Superior Limit and Convergence of Sequences of Extended Real Numbers

Hiroshi Yamazaki, Noboru Endou, Yasunari Shidama, Hiroyuki Okazaki (2007)

Formalized Mathematics

Similarity:

In this article, we extended properties of sequences of real numbers to sequences of extended real numbers. We also introduced basic properties of the inferior limit, superior limit and convergence of sequences of extended real numbers.