Displaying similar documents to “Continuous selections and approximations in α-convex metric spaces”

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

Lai-Jiu Lin, Ching-Jung Ko, Sehie Park (1998)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Similarity:

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.

Fixed points of multivalued contractions with nonclosed, nonconvex values

Salvatore A. Marano (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

For a class of multivalued contractions with nonclosed, nonconvex values, the set of all fixed points is proved to be nonempty and arcwise connected. Two applications are then developed. In particular, one of them is concerned with some properties of the set of all classical trajectories corresponding to continuous controls for a given nonlinear control system.

The Equichordal Point Problem.

Rychlik, Marek (1996)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Similarity: