The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “The Dirichlet problem for the Monge-Ampère equation in convex (but not strictly convex) domains.”

Convex Sets and Convex Combinations on Complex Linear Spaces

Hidenori Matsuzaki, Noboru Endou, Yasunari Shidama (2008)

Formalized Mathematics

Similarity:

In this article, convex sets, convex combinations and convex hulls on complex linear spaces are introduced.MML identifier: CONVEX4, version: 7.8.10 4.99.1005

Uniformly Convex Metric Spaces

Martin Kell (2014)

Analysis and Geometry in Metric Spaces

Similarity:

In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit a generalized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simple proof of reflexivity is presented and a weak topology of such spaces is analyzed. This topology, called coconvex topology, agrees with the usually weak topology in Banach spaces. An example of a CAT(0)-space with weak topology which is not Hausdorff is given. In the end existence and...

On zeros and fixed points of multifunctions with non-compact convex domains

Sehie Park, Jong Sook Bae (1993)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Using our own generalization [7] of J.C. Bellenger’s theorem [1] on the existence of maximizable u.s.cq̇uasiconcave functions on convex spaces, we obtain extended versions of the existence theorem of H. Ben-El-Mechaiekh [2] on zeros for multifunctions with non-compact domains, the coincidence theorem of S.H. Kum [5] for upper hemicontinuous multifunctions, and the Ky Fan type fixed point theorems due to E. Tarafdar [13].