𝔖 Bobbio Scriptorium
✦   LIBER   ✦

KKM and Ky Fan Theorems in Hyperconvex Metric Spaces

✍ Scribed by Mohamed A. Khamsi

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
132 KB
Volume
204
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

In hyperconvex metric spaces, we introduce Knaster᎐Kuratowski᎐Mazurkiewicz mappings. Then we prove an analogue to Ky Fan's fixed point theorem in hyperconvex metric spaces.

πŸ“œ SIMILAR VOLUMES

Generalized G-KKM Theorems in Generalize
Generalized G-KKM Theorems in Generalized Convex Spaces and Their Applications
✍ Xie Ping Ding πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 129 KB

Some new generalized G-KKM and generalized S-KKM theorems are proved under the noncompact setting of generalized convex spaces. As applications, some new minimax inequalities, saddle point theorems, a coincidence theorem, and a fixed point theorem are given in generalized convex spaces. These theore

Generalized Distance and Existence Theor
Generalized Distance and Existence Theorems in Complete Metric Spaces
✍ Tomonari Suzuki πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 143 KB

In this paper, we first introduce the concept of -distance on a metric space, which is a generalized concept of both w-distance and Tataru's distance. We also improve the generalizations of the Banach contraction principle, Caristi's fixed point theorem, Ekeland's variational principle, and the nonc

A Fixed Point Theorem in Probabilistic M
A Fixed Point Theorem in Probabilistic Metric Spaces and an Application
✍ E. Pap; O. HadΕΎiΔ‡; R. Mesiar πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 198 KB

The notion of a ⌿, C -contraction type multivalued mapping is introduced. This notion is a generalization of the notion of C-contraction introduced by T. L. Hicks Ž .