Using certain weak conditions of commutativity we prove some common fixed point theorems in complete metrically convex spaces which, in turn, generalize results due to Assad and Kirk, Itoh, Khan, and several others.
Fixed Point Theorems for Set-Valued Maps and Existence Principles for Integral Inclusions
โ Scribed by Donal O'Regan; Radu Precup
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 135 KB
- Volume
- 245
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We study maps T for which J y T is pseudo-monotone; we call such T a PM-map. This includes compact maps in suitable spaces and pseudo-contractive maps in Hilbert spaces. We study variational inequalities in a situation which was previously done only when T is compact. We show that our variational in
Various random fixed point theorems for different classes of 1-set-contractive random operator are proved. The class of 1-set-contractive random operators includes condensing and nonexpansive random operators. It also includes semicontractive type random operators and locally almost nonexpansive ran
In this paper, we discuss the stability of Ekeland's variational principles for vector-valued and set-valued maps when the dominating cone is a closed pointed convex cone whose interior may be empty. We provide a new approach to the study of the stability of Ekeland's variational principles for vect