๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

New cone fixed point theorems for nonlinear multivalued maps with their applications

โœ Scribed by Wei-Shih Du

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
243 KB
Volume
24
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we first establish some new types of fixed point theorems for nonlinear multivalued maps in cone metric spaces. From those results, we obtain new fixed point theorems for nonlinear multivalued maps in metric spaces and the generalizations of Mizoguchi-Takahashi's fixed point theorem and Berinde-Berinde's fixed point theorem. Some applications to the study of metric fixed point theory are given.

๐Ÿ“œ SIMILAR VOLUMES

Fixed point theorems for two new classes
Fixed point theorems for two new classes of multivalued mappings
โœ Mujahid Abbas; B.E. Rhoades ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 336 KB

The notions of weak\*-nonexpansive mapping and generalized R-multivalued mapping are introduced. Fixed points, common fixed points and some properties of the set of fixed points (common fixed points) of these maps are studied.

New common fixed point theorems for maps
New common fixed point theorems for maps on cone metric spaces
โœ Guangxing Song; Xiaoyan Sun; Yian Zhao; Guotao Wang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 248 KB

In this paper, we study the uniqueness and existence of a common fixed point for a pair of mappings in cone metric space. The results extend and improve recent related results.

Fixed-point theorems for multivalued map
Fixed-point theorems for multivalued maps with closed values on complete gauge spaces
โœ R.P. Agarwal; D. O'Regan ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 226 KB

In this note, we present fixed-point results for contractive maps in the sense of Bose and Mukherjee defined on complete gauge spaces. (~) 2001 Elsevier Science Ltd. All rights reserved.