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Fixed point theory in cone metric spaces obtained via the scalarization method

โœ Scribed by A. Amini-Harandi; M. Fakhar

Book ID
104008856
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
276 KB
Volume
59
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Motivated by the scalarization method in vector optimization theory, we take a new approach to fixed point theory on cone metric spaces. By using our method we prove some fixed point theorems and several common fixed point theorems on cone metric spaces in which the cone need not be normal. Our results improve and generalize many well-known results from the literature.

๐Ÿ“œ SIMILAR VOLUMES

The point of coincidence and common fixe
The point of coincidence and common fixed point for a pair of mappings in cone metric spaces
โœ Binayak S. Choudhury; N. Metiya ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 319 KB

In this paper the existence of a point of coincidence and a common fixed point for two weakly compatible maps on a cone metric space has been established. The two mappings are assumed to satisfy certain weak inequalities. Supporting examples are also given.