𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Fixed point theorems for a k-set contraction in a metric space

✍ Scribed by Chi-Ming Chen

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
358 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

In this work, we establish the fixed point theorem, coincidence theorem and variational inequality in a new setting -the compact map is extended to being a k-set contraction.

πŸ“œ SIMILAR VOLUMES

Coupled fixed point theorems for contrac
Coupled fixed point theorems for contractions in fuzzy metric spaces
✍ Shaban Sedghi; Ishak Altun; Nabi Shobe πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 424 KB

In the present work, we prove a coupled fixed point theorem for contractive mappings in complete fuzzy metric spaces.

Couple fixed point theorems for nonlinea
Couple fixed point theorems for nonlinear contractions in cone metric spaces
✍ Erdal KarapΔ±nar πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 388 KB

The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham ( 2006) in [13]. In this manuscript, some results of Lakshmikantham and Ćirić (2009) in [5] are extended to the class of cone metric spaces.

Coupled fixed point theorems for nonline
Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
✍ V. Lakshmikantham; Ljubomir Δ†iriΔ‡ πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 526 KB

We introduce the concept of a mixed g-monotone mapping and prove coupled coincidence and coupled common fixed point theorems for such nonlinear contractive mappings in partially ordered complete metric spaces. Presented theorems are generalizations of the recent fixed point theorems due to Bhaskar a