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A Fixed Point Theorem for Weakly Inward Multivalued Contractions

✍ Scribed by Teck-Cheong Lim

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
97 KB
Volume
247
Category
Article
ISSN
0022-247X

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✦ Synopsis

Let D be a closed nonempty subset of a Banach space X and T : D Βͺ X Γ„ 4 2 _ a multivalued contraction with closed values, i.e., each Tx is a nonempty closed subset of X and there exists 0 F k -1 such that 5 5 H Tx, Ty F k x y y ,

x, y g D,

Ε½ .

where H denotes the Hausdorff metric H A, B s max sup d a, B , sup d b, A .

πŸ“œ SIMILAR VOLUMES

A fixed point theorem involving a hybrid
A fixed point theorem involving a hybrid inwardness-contraction condition
✍ Hoang Tuy πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 245 KB

## Abstract A fixed point theorem is proved which involves a hybrid inwardness‐contraction condition and simultaneously extends three earlier results of NADLER, CLARKE and REICH, respectively. The aim of this paper is to prove a fixed point theorem which will simultaneously extends three earlier r