general continuation principle is established for set-valued mappings between locally convex linear topological spaces.( Also, some new fixed-point results are given.
Fixed points for nonexpansive fuzzy mappings in locally convex spaces
β Scribed by Byung Soo Lee
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 292 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0165-0114
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π SIMILAR VOLUMES
Let E be a uniformly convex real Banach space with a uniformly GΓ’teaux differentiable norm. Let K be a closed, convex and nonempty subset of E. Let {T i } β i=1 be a family of nonexpansive self-mappings of K . For arbitrary fixed Ξ΄ β (0, 1), define a family of nonexpansive maps , where {Ξ± n } and {
We introduce the class of Ξ±-nonexpansive mappings in Banach spaces. This class contains the class of nonexpansive mappings and is related to the class of firmly nonexpansive mappings in Banach spaces. In addition, we obtain a fixed point theorem for Ξ±nonexpansive mappings in uniformly convex Banach
Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let T : K β E be a nonexpansive non-self map with n 1, where { n } and { n } are real sequences in [ , 1 -] for some β (0, 1). ( 1) If the dual E \* of E has the