Lim's theorems for multivalued mappings in CAT(0) spaces

• Main Authors: S. Dhompongsa, A. Kaewkhao, B. Panyanak
• Format: Journal
• Published: 2018
• Subjects: Mathematics
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=27744436289&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/62285
• Institution: Chiang Mai University

Let X be a complete CAT(0) space. We prove that, if E is a nonempty bounded closed convex subset of X and T : E → K (X) a nonexpansive mapping satisfying the weakly inward condition, i.e., there exists p ∈ E such that αp⊕ (1 - α)Tx ⊂ IE(x) ∀x ∈ E, ∀α ∈ [0, 1], then T has a fixed point. In Banach spa...