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

• المؤلفون الرئيسيون: Dhompongsa S., Kaewkhao A., Panyanak B.
• التنسيق: مقال
• اللغة: English
• منشور في: 2014
• الوصول للمادة أونلاين: http://www.scopus.com/inward/record.url?eid=2-s2.0-27744436289&partnerID=40&md5=7a28ec88ae27b3f21b25105f4a692f49; http://cmuir.cmu.ac.th/handle/6653943832/4891

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...