Common fixed point results in CAT(0) spaces

✍ Scribed by Ali Abkar; Mohammad Eslamian

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 212 KB
• Volume: 74
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2010.10.056

✦ Synopsis

Let X be a complete CAT(0) space, T be a generalized multivalued nonexpansive mapping, and t be a single valued quasi-nonexpansive mapping. Under the assumption that T and t commute weakly, we shall prove the existence of a common fixed point for them. In this way, we extend and improve a number of recent results obtained by Shahzad (2009) [7,12], Shahzad and Markin (2008) [6], andDhompongsa et al. (2005) [5].