Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2748

Full Length Research Paper

Common fixed point theorems for some generalized non-expansive mappings and non-spreading mappings in CAT(0) spaces

Tanaphong Prommai, Attapol Kaewkhao and Warunan Inthakon
1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand. 2Center of Excellence in Mathematics, CHE, Si Ayutthaya Rd., Bangkok 10400, Thailand.
Email: [email protected]

  •  Accepted: 18 June 2013
  •  Published: 18 December 2013

Abstract

We study the existence of a common fixed point for some generalized non-expansive mappings and non-spreading mappings in CAT(0) spaces. We also study an iterative method for approximating common fixed point of a pair of those mappings.

Key words: CAT(0) Space, nonspreading mapping, common fixed  point.