Common fixed points of four maps using generalized weak contractivity and well-posedness

Document Type : Research Paper


Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, P. O. Box, 2390, Marrakech, Morocco (Maroc).


In this paper, we introduce the concept of generalized $\phi$-contractivity of a pair of maps w.r.t. another pair. We establish a common fixed point result for two pairs of self-mappings, when one of these pairs is generalized $\phi$-contraction w.r.t. the other and study the well-posedness of their fixed point problem. In particular, our fixed point result extends the main result of a recent paper by Qingnian Zhang and Yisheng Song.


Volume 2, Issue 1 - Serial Number 1
January 2011
Pages 73-81
  • Receive Date: 12 June 2010
  • Revise Date: 01 September 2010
  • Accept Date: 16 September 2010