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

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.

Keywords:

Common fixed point for four mappings , generalized phi−contractions , lower semi-continuity , weakly compatible mappings , well-posed common fixed point problem