Fixed point theorems for a generalized almost (φ,ρ)-contraction with respect to S in ordered metric spaces

Abstract

In this paper, the existence theorems of fixed points and common fixed points for two weakly increasing mappings satisfying a new condition in ordered metric spaces are proved. Our results extend, generalize and unify most of the fundamental metrical fixed point theorems in the literature. MSC: 47H09, 47H10. © 2012 Sintunavarat et al.; licensee Springer.