Fixed point of single-valued cyclic weak φF-contraction mappings

Abstract

Fixed point results are presented for single-valued cyclic weakly ?F-contractive mappings on complete metric spaces (X,d), where ?: [0,+?) ? [0,+ ?) is a function with ?-1(0) = {0}, ?(t) < t for all t > 0 and ?(tn) ? 0 implies tn ? 0, and F:[0,+ ?) ? [0,+ ?) is continuous with F-1(0) = {0} and F(tn) ? 0 implies tn ? 0. Our results extend previous results given by Rhoades (2001)[20], Moradi and Beiranvand (2010)[13], Amini-Harandi (2010)[2] and Karapinar (2011)[11].