COINCIDENCE AND FIXED POINTS OF WEAKLY CONTRACTIVE MAPS

Weakly contractive maps introduced by Alber and Guerre-Delabriere [4], is a wider class of maps which contains the classical Banach contraction as a special case and is closely related to the nonlinear contractions of Boyd-Wong and Reich type. The first section of this paper is introductory in nature and captures the motivation for the current work. In section 2, we study the existence of coincidence and fixed points of ´Ciri´c type weakly generalized contractions in metric spaces and some recent results are discussed as special cases. Finally, in section 3, applications regarding the convergence theorems for modified Mann iterations and modified Ishikawa iterations in a convex metric space are also discussed