Coincidence and fixed point results for generalized weak contractions in the sense of berinde on partial metric spaces recent trends on fixed point theory and its applications

Abstract

In this paper, we introduce the notion of a generalized [InlineEquation not available: see fulltext.]-weak contraction and we prove some common fixed point results for self-mappings T and S and some fixed point results for a single mapping T by using a [InlineEquation not available: see fulltext.]-comparison function and a comparison function in the sense of Berinde in a partial metric space. Also, we introduce an example to support the useability of our results. MSC: 47H10, 54H25. © 2013 Shatanawi and Postolache; licensee Springer.