Fixed point theorems for multi-valued contractions with w-distance

Abstract

Some fixed point theorems for a few nonlinear multi-valued contraction mappings in complete metric spaces with w-distance are proved. The results presented in this paper generalize the recent results due to Ćirić (2009) [3], Feng and Liu (2006) [4], Klim and Wardowski (2007) [8], Latif and Abdou (2011) [12] and Liu et al. (2010) [14]. Seven examples are given to explain our results.