A COMMON FIXED POINT THEOREM OF FOUR MAPS IN CONE (STRONG) B-METRIC SPACES

摘要

In this thesis, we establish a common fixed point theorem for four self-mappings in cone b-metric space which shows that four functions satisfying the compatibility property have a unique common fixed point under weaker contraction conditions than in [Roshan et al., 2014]. In the same setting, we obtain a similar result in cone strong b-metric space. In order to illustrate the validity and superiority of our result, we construct an example on a normal cone which is used widely in the vector k-norm functions and the matrix Ky Fan k-norm functions.