Common fixed points of set mappings endowed with directed graphs

J. Ahmad, A. Al-Rawashdeh

The aim of this article is to obtain common fixed points of set mappings defined on a family of sets endowed with a graph satisfying Θ-contraction. Our results generalize and extend various results in the existing literature. We also provide some non trivial examples to support the validity of our main results. Some applications to the construction of common fixed points of set mappings in ε-chainable metric space are also discussed. 

Tbilisi Mathematical Journal, Vol. 11(3) (2018), pp. 107-123