The existence theorem of a new multi-valued mapping in metric space endowed with graph


Kheawborisut, Araya, Suantai, Suthep and Kangtunyakarn, Atid


Abstract

carpathian_2017_33_2_191_198_abstract

In this paper, we introduce a new type of multi-valued G-contraction mapping on a metric space endowed with a directed graph G and prove an existence theorem for fixed point problems in metric space endowed with a graph. Moreover, we prove fixed point theorems in partially ordered metric spaces by our main result. Some examples illustrating our main results are also present.

Additional Information

Author(s)

Kangtunyakarn, Atid, Kheawborisut, Araya, Suantai, Suthep