A Random Generalized S-Contraction Mapping for Finding a Random P-Common Best Proximity Point

Thidaporn Seangwattana, Ramakant Bhardwaj, Somayya Komal, Poom Kumam

Abstract

In this paper, we contract the two existence theorems for  finding a  p-common best proximity point and random p-common best proximity point, respectivly. A part of  our process is to define two contraction mappings which is so-called a generalized S-contraction and a random generalized S-contraction by using a generalized distance on complete metric-type.