Common fixed points of a pair of multivalued non-self mappings in partial metric spaces
Authors :
Santosh Kumar 1 * and Terentius Rugumisa 2
Author Address :
1 Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania.
2 Faculty of Science, Technology and Environmental Studies, The Open University of Tanzania, Tanzania.
*Corresponding author.
Abstract :
In this paper, we utilize the concept of the partial Hausdorff metric, first introduced by Aydi et al.cite{Aydi} for partial metric space, to consider a pair of multivalued mappings which are non-self almost contractions on metrically convex partial metric spaces. We establish the existence of fixed point in such mappings.
Keywords :
Partial Hausdorff metric, multivalued mapping, almost contraction, partial metric space, non-self mapping.
DOI :
Article Info :
Received : May 04, 2018; Accepted : October 31, 2018.