Common fixed points of a pair of multivalued non-self mappings in partial metric spaces

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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 :

10.26637/MJM0604/0013

Article Info :

Received : May 04, 2018; Accepted : October 31, 2018.

 

 

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