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

Santosh Kumar; Terentius Rugumisa

doi:10.26637/MJM0604/0013

Abstract

In this paper, we utilize the concept of the partial Hausdorff metric, first introduced by Aydi et al.[4] 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

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Santosh Kumar Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania. https://orcid.org/0000-0003-2121-6428
Terentius Rugumisa Faculty of Science, Technology and Environmental Studies, The Open University of Tanzania, Tanzania.

Pages: 778-794
Date Published: 01-10-2018
Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)

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