Mathematica Bohemica

Mathematica Bohemica, Vol. 145, No. 1, pp. 45-63, 2020

Common fixed points for four non-self mappings in partial metric spaces

Terentius Rugumisa, Santosh Kumar, Mohammad Imdad

Received January 16, 2018. Published online November 28, 2018.

Abstract: We formulate a common fixed point theorem for four non-self mappings in convex partial metric spaces. The result extends a fixed point theorem by Gajić and Rakočević (2007) proved for two non-self mappings in metric spaces with a Takahashi convex structure. We also provide an illustrative example on the use of the theorem.

Keywords: common fixed point; convex partial metric space; non-self mapping

Classification MSC: 47H10, 54H25

DOI: 10.21136/MB.2018.0008-18

PDF available at: Institute of Mathematics CAS Digital Mathematics Library

References:
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Affiliations: Terentius Rugumisa, Faculty of Science, Technology and Environmental Studies, The Open University of Tanzania, P.O. Box 23409, Dar es Salaam, Tanzania, e-mail: rterentius@gmail.com; Santosh Kumar, Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, P.O. Box 35062, Dar es Salaam, Tanzania, e-mail: drsengar2002@gmail.com; Mohammad Imdad, Department of Mathematics, Aligarh Muslim University, A/B-88, Medical Colony Campus, Aligarh, UP-202002, India, e-mail: mhimdad@gmail.com

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