Fixed points for non-self mappings in multiplicative 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 develop a theorem for a pair of non-self mappings. For this purpose, we define a multiplicative convex metric space and state the condition for a mapping in such space to have a fixed point. We explain the procedure of locating the fixed point. We also provide an illustrative example on the use of the theorem.

Keywords :

Multiplicative metric space, non-self mapping, coincidence point, multiplicative convex set.



Article Info :

Received : May 03, 2018; Accepted : October 31, 2018.



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