Fixed points for non-self mappings in multiplicative 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 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.
DOI :
Article Info :
Received : May 03, 2018; Accepted : October 31, 2018.
