A fixed point theorem on multiplicative metric space with integral-type inequality
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Date
2018
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Journal Mathematics & Computer Science-Jmcs
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Abstract
In this paper, we prove fixed point theorems (FPTs) on multiplicative metric space (MMS) (X, triangle) by the help of integral-type contractions of self-quadruple mappings (SQMs), i.e., for p(1), p(2), p(3), p(4) : X -> R. For this, we assume that the SQMs are weakly compatible mappings and the pairs (p(1), p(3)) and (p(2), p(4)) satisfy the property (CLRp3p4). Further, two corollaries are produced from our main theorem as special cases. The novelty of these results is that for the unique common fixed point (CFP) of the SQMs p(1), p(2), p(3), p(4), we do not need to the assumption of completeness of the MMS (X, triangle). These results generalize the work of Abdou, [A. A. N. Abdou, J. Nonlinear Sci. Appl., 9 (2016), 2244-2257], and many others in the available literature.
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Keywords
Multiplicative Metric Space, Fractional Integral Inequalities, Fixed Point Theorems
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Citation
Khan, Aziz...et al. (2018). "A fixed point theorem on multiplicative metric space with integral-type inequality", Journal of Mathematics and Computer Science-Jmcs, Vol. 18, No. 1, pp. 18-28.
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Source
Journal of Mathematics and Computer Science-Jmcs
Volume
18
Issue
1
Start Page
18
End Page
28