A Survey on Kannan Mappings in Universalized Metric Spaces
Ali Mutlu, Nermin Yolcu, Berrin Mutlu
Journal of Advances in Mathematics and Computer Science · pp. 1–6 · Published 12 Jul 2016
10.9734/BJMCS/2016/25443Abstract
In this manuscript, firstly, Kannan contraction type mapping is universalised. Secondly, the unique fixed point of the universalized Kannan contraction type mappings in universalized metric space is verified. Furthermore, we clarify that it can not have a fixed point in metric space.
References (8)
- 1 A fixed point theorem of Banach--Caccioppoli type on a class of generalized metric spaces [DOI]
- 2 Fixed points of Kannan mappings in metric spaces endowed with a graph [DOI]
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- 4 A FIXED POINT THEOREM ON A CLASS OF GENERALIZED METRIC SPACES
- 5 Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions [DOI]
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Cited by 2
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