A NOTE ON SOME FIXED POINT THEOREMS
Keywords:
fixed point, Cauchy sequence, felt metric, dislocated metric, partial metricDOI:
https://doi.org/10.17654/0973422823001Abstract
In this note, a precise proof of a far extension of the Meir-Keeler theorem is presented, and it is shown that some celebrated fixed point theorems can be easily derived from our result.
Received: April 6, 2023
Accepted: May 10, 2023
References
L. Ciric, A new fixed-point theorem for contractive mapping, Publ. Inst. Math. (Beograd) (N.S.) 30(44) (1981), 25-27.
P. Hitzler and A. K. Seda, Dislocated topologies, J. Electr. Engin. 51(12) (2000), 3-7.
M. Kuczma and B. Choczewski, Iterative functional equations, Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, UK, Vol. 32, 1990.
S. G. Matthews, Partial metric topology, Proc. 8th Summer Conference on General Topology and Applications, Ann. New York Acad. Sci. 728 (1994), 183 197.
A. Meir and E. Keeler, A theorem on contraction mappings, J. Math. Anal. Appl. 28 (1969), 326-329.
L. Pasicki, Partial metric, fixed points, variational principles, Fixed Point Theory 17(2) (2016), 435-448.
L. Pasicki, Some extensions of the Meir-Keeler theorem, Fixed Point Theory Appl. 2017, Paper No. 1, 10 pp.
L. Pasicki, A strong fixed point theorem, Topology Appl. 282 (2020), 107300, 18 pp. DOI: 10.1016/j.topol.2020.107300.
L. Pasicki, My last fixed point theorem, 2022, 3 pp. arXiv:2107.01022v3 [math.GM].
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