In this paper, we prove some periodic point results on partial metric spaces. Thus, we generalize famous results existing in the literature such as Boyd-Wong fixed point theorem and Banach fixed point theorem.
REFERENCES
1.
2.
S.
Banach
, Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales
, Fund. Math
, 3
(1922
), 133
–181
.3.
D. W.
Boyd
and J. S.
Wong
, On nonlinear contractions
. Proceedings of the American Mathematical Society
, 20
(2
), (1969
), 458
–464
.4.
L.B.
Ciric
, On some maps with a nonunique fixed point
, Pull. Inst. Math.
, 17
(1974
), 52
–58
.5.
E.
Karapınar
and S.
Romaguera
, Nonunique fixed point theorems in partial metric spaces
, Filomat
, 27
(7
), (2013
), 1305
–1314
.6.
S. G.
Matthews
, Partial metric topology, in: Proceedings of the 8th Summer Conference on General Topology and Applications
, in Ann. New York Acad. Sci.
, 728
(1994
), 183
–197
.7.
S.
Romaguera
, Fixed point theorems for generalized contractions on partial metric spaces
. Topology and its Applications
, 159
(1
), (2012
), 194
–199
.
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