TY  - JOUR
T1  - Revisiting the Kannan Type Contractions via Interpolation
AU  - Karapinar, Erdal
PY  - 2018
DA  - June
DO  - 10.31197/atnaa.431135
JF  - Advances in the Theory of Nonlinear Analysis and its Application
JO  - ATNAA
PB  - Erdal KARAPINAR
WT  - DergiPark
SN  - 2587-2648
SP  - 85
EP  - 87
VL  - 2
IS  - 2
LA  - en
AB  - In the paper, we revisited the well-known fixed point theorem of Kannan under the aspect of interpolation. By using the interpolation notion, we propose a new Kannan type contraction  to maximize the rate of convergence.
KW  - Kannan Type Contraction
KW  - Interpolation
KW  - fixed point
KW  - rate of convergence
CR  - [1] R. Kannan, Some results on fixed points. Bull. Calcutta Math. Soc. 60, 71-76 (1968).
CR  - [2] R. Kannan, Some results on fixed points. II. Am. Math. Mon. 76, 405-408 (1969.
UR  - https://doi.org/10.31197/atnaa.431135
L1  - https://dergipark.org.tr/en/download/article-file/596070
ER  -