Suzuki type P-contractive mappings

Yıl 2023, , 1 - 4, 18.07.2023

İshak Altun

https://doi.org/10.47086/pims.1205921

Öz

We introduce Suzuki type P-contractive mappings by taking into account the concepts of contractive, P-contractive, and Suzuki type contractive mappings. Then, for such mappings on compact metric spaces, we present a fixed point theorem that is more general than the well-known Edelstein fixed point theorem.

Anahtar Kelimeler

Fixed point, contractive mapping, compact metric space

Kaynakça

• R.P. Agarwal, D. O’Regan, D.R. Sahu, Fixed Point Theory for Lipschitzian-type Mappings and Applications, Springer, New York, 2009.
• I. Altun, G. Durmaz, M. Olgun, P-contractive mappings on metric spaces, Journal of Nonlinear Functional Analysis, 2018 (2018), Article ID 43, pp. 1-7.
• I. Altun, H.A. Hancer, Almost Piacrd operators, AIP Conference Proceedings 2183, 060003 (2019); https://doi.org/10.1063/1.5136158
• M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962) 74-79.
• T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313-5317.