Partially nonexpansive mappings

Yıl 2022, Cilt: 6 Sayı: 4, 565 - 573, 30.12.2022

Enrique Llorens-fuster

https://doi.org/10.31197/atnaa.1127271

Cited By: 2

Öz

It is defined a class of generalized nonexpansive mappings, which properly contains those defined by Suzuki in 2008, and that preserves some of its fixed point results.

Anahtar Kelimeler

Fixed Point, Nonexpansive mapping, Normal structure

Kaynakça

• [1] S. Dhompongsa, N. Nanan, Fixed Point Theorems by Ways of Ultra-Asymptotic Centers, Abstract Appl. Anal. (2011), Article ID 826851, 21 pages.
• [2] GarcíJ. a-Falset, E. Llorens-Fuster, T. Suzuki, Fixed point theory for a class of generalized nonexpansive mappings, J. Math. Anal. Appl. 375 (2011) 185-195.
• [3] K. Goebel, W.A. Kirk, Iteration processes for nonexpansive mappings, Contemp. Math. 21 (1983) 115-123.
• [4] E. Llorens-Fuster, E. Moreno-Gálvez, The Fixed Point Theory for some generalized nonexpansive mappings, Abstract Appl. Anal. Volume 2011 (2011), Article ID 435686.
• [5] B.E. Rhoades, A Comparison of Various De?nitions of Contractive Mappings, Trans. Amer. Math. Soc. 226 (1977), 257- 290.
• [6] T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl., 340 (2008), 1088-1095.