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.