Partially nonexpansive mappings

Abstract

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.

Keywords

• Fixed Point
• Nonexpansive mapping
• Normal structure

Kaynakça

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