Convergence theorems on asymptotically generalized \Phi-hemicontractive mappings in the intermediate sense

Autor: G. A. Okeke, J. O. Olaleru, H. Akewe
Rok vydání: 2013
Předmět:
Zdroj: International Journal of Mathematical Analysis. 7:1991-2003
ISSN: 1314-7579
DOI: 10.12988/ijma.2013.35117
Popis: In this study, we introduce the class of asymptotically generalized $\Phi$-pseudocontractive mappings in the intermediate sense and prove the convergence of Mann type iterative scheme to their fixed points. Our results improves and generalizes the results of Kim et al. [J. K. Kim, D. R. Sahu, Y. M. Nam, Convergence theorem for fixed points of nearly L-Lipschitzian mappings, Nonlinear Analysis 71 (2009) 2833-2838] and several others.
Databáze: OpenAIRE