ACTA issues

New convergence theorems for strongly pseudocontractive operators in arbitrary Banach spaces

Feng Gu

Acta Sci. Math. (Szeged) 70:3-4(2004), 831-837
5848/2009

Abstract. In this paper, we give a correction to the main result of Zhou [16], we prove some new convergence theorems of the Ishikawa iterative process with errors for strongly pseudocontractive operators in arbitrary real Banach spaces. The results presented in this paper improve and extend important known results in [1], [3], [5], [13], [15], [16] and others.


AMS Subject Classification (1991): 47H10, 47H06, 47H17

Keyword(s): strongly pseudocontractive operator, strongly accretive operator, Ishikawa iterative process with errors


Received April 25, 2003. (Registered under 5848/2009.)