Some stability results for Picard iterative process in uniform space

M. O. Olatinwo

Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria

Abstract: We prove some stability results for Picard iteration in uniform space by introducing the concept of an $M_e$-distance as well as using some contractive conditions. Our results generalize, extend and improve some earlier results.

Key words: Picard iteration, uniform space, contractive conditions.

MSC: 47H06, 54H25

Received: 10.07.2009

Language: English