Abstract

Fixed Point Theorems in Banach Space

D. K. Singh, S. K. Pandey and Pankaj Kumar

1,2Govt. Vivekanand P.G. College,
Maihar Distt-Satna, M.P., INDIA.
3Kendriya Vidyalaya,
Bailey Road, Patna, INDIA.

ABSTRACT

In this paper,we establish fixed points theorems in Banach space using Mann Iteration for nonexpansive and asymtotically nonexpansive mappings . Iteration scheme is defined by (2.1) and (2.2). We extended the work of Mann7.

Keywords :Banach space, nonexpansive mapping, asymtotically nonexpansive mappings, fixed point, convex set.

map1 map2 map3