Indian Journal of Scientific Research
  • Year: 2010
  • Volume: 1
  • Issue: 2

Fixed point theorems for nonexpansive mapping in banach space

  • Author:
  • D.P. Shuklaa,1, Vandna Gargb, Dalwinder Singhc
  • Total Page Count: 5
  • Page Number: 91 to 95

aDepartment of Mathematics, Govt. P.G Science College, Rewa, M.P., India. e-mail: shukladpmp@gmail.com

bDepartment of Mathematics, Govt. P.G Science College, Rewa, M.P., India e-mail: vandana4198@gmail.com

cDepartment of Mathematics, Govt. P.G Science College, Rewa, M.P., India. e-mail: dalli2208@gmail.com

1Corresponding author

Online published on 14 October, 2011.

Abstract

In this paper we prove common fixed point theorems for a self-mapping of non-empty compact and convex subsets of a Banach space. These results are extensions of the results which have obtained on the work of Dotson and Mann. Mathematics subject classification 47H10, 54H25.

Keywords

Fixed point, compact and convex subset, Banach space