Fixed point theorems in Banach spaces with normal structure

Abstract

This paper encompassed two theorems on the existence of a unique common fixed-point and the approximation of  this fixed pointby Ishikawa type iterative sequences, for two operator satisfying property- $A^*$ in Banach spaces having normal structure. Moreover, certain relationship between normal structure and property- $B^*$ has been established.

Keywords

• Fixed-point theorems; Fixed-point and coincidence theorems; Normal structure; property-$B^*$