Common Fixed Point For Affine Self Maps Invariant Approximation In P-normed Spaces

Abstract

Common fixed point results for new classes of non-commuting self-maps and non-expansive. Within the class of all self-maps and of a −starshaped subset of where is affine or −affine. We apply them to obtain several invariant approximation results which unify, extend, and complement well-known results.

Best Approximation By Upward Sets

“…It is a very extensive field which has various applications ( [2], [5], [7] and [10] ). Also the problems of best approximation by elements of convex sets are welldeveloped and have many applications in different areas of Mathematics ( [3], [4], [6], [8] and [12]).…”