Common fixed points versus invariant approximation for noncommutative mappings

Abstract

The aim of this paper is to obtain common fixed points as invariant approximation for noncommuting two pairs of mappings. As consequences, our works generalize the recent works of Nashine [9] by weakening commutativity hypothesis and by increasing the number of mappings involved.

Keywords

• best approximant
• common fixed points
• commutating mappings
• compatible mapping
• demiclosed mapping
• locally convex space