Fixed point theorems for R-weakly commuting mappings on normed vector spaces

Abstract

Common fixed points of R-weakly commuting mappings on a normed vector space are obtained. This fixed point is guaranteed under a gen- eralized and natural contraction condition and the convergence of a cer- tain inductively defined sequence of points in the normed vector space. The uniqueness of this common fixed point is also a notable feature. The off-shoot corollaries of the main result obtained here happen to be special cases which cover many results discovered by different authors.