Common Fixed Point Theorems for Commuting Self Maps in Banach Spaces via a Measure of Non-compactness
K. Piesie Frimpong *
Department of Mathematics, University of Energy and Natural Resources, Sunyani, Ghana
*Author to whom correspondence should be addressed.
Abstract
This paper provides common fixed point theorems for a commuting family of self mappings in Banach spaces via a measure of non-compactness. The choice of a commuting family of self maps provides a result that is unique in its own right, generalize Darbos fixed point theorem and specifically extend and improve the work of Meryeme El Harrak and Ahmed Hajji.
Keywords: Fixed point, commuting family, common fixed point, self maps, measure of non-compactness, banach space, compact set.