Kinyua Muriithi

Non-expansive Mappings in Uniformly Convex Space: Uniform Convex Spaces Kinyua Muriithi

Most Sequences derived from a family of non-expansive maps converges strongly to a fixed point of closed convex bounded subset of: Lp space, uniformly convex real Banach space with at least one of the maps being demi-compact and Hilbert spaces. The strong convergence of the sequences is achieved under certain mild conditions on some given parameters in a general Banach space. In these work we prove theorems on strong convergence of sequences with the conditions into considerations. These work gives an insight to a step by step approach to proves of theorems on convergences of sequences