Sang Hyeon Han and Sung Ho Park Sogang University, Sogang University
Abstract : In this paper, we define a generalized duality mapping, which is a generalization of the normalized duality mapping and using this, we extend the notion of a generalized projection and study their properties. Also we construct an approximating fixed point sequence using the generalized projection with the generalized duality mapping and prove its strong convergence.
Keywords : Banach spaces, normalized and generalized duality mappings, generalized projection, approximating fixed point sequence
