Strong Convergence Theorems for a Common Fixed Point of Two Countable Families of Relatively Quasi Nonexpansive Mappings and Applications

• Published in: Abstract and Applied Analysis Vol. 2012; no. 2012; pp. 1525 - 1559-788
• Main Authors: Zhang, Jingling, Su, Yongfu, Cheng, Qingqing
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Limiteds 01.01.2012; Hindawi Puplishing Corporation; Hindawi Publishing Corporation; Hindawi Limited
• Subjects: Approximation; Banach space; Banach spaces; Convergence; Fixed points (mathematics); Hilbert space; Mapping; Mathematics; Nonlinearity; Operators; Studies; Theorems

The purpose of this paper is to prove strong convergence theorems for common fixed points of two countable families of relatively quasi nonexpansive mappings in a uniformly convex and uniformly smooth real Banach space using the properties of generalized f-projection operator. In order to get the st...