[PDF] Top 20 Convergence theorems for modified generalized f projections and generalized nonexpansive mappings

... for nonexpansive mappings have been introduced (see [–]); furthermore, many strong convergence theorems for nonexpansive mappings have been ...nonlinear mappings which ... See full document

... of generalized nonexpansive map- pings on star-shaped sets and establish strong convergence theorems of the Halpern it- erative sequences generated by these mappings in a real Hilbert ... See full document

... multi-valued generalized nonexpansive mappings in uniformly convex Banach ...weak convergence theorems for such mappings are ... See full document

... be nonexpansive if Tx – Ty ≤ x – y for all x, y ∈ ...quasi- nonexpansive [] if F(T ) = ∅ and Tx – p ≤ x – p for all x ∈ C and for all p ∈ F(T ), where F(T ) is the set of fixed points ... See full document

... strong convergence theorems of the iterative scheme () in CAT() spaces for generalized nonexpansive mappings enabling us to enlarge the class of underlying mappings as well as ... See full document

... of generalized asymptotically nonexpansive mapping and gave a necessary and sufficient condition for the modi- fied Ishikawa and Mann iterative sequences to converge to fixed points for the class of ...the ... See full document

... strong convergence (norm convergence) is often much more desirable than weak convergence, for it translates the physical- ly tangible property that the energy kx n −xk of the error between the ... See full document

... Random fixed point theory of single-valued and multivalued random operators are the stochastic generalization of the classical fixed point theory for single-valued and multivalued deterministic mappings. The study ... See full document

... Martinez-Yanes and Xu [] considered the hybrid projection algorithm for a single non- expansive mapping in a Hilbert space. Strong convergence theorems are established under condition (C) only imposed on ... See full document

... of nonexpansive mappings on closed and convex subsets of a Hilbert space (see also ...of nonexpansive mappings on bounded closed convex subsets of a Banach space has been considered by a ... See full document

... -asymptotically nonexpansive mappings, the set of the variational inequality for an a-inverse-strongly monotone operator, and the set of solutions of the generalized equilibrium ...strong ... See full document

... asymptotically nonexpansive mappings was in- troduced by Goebel and Kirk [4] who proved that every asymptotically nonexpansive self-mapping of nonempty closed bounded and convex subset of a uniformly ... See full document

... Let F be a bifunction from K × K satisfying (A1)–(A4), and let B be a β-inverse-strongly monotone mapping of K into ...a nonexpansive mapping of K into H such that F T ∩ EPF ∩ VIK, B / ... See full document

... the convergence of the implicit iteration process ...of generalized asymptotically quasi-nonexpansive ...Strong convergence theorems are obtained in the framework of real Banach ... See full document

... on mappings, which is weaker than non- expansiveness and stronger than quasi-nonexpansivemess and called it condition ...point theorems and convergence theorems for such mappings in ... See full document

... equality generalized mixed equilibrium problem, which is more general than many problems such as split feasibility problem, split equality problem, split equilibrium problem, and so ...weak convergence ... See full document

... existence theorems of fixed points were established; see, for example, ...nonlinear mappings, but also to be able to construct an iterative process to approximate their fixed ... See full document

... and F. Wang, “Strong convergence theorems for a generalized equilibrium problem with a relaxed monotone mapping and a countable family of nonexpansive mappings in a Hilbert ... See full document

... As we all know that if C is a nonempty closed convex subset of a Hilbert space H and P C : H → C is the metric projection of H onto C, then P C is nonexpansive. This fact actually characterizes Hilbert spaces and ... See full document

... Huang, Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces, J.. Zhou, Approximate p[r] ... See full document