[PDF] Top 20 Fixed point theorems for a class of generalized nonexpansive mappings

... Fixed point theorems for a class of generalized nonexpansive mappings Fatemeh Lael 1* and Zohre Heidarpour 2.. * Correspondence:.[r] ... See full document

... new class of generalized nonexpansive mappings which is wider than the class of mappings satisfying (C) ...fixed point results for these mappings are obtained ... See full document

... on nonexpansive mappings and related topics in fixed point theory see ...fixed point theorems for geodesic Ptolemy spaces with a uniformly continuous midpoint ...fixed point for ... See full document

... than nonexpansive- ness. Therefore, it is natural to call these mappings as “generalized nonexpansive ...these mappings as those satisfying the condition ... See full document

... fixed point for contraction type mappings in complete metric ...a class of differential equations of first ...convergence theorems for the multivariate fixed point of N- variables ... See full document

... The generalized nonexpansive mappings characterized by the inequalities ...for fixed points and are different from the class of Ciric’s mappings characterized by the inequalities ... See full document

... sive mappings in Banach spaces. This class of mappings includes the resolvent of a maximal monotone operator and Alber’s generalized ...relatively nonexpansive mappings and they ... See full document

... another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized ... See full document

... (i) It is well known that every commutative semigroup is both left and right reversible and every discrete amenable semigroup is reversible. Then Theorems ., ., ., ., and . are also obtained for a ... See full document

... asymptotically nonexpansive map of a nonempty closed convex bounded subset of a real uniformly convex Banach space has a fixed ...convergence theorems for this class of mappings without the ... See full document

... been generalized in 7 cf. Theorem 2.1. Fixed point theorems for nonexpansive maps due to Browder 10, 11 and G ¨ohde 12 have been generalized in 6 ...been generalized by ... See full document

... fixed point for generalized asymptotically quasi-nonexpansive mappings in real Banach spaces and give the necessary and sufficient condition for convergence of three-step iterative sequence with ... See full document

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

... commuting nonexpansive self-mappings, one of which is weakly contractive, are stud- ...convergence theorems are established for the iterations of types Krasnoselski-Mann, Kirk, and Ishikawa to ... 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

... the class of mappings considered in our ...asymptotically nonexpansive maps; asymptotically k-strictly pseudocontractive maps; fixed points; strong convergence; Hilbert ... See full document

... a nonexpansive mapping or a generalized nonexpansive ...a fixed point for T has been investigated, and some fixed point theorems and convergence theorems for ... See full document

... The paper is organized as follows. In Section  we review some definitions and well- known results which will be needed in the sequel. In Section  and  we prove the exis- tence of common fixed points of four ... See full document

... fixed point theorems and convergence theorems for the class of total asymptotically nonexpansive mappings on CAT( κ ) spaces with κ > ... See full document

... Fixed point theory as an important branch of nonlinear analysis theory has been applied in the study of nonlinear ...existence theorems of fixed points were established; see, for example, ... See full document