[PDF] Top 20 Convergence Theorems of Common Fixed Points for Pseudocontractive Mappings

... Very recently, Zhou 18 still considered the iterative Algorithm 1.7 in the framework of Banach spaces. Zhou 18 improved Theorem CSZ from strict pseudocontractions to Lipschitzian pseudocontractions. To be more precise, ... See full document

... The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is ...Weak convergence theorems are established. A ... See full document

... weak convergence is firstly presented in this ...strong convergence theorems of fixed points for nonexpansive mappings, asymptotically nonexpansive mappings and strongly ... See full document

... Several convergence theorems of this scheme are established for common fixed points of nonself asymptotically quasi-non-expansive mappings in real uniformly convex Banach ...Our ... See full document

... and pseudocontractive mapping to the semigroup of pseu- docontractive ...to pseudocontractive semigroup in Banach ...approximating common fixed points of the semigroup of ... See full document

... a common fixed point of a finite family of strictly pseudocontractive mappings based on a viscosity approximation iterative ...Strong convergence theorems of common fixed ... See full document

... Let (X, d) be a metric space. A geodesic path joining x ∈ X to y ∈ X (or, more briefly, a geodesic from x to y) is a map c from a closed interval [, ] ⊆ R to X such that c() = x, c() = y, and d(c(t), c(t )) = |t – t | ... See full document

... everywhere convergence and convergence in ...and fixed point results, modular type conditions are much more natural and modular type assumptions can be more easily veri- fied than their metric or ... See full document

... weak convergence theorems for a continuous pseudocontractive map- ping and a weak convergence theorem for a nonexpansive mapping in real uniformly con- vex Banach ...strong convergence ... See full document

... a common fixed point of a countable family of multi-valued total asymptotically strict quasi-φ-pseudocontractive maps in real Banach spaces and prove strong convergence of the sequence ... See full document

... strong convergence of Halpern-Ishikawa algorithm 3.3 to a common fixed point of a finite family of Lipschitz pseudocontractive ...the mappings or on ... See full document

... is a metric space embedded with a convex structure. The class of hyperbolic spaces, nonlinear in nature, is a general abstract theoretic setting with rich geometrical structure for metric fixed point theory. The ... See full document

... It is our purpose in this paper to give su ffi cient conditions to ensure that ¯ D ⊆ (I + r(I − T))( ¯ D) for every r > 0 and to prove the existence and convergence of a path to a fixed point of a ... See full document

... Recently, hybrid projection algorithms have been studied for the fixed point problems of nonlinear mappings by many authors; see, for example, 8–24. In 2006, Martinez-Yanes and Xu 10 proposed the following ... See full document

... a common element of the set of fixed points of strictly pseudocontractive mappings, the set of common solutions of the variational inequalities with inverse-strongly monotone ... See full document

... a common fixed point of pseudocontractive mappings with explicit scheme has not been possible and our result is even the first result that states the solution of a variational inequality in the set of ... See full document

... these mappings in the iteration under suitable ...of fixed points for pseudocontractions via the iterative process has been extensively investigated by many authors; see also 18–22 and the references ... See full document

... Let E be a real Banach space, K a nonempty closed convex subset of E, and T : K → K a mapping. We use FT to denote the set of fixed points of T , that is, FT {x ∈ K : Tx x}. T is called nonexpansive if Tx − ... See full document

... [Strong convergence theorems for a common fixed point of a finite family of Lipschitz hemicontractive-type multivaled mappings, ...Adv. Fixed Point Theory, 5 (2015), ...a ... See full document

... Fixed point theorems for multi-valued mappings in complete metric spaces, Math.. Common fixed points of two mappings, Pacific J.[r] ... See full document