[PDF] Top 20 Iterative algorithms for common elements in fixed point sets and zero point sets with applications

... The class of strictly pseudocontractive mappings was introduced by Browder and Petryshyn [16]. If = 0, the class of strictly pseudocontractive mappings is reduced to the class of nonexpansive mappings. In case that = 1, ... See full document

... Iterative algorithms have emerged as an effective and powerful tool for studying a wide class of problems which arise in economics, finance, image reconstruction, ecology, trans- portation, network, ... See full document

... Remark . In the next of this paper, we shall present an example of infinite p-Laplacian- like differential systems. Based on the example, we shall construct an infinite family of m-accretive mappings, present ... See full document

... new iterative algorithm by combining Nadezhkina and Taka- hashi’s modified extragradient method and Xu’s ...mentioned iterative algo- rithm presents the common solution of the split variational ... See full document

... The organization of this paper is as follows. Some useful definitions and results are listed for the convergence analysis of the iterative algorithm in Section . In Section , we prove the weak convergence of the ... See full document

... of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications (Haifa, 2000), ... See full document

... Proof It follows directly from Theorem . and the contractibility of X. The Chebyshev condition in Corollary . is necessary. For example, in Example  [], the mapping F is a contraction that does not satisfy the ... See full document

... In this paper, inspired by Gu et al. [] and Sahu et al. [], we introduce two explicit iterative schemes which generate sequences via iterative algorithms. We prove that the generated sequences ... See full document

... First, we note that Yamada’s methods do not apply to VI 1.2 since the mapping I − S fails, in general, to be strongly monotone, though it is Lipschitzian. As a matter of fact, the variational inequality 1.2 is, in ... See full document

... Tx − Ty ≤ x − y for all x, y ∈ C. The set of fixed-points of T is denoted by the set FixT : {x ∈ C : Tx x}. It is well known that if FixT / ∅, then FixT is closed and convex. Given nonexpansive mapping V : C → C, ... See full document

... of fixed points of a κ-strict pseudo-contraction T : H → H such that FixT / ∅ and F : H → H is still η-strongly monotone and boundedly ...a point x 0 ∈ FixT arbitrarily, set C Sx 0 , 2Fx 0 ... See full document

... FPP is dropped. However, the added condition in Theorem . that the mapping satis- fies property (K) in conjunction with the fact that f : Q → Q implies f : Q ∩ K → Q ∩ K immediately reduces Theorem . to the bounded ... See full document

... Zamfirescu fixed point theorem has been further extended to almost contractions (Berinde, 2010), a class of contractive type mappings which exhibits totally different features than the ones of the  ... See full document

... extragradient iterative method to approximate a common solution to a split equality variational inequality problem and a multiple-sets split equality fixed point problem for two ... See full document

... [34] L.A. Zadeh, “Fuzzy sets”, Inform. Control., vol. 8, pp. 338-353, 1965 [35] W. Zhang, D. Qiu, Z. Li and G. Xiong, “Common fixed point theorems in a new fuzzy metric space”, Journal of ... See full document

... the fixed point problems as well as the extended general nonconvex Wiener-Hopf equations is ...projection iterative algorithms with mixed errors for finding an element of the set of ... See full document

... a common fixed point, S = { S ( t ) : 0 ≤ t < ∞} is a family of nonexpansive self- mappings on H such that T has property ( A ) with respect to the family S and F( T ) ⊆ F( S ) , g >0 is a ... See full document

... point theorems in such spaces trivial. Unfortunately, it was shown that certain theorems involving Dhage’s D-metric spaces are flawed, and most of the results claimed by Dhage and others are invalid. These errors ... See full document

... a fixed point class ...same fixed point ...of fixed point classes and as the Nielsen number is also a homotopy invariant, the set Φ must have at least N( f ) ... See full document

... Theorem 1.2 . (Meir and Keeler [2]). Let (X, d) be a complete metric space and let j be a Meir-Keeler contraction (MKC, for short) on X, that is, for every ε > 0, there exists δ > 0 such that d(x, y) <ε + δ ... See full document