Results 31 to 40 of about 75 (54)

Existence and Algorithm for the Systems of Hierarchical Variational Inclusion Problems

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We study the existence and approximation of a solution for a system of hierarchical variational inclusion problems in Hilbert spaces. In this study, we use Maingé’s approach for finding the solutions of the system of hierarchical variational inclusion problems.
Nopparat Wairojjana, Poom Kumam, Juan R. Torregrosa   +2 more
wiley   +1 more source

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
The paper proposes a viscosity approximation algorithm for approximating fixed points. The study in this paper demonstrates that without having the prior estimations of operator norm and semicompactness of one‐parameter semigroups of nonexpansive mappings, the algorithm converges strongly to the solution of split equality generalized mixed equilibrium ...
Prashant Patel, Rahul Shukla, Alberto Fiorenza   +2 more
wiley   +1 more source

Approximating Common Fixed Points of Bregman Weakly Relatively Nonexpansive Mappings in Banach Spaces

Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014
Using Bregman functions, we introduce a new hybrid iterative scheme for finding common fixed points of an infinite family of Bregman weakly relatively nonexpansive mappings in Banach spaces. We prove a strong convergence theorem for the sequence produced by the method.
Chin-Tzong Pang, Eskandar Naraghirad, Yakov Alber   +2 more
wiley   +1 more source

Strong and Δ‐Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0) Spaces

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
Let K be a nonempty closed and convex subset of a complete CAT(0) space. Let Ti : K → CB(K), i = 1,2, …,m, be a family of multivalued demicontractive mappings such that F:=⋂i=1mF(Ti)≠∅. A Krasnoselskii‐type iterative sequence is shown to Δ‐converge to a common fixed point of the family {Ti, i = 1,2, …, m}.
C. E. Chidume, A. U. Bello, P. Ndambomve, Simeon Reich   +3 more
wiley   +1 more source

Parallel methods for quasinonexpansive mappings in a Hilbert space

This paper is devoted to the problem of finding a common fixed point of quasinonexpansive mappings defined on a Hilbert space. To approximate the solution to this problem, we present several iterative processes using the parallel method based on Anh and Chung (2014) and Aoyama (2018).
Aoyama, Koji, Iemoto, Shigeru
openaire   +3 more sources

Approximation of fixed points of nonexpansive mappings and quasinonexpansive mappings in a Hilbert space

, 2017
In this paper, we give a simple proof and some generalizations of results in Falset, Llorens-Fuster, Marino, and Rugiano (2016).
openaire   +2 more sources

Halpern iteration for a finite family of quasinonexpansive mappings on a complete geodesic space with curvature bounded above by one

, 2019
In this paper, we consider the Halpern iteration scheme for a finite family of quasinonexpansive mappings and then prove a strong convergence theorem to their common fixed point in a complete geodesic space with curvature bounded above by one.
Ezawa, Tatsuki, Kimura, Yasunori
openaire   +2 more sources

Halpern's iteration for a sequence of quasinonexpansive type mappings (The generalization of function spaces and its enviroment)

Halpern's iteration for a sequence of quasinonexpansive type mappings (The generalization of function spaces and its enviroment)
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Halpern’s Iteration for a Sequence of Quasinonexpansive Type Mappings

Advances in Intelligent and Soft Computing, 2011
In this paper, we prove strong convergence of a Halpern’s iteration generated by a sequence of quasinonexpansive type mappings in a Hilbert space. Then using the result, we establish convergence theorems for a λ-hybrid mapping and a maximal monotone operator.
Aoyama Koji
exaly   +2 more sources

Strong Convergence of an Iterative Scheme by a New Type of Projection Method for a Family of Quasinonexpansive Mappings

Journal of Optimization Theory and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
W Takahashi, J C Yao, Kimura Y
exaly   +3 more sources