Suchergebnisse - Iterative Methods AND Optimization Algorithms: A Dedication to Dr. Hong-Kun Xu*
-
1
Iterative approximation of common attractive points of further generalized hybrid mappings
ISSN: 1687-1812, 1687-1812Veröffentlicht: Cham Springer International Publishing 05.03.2018Veröffentlicht in Fixed point theory and applications (Hindawi Publishing Corporation) (05.03.2018)“… ) to introduce the concept of common attractive points (CAP), and (iii) to write and use Picard-Mann iterative process for two mappings …”
Volltext
Journal Article -
2
A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
ISSN: 1687-1812, 1687-1812Veröffentlicht: Cham Springer International Publishing 06.07.2020Veröffentlicht in Fixed point theory and applications (Hindawi Publishing Corporation) (06.07.2020)“… The algorithm consists of an inertial extrapolation process for speeding the rate of its convergence, a monotone nonincreasing stepsize rule, and a viscosity approximation method which guaranteed its strong convergence …”
Volltext
Journal Article -
3
Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem
ISSN: 1687-1812, 1687-1812, 2730-5422Veröffentlicht: Cham Springer International Publishing 18.06.2018Veröffentlicht in Fixed point theory and algorithms for sciences and engineering (18.06.2018)“… , a Krasnoselskii-type subgradient extragradient iterative algorithm is constructed and used to approximate a common element of solutions of variational inequality problems and fixed points of a countable …”
Volltext
Journal Article -
4
The iterative solutions of split common fixed point problem for asymptotically nonexpansive mappings in Banach spaces
ISSN: 1687-1812, 1687-1812Veröffentlicht: Cham Springer International Publishing 08.12.2020Veröffentlicht in Fixed point theory and applications (Hindawi Publishing Corporation) (08.12.2020)“… In this paper, we propose an iteration algorithm for finding a split common fixed point of an asymptotically nonexpansive mapping in the frameworks of two real Banach spaces …”
Volltext
Journal Article -
5
Convergence and stability of modified multi-step Noor iterative procedure with errors for strictly hemicontractive-type mappings in Banach spaces
ISSN: 2730-5422, 2730-5422Veröffentlicht: Cham Springer International Publishing 08.03.2021Veröffentlicht in Fixed point theory and algorithms for sciences and engineering (08.03.2021)“… In this paper, we introduce and study a modified multi-step Noor iterative procedure with errors for two Lipschitz strictly hemicontractive-type mappings in arbitrary Banach spaces and constitute …”
Volltext
Journal Article -
6
Inertial algorithm for approximating a common fixed point for a countable family of relatively nonexpansive maps
ISSN: 1687-1812, 1687-1812Veröffentlicht: Cham Springer International Publishing 12.03.2018Veröffentlicht in Fixed point theory and applications (Hindawi Publishing Corporation) (12.03.2018)“… In this paper, we study an inertial algorithm for approximating a common fixed point for a countable family of relatively nonexpansive maps in a uniformly convex and uniformly smooth real Banach space …”
Volltext
Journal Article -
7
Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings
ISSN: 1687-1812, 1687-1812, 2730-5422Veröffentlicht: Cham Springer International Publishing 04.06.2018Veröffentlicht in Fixed point theory and algorithms for sciences and engineering (04.06.2018)“… In this paper, we define a Halpern–Ishikawa type iterative method for approximating a fixed point of a Lipschitz pseudocontractive non-self mapping T in a real Hilbert space settings and prove strong convergence result of the iterative …”
Volltext
Journal Article -
8
Some convergence results using K iteration process in CAT(0) spaces
ISSN: 1687-1812, 2730-5422Veröffentlicht: Cham Springer International Publishing 01.12.2018Veröffentlicht in Fixed point theory and algorithms for sciences and engineering (01.12.2018)“… In this paper, some strong and Δ-convergence results are proved for Suzuki generalized nonexpansive mappings in the setting of CAT ( 0 ) spaces using the K …”
Volltext
Journal Article -
9
On solving the split generalized equilibrium problem and the fixed point problem for a countable family of nonexpansive multivalued mappings
ISSN: 1687-1812, 1687-1812Veröffentlicht: Cham Springer International Publishing 01.03.2018Veröffentlicht in Fixed point theory and applications (Hindawi Publishing Corporation) (01.03.2018)“… Then, using the shrinking projection method, we prove a strong convergence theorem for finding a common solution of the considered problems …”
Volltext
Journal Article -
10
Infinitely split Nash equilibrium problems in repeated games
ISSN: 1687-1812, 1687-1812, 2730-5422Veröffentlicht: Cham Springer International Publishing 23.04.2018Veröffentlicht in Fixed point theory and algorithms for sciences and engineering (23.04.2018)“… In this paper, we introduce the concept of infinitely split Nash equilibrium in repeated games in which the profile sets are chain-complete posets. Then by …”
Volltext
Journal Article -
11
Random semilinear system of differential equations with impulses
ISSN: 1687-1812, 1687-1812Veröffentlicht: Cham Springer International Publishing 10.12.2017Veröffentlicht in Fixed point theory and applications (Hindawi Publishing Corporation) (10.12.2017)“… In this paper, we study the existence of solutions for systems of random semilinear impulsive differential equations. The existence results are established by …”
Volltext
Journal Article