Search Results - Iterative Methods and Optimization Algorithms: A Dedication to Dr. Hong-Kun Xu~
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A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems
ISSN: 1687-1812, 1687-1812Published: Cham Springer International Publishing 06.07.2020Published 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…”
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2
Iterative approximation of common attractive points of further generalized hybrid mappings
ISSN: 1687-1812, 1687-1812Published: Cham Springer International Publishing 05.03.2018Published 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…”
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3
The iterative solutions of split common fixed point problem for asymptotically nonexpansive mappings in Banach spaces
ISSN: 1687-1812, 1687-1812Published: Cham Springer International Publishing 08.12.2020Published 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…”
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4
Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem
ISSN: 1687-1812, 1687-1812, 2730-5422Published: Cham Springer International Publishing 18.06.2018Published 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…”
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5
Convergence and stability of modified multi-step Noor iterative procedure with errors for strictly hemicontractive-type mappings in Banach spaces
ISSN: 2730-5422, 2730-5422Published: Cham Springer International Publishing 08.03.2021Published 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…”
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Inertial algorithm for approximating a common fixed point for a countable family of relatively nonexpansive maps
ISSN: 1687-1812, 1687-1812Published: Cham Springer International Publishing 12.03.2018Published 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…”
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7
Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings
ISSN: 1687-1812, 1687-1812, 2730-5422Published: Cham Springer International Publishing 04.06.2018Published 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…”
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8
Some convergence results using K iteration process in CAT(0) spaces
ISSN: 1687-1812, 2730-5422Published: Cham Springer International Publishing 01.12.2018Published 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…”
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9
On solving the split generalized equilibrium problem and the fixed point problem for a countable family of nonexpansive multivalued mappings
ISSN: 1687-1812, 1687-1812Published: Cham Springer International Publishing 01.03.2018Published 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…”
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10
Infinitely split Nash equilibrium problems in repeated games
ISSN: 1687-1812, 1687-1812, 2730-5422Published: Cham Springer International Publishing 23.04.2018Published 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…”
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11
Random semilinear system of differential equations with impulses
ISSN: 1687-1812, 1687-1812Published: Cham Springer International Publishing 10.12.2017Published 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…”
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12
Free Surface NC Machining Tool Path Optimization Algorithm Based on the Iso-Scallop Method
ISBN: 303835631X, 9783038356318ISSN: 1660-9336, 1662-7482, 1662-7482Published: Zurich Trans Tech Publications Ltd 19.10.2015Published in Applied Mechanics and Materials (19.10.2015)“…, based on the iso-scallop method, based on the iso-scallop method, we put forward a kind of free surface NC machining tool path optimization algorithm,make the surface boundary discrete point set…”
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