103 Result(s)
within
**hu Li
Mathematics
Analysis
Mathematics, general
Topology
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Article
Littlewood–Paley–Stein square functions for the fractional discrete Laplacian on \(\mathbb {Z}\)
We investigate the boundedness of “vertical” Littlewood–Paley–Stein square functions for the nonlocal fractional discrete Laplacian on the lattice $$\...
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Article
Open AccessOn the nonlinear Hadamard-type integro-differential equation
This paper studies uniqueness of solutions for a nonlinear Hadamard-type integro-differential equation in the Banach space of absolutely continuous functions based on Babenko’s approach and Banach’s contractio...
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Article
Open AccessRetraction Note: Sharp geometrical properties of a-rarefied sets via fixed point index for the Schrödinger operator equations
The Editors-in-Chief have retracted this article [1] because it overlaps significantly with a number of previously published articles from different authors [2-4] and one article by different authors that was ...
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Article
Boundedness of bi-parameter Littlewood–Paley operators on product Hardy space
Let \(n_1=n\ge 1, n_2=m\ge 1\) ...
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Article
Open AccessInfinitely split Nash equilibrium problems in repeated games
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 using a fixed point theorem on posets in (J. Math. An...
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Article
Open AccessSome convergence theorems involving proximal point and common fixed points for asymptotically nonexpansive map**s in \(\operatorname {CAT}(0)\) spaces
In this paper, a new modified proximal point algorithm involving fixed point iterates of asymptotically nonexpansive map**s in ...
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Article
Open AccessA note on ‘Some fixed point theorems for generalized contractive map**s in complete metric spaces’
Very recently, Hussain et al. (Fixed Point Theory Appl. 2015:185, 2015) introduced the concept of JS-contraction and established some fixed point theorems for such contractions. In this paper, we introduce a new ...
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Article
Open AccessExistence of solution and algorithms for a class of bilevel variational inequalities with hierarchical nesting structure
In this paper we consider a class of bilevel variational inequalities with hierarchical nesting structure. We first of all get the existence of a solution for this problem by using the Himmelberg fixed point t...
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Article
Open AccessFixed point theorems of JS-quasi-contractions
In this paper, we introduce the concept of JS-quasi-contraction and prove some fixed point results for JS-quasi-contractions in complete metric spaces under the assumption that the involving function is nondec...
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Article
Open AccessFixed point theorems of order-Lipschitz map**s in Banach algebras
In this paper, by introducing the concept of Picard-completeness and using the sandwich theorem in the sense of w-convergence, we first prove some fixed point theorems of order-Lipschitz map**s in Banach algebr...
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Article
Open AccessFixed point theorems and endpoint theorems for \((\alpha,\psi)\) -Meir-Keeler-Khan multivalued map**s
As an extension of the class of ( α , ...
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Article
Open AccessA new iterative algorithm for the sum of infinite m-accretive map**s and infinite \(\mu_{i}\) -inversely strongly accretive map**s and its applications to integro-differential systems
A new three-step iterative algorithm for approximating the zero point of the sum of an infinite family of m-accretive map**s and an infinite family of
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Article
Open AccessIterative algorithms for infinite accretive map**s and applications to p-Laplacian-like differential systems
Some new iterative algorithms with errors for approximating common zero point of an infinite family of m-accretive map**s in a real Banach space are presented. A path convergence theorem and some new weak and s...
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Article
Open AccessInductive properties of fixed point sets of map**s on posets and on partially ordered topological spaces
In this paper, we prove several fixed point theorems on both posets and partially ordered topological spaces for set-valued map**s. We also provide the inductive properties of the sets of fixed points for so...
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Article
Open AccessSplit equality fixed point problem for quasi-pseudo-contractive map**s with applications
In this paper, we consider a split equality fixed point problem for quasi-pseudo-contractive map**s which includes split feasibility problem, split equality problem, split fixed point problem etc., as special c...
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Article
Open AccessAn intermixed algorithm for strict pseudo-contractions in Hilbert spaces
An intermixed algorithm for two strict pseudo-contractions in Hilbert spaces have been presented. It is shown that the suggested algorithms converge strongly to the fixed points of two strict pseudo-contractio...
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Article
Open AccessComputation of fixed point index and applications to superlinear periodic problem
In this paper we compute the fixed point index for A-proper semilinear operators under certain boundary conditions. The proof is based on the partial order method combined with the properties of the fixed poin...
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Article
Open AccessA new hybrid algorithm and its numerical realization for two nonexpansive map**s
In the paper, first, we introduce a new hybrid projection algorithm and present its strong convergence theorem. Next, we analyze different hybrid algorithms in computing and conclude that our proposed algorith...
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Article
Open AccessAccelerated Mann and CQ algorithms for finding a fixed point of a nonexpansive map**
The purpose of this paper is to present accelerations of the Mann and CQ algorithms. We first apply the Picard algorithm to the smooth convex minimization problem and point out that the Picard algorithm is the...
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Article
Open AccessRETRACTED ARTICLE: Sharp geometrical properties of a-rarefied sets via fixed point index for the Schrödinger operator equations
In this paper, we use the theory of fixed point index for the Schrödinger operator equations to obtain a geometrical property of a-rarefied sets at infinity on cones. Meanwhile, we give an example to show that th...
