100 Result(s)
within
Analysis
Applications of Mathematics
Mathematical and Computational Biology
Topology
**hu Li
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Article
Open AccessA new iterative algorithm for the sum of two different types of finitely many accretive operators in Banach space and its connection with capillarity equation
In this paper, we present a new iterative algorithm with errors to solve the problems of finding zeros of the sum of finitely many m-accretive operators and finitely many α-inversely strongly accretive operators ...
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Open AccessDemiclosed principle and convergence theorems for total asymptoticallynonexpansive nonself map**s in hyperbolic spaces
In this paper, we prove the demiclosed principle for total asymptoticallynonexpansive nonself map**s in hyperbolic spaces. Then we obtain convergencetheorems of the mixed Agarwal-O’Regan-Sahu type iteration ...
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Open AccessSome convergence results for multivalued quasi-nonexpansive map**s in \(\operatorname{CAT}(\kappa)\) spaces
In this paper, we prove some strong and △-convergence theorems for a finite family of multivalued quasi-nonexpansive map**s satisfying condition ...
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Open AccessA simultaneous iterative method for split equality problems of two finitefamilies of strictly pseudononspreading map**s without prior knowledge ofoperator norms
In this article, we first introduce the concept of T-map** of a finitefamily of strictly pseudononspreading map** , and we show that...
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Open AccessExistence and uniqueness of fixed point for mixed monotone ternary operators with application
In this paper, partial order theory is used to study the fixed point of a mixed monotone ternary operator A : P ...
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Open AccessErratum to: Nonlinear quasi-contractions in non-normal cone metric spaces
In the note we correct some errors that appeared in the article (Jiang and Li in Fixed Point Theory Appl. 2014:165, 2014).
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Open AccessApplications of order-clustered fixed point theorems to generalized saddle point problems and preordered variational inequalities
In this paper, we introduce the concepts of preordered Banach spaces, generalized saddle points and preordered variational inequalities. Then we apply the order-clustered fixed point theorems to prove the exis...
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Open AccessFixed point theorems on partially ordered topological vector spaces and their applications to equilibrium problems with incomplete preferences
In this paper, we examine some properties of chain-complete posets and introduce the concept of universally inductive posets. By applying these properties, we provide several extensions of Abian-Brown fixed po...
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Open AccessStrong convergence of hybrid Halpern iteration for Bregman totally quasi-asymptotically nonexpansive multi-valued map**s in reflexive Banach spaces with application
In this paper, Bregman totally quasi-asymptotically nonexpansive multi-valued map**s in the framework of reflexive Banach spaces are established. Under suitable limit conditions, by using the shrinking proje...
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Open AccessAlgorithmic and analytical approach to the split common fixed points problem
The split problem, especially the split common fixed point problem, has been studied by many authors. In this paper, we study the split common fixed point problem for the pseudo-contractive map**s and the qu...
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Open AccessParallel algorithms for variational inclusions and fixed points with applications
In this paper, we introduce two parallel algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive map** in Hilbert spaces and prove some strong convergence theor...
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Open AccessSome new iterative algorithms with errors for common solutions of two finite families of accretive map**s in a Banach space
The purpose of this paper is to prove some new theorems of strong convergence to common solutions for two finite families of accretive map**s in a real uniformly smooth and uniformly convex Banach space by m...
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Open AccessNonlinear quasi-contractions in non-normal cone metric spaces
In the paper, we prove a new fixed point theorem of nonlinear quasi-contractions in non-normal cone metric spaces, which partially improve the recent results of Arandelović and Kečkić’s and of Li and Jiang sin...
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Open AccessSolving GNOVI frameworks involving -weak-GRD set-valued map**s in positive Hilbert spaces
First, a new concept, positive Hilbert spaces, is introduced and some fundamental inequalities which are applied to studying the properties of the resolvent operator associated for ...
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Open AccessMixed type iterations for multivalued nonexpansive map**s in hyperbolic spaces
The purpose of this paper is to extend the iteration scheme of multivalued nonexpansive map**s from a Banach space to a hyperbolic space by proving Δ-convergence theorems for two multivalued nonexpansive mappin...
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Open AccessExistence and approximations of fixed points for contractive map**s of integral type
The existence, uniqueness, and iterative approximations of fixed points for four classes of contractive map**s of integral type in complete metric spaces are established. The results presented in this paper ...
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Open AccessSensitivity analysis for generalized set-valued parametric ordered variational inclusion with map**s in ordered Banach spaces
In this paper, a new class of general set-valued parametric ordered variational inclusions, θ ∈ M ...
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Open AccessFixed point theorems on ordered vector spaces
In this paper, we introduce the concept of ordered metric spaces with respect to some ordered vector spaces, which is an extension of the normal metric spaces. Then we investigate some properties of ordered me...
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Open AccessQuasi-contractions restricted with linear bounded map**s in cone metric spaces
In this paper, we introduce the notion of a quasi-contraction restricted with a linear bounded map** in cone metric spaces, and prove a unique fixed point theorem for this quasi-contraction without the norma...
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Open AccessA class of nonlinear mixed ordered inclusion problems for ordered -ANODM set-valued map**s with strong comparison map** A
The purpose of this paper is to introduce and study a new class of nonlinear mixed ordered inclusion problems in ordered Banach spaces and to obtain an existence theorem and a comparability theorem of the reso...
