Mathematical Analysis and Applications in Modeling
ICMAAM 2018, Kolkata, India, January 9–12
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107 Result(s)
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**hu Li
Mathematics
Analysis
Mathematical and Computational Biology
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Article
Global weak solutions to a phase-field model for seawater solidification with melt convection
This paper is concerned with the study of mathematical analysis of a phase-field model of solidification with the possibility of flow occurring in non-solidified regions of the pure seawater. The governing equ...
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Article
Stability of neutral Volterra integro-differential equations with infinite delay
This paper is concerned with stability of neutral Volterra integro-differential equations with infinite delay by constructing explicit Lyapunov functional. The stability, uniform stability and instability of t...
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Article
Second-order diffusion limit for the phonon transport equation: asymptotics and numerics
We investigate the numerical implementation of the limiting equation for the phonon transport equation in the small Knudsen number regime. The main contribution is that we derive the limiting equation that ach...
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Article
Electromagnetic field enhancement in a subwavelength rectangular open cavity
Consider the transverse magnetic polarization of the electromagnetic scattering of a plane wave by a perfectly conducting plane surface, which contains a two-dimensional subwavelength rectangular cavity. The e...
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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
The Brezis–Nirenberg type double critical problem for the Choquard equation
In this paper, we study the following Choquard equation $$\begin{aligned} -\Delta u=\alpha |u|^{2^*-2}u+\beta \left( I_\mu *|u|^{2_\mu ^*}\right) |u|^{2_\mu ^* -2}u +\lambda u,\quad in\,\,\Omega , \end{aligned}$...
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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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Book and Conference Proceedings
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Chapter and Conference Paper
Global Dynamics of a TB Model with Classes Age Structure and Environmental Transmission
In this article, an age structured SVEIR epidemic model for TB is formulated and analyzed by considering three types of ages e.g., latent age, infection age and vaccination age. The presented model also incorp...
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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...
