Journal Title:Journal Of Fixed Point Theory And Applications
The Journal of Fixed Point Theory and Applications (JFPTA) provides a publication forum for an important research in all disciplines in which the use of tools of fixed point theory plays an essential role. Research topics include but are not limited to:
(i) New developments in fixed point theory as well as in related topological methods,
in particular:
Degree and fixed point index for various types of maps,
Algebraic topology methods in the context of the Leray-Schauder theory,
Lefschetz and Nielsen theories,
Borsuk-Ulam type results,
Vietoris fractions and fixed points for set-valued maps.
(ii) Ramifications to global analysis, dynamical systems and symplectic topology,
in particular:
Degree and Conley Index in the study of non-linear phenomena,
Lusternik-Schnirelmann and Morse theoretic methods,
Floer Homology and Hamiltonian Systems,
Elliptic complexes and the Atiyah-Bott fixed point theorem,
Symplectic fixed point theorems and results related to the Arnold Conjecture.
(iii) Significant applications in nonlinear analysis, mathematical economics and computation theory,
in particular:
Bifurcation theory and non-linear PDE-s,
Convex analysis and variational inequalities,
KKM-maps, theory of games and economics,
Fixed point algorithms for computing fixed points.
(iv) Contributions to important problems in geometry, fluid dynamics and mathematical physics,
in particular:
Global Riemannian geometry,
Nonlinear problems in fluid mechanics.
The Journal of Fixed Point Theory and Applications (JFPTA) 为所有学科的重要研究提供了一个出版论坛,其中不动点理论工具的使用发挥着重要作用。研究课题包括但不限于:
(i) 不动点理论以及相关拓扑方法的新发展,
特别是:
各类地图的度数和定点索引,
Leray-Schauder 理论背景下的代数拓扑方法,
Lefschetz 和 Nielsen 理论,
Borsuk-Ulam 类型结果,
Vietoris 分数和定值映射的固定点。
(ii) 对全局分析、动力系统和辛拓扑的影响,
特别是:
非线性现象研究中的度数和康利指数,
Lusternik-Schnirelmann 和 Morse 理论方法,
Floer 同调和哈密顿系统,
椭圆复形和 Atiyah-Bott 不动点定理,
与阿诺德猜想有关的辛不动点定理和结果。
(iii) 在非线性分析、数理经济学和计算理论中的重要应用,
特别是:
分岔理论和非线性偏微分方程,
凸分析和变分不等式,
KKM 地图、博弈论和经济学,
用于计算不动点的不动点算法。
(iv) 对几何、流体动力学和数学物理中重要问题的贡献,
特别是:
全球黎曼几何,
流体力学中的非线性问题。
大类学科 | 小类学科 | 分区 | Top期刊 | 综述期刊 |
数学 | MATHEMATICS 数学 MATHEMATICS, APPLIED 应用数学 | 3区 | 是 | 是 |
大类学科 | 小类学科 | 分区 |
数学 | MATHEMATICS 数学 MATHEMATICS, APPLIED 应用数学 | 3区 |
期刊名称 | 领域 | 中科院分区 | 影响因子 |
Journal Of Fixed Point Theory And Applications | 数学 | 3区 | 1.800 |
Journal Of Survey Statistics And Methodology | 数学 | 3区 | 2.100 |
Journal Of Approximation Theory | 数学 | 3区 | 0.900 |
Monatshefte Fur Mathematik | 数学 | 3区 | 0.900 |
Annales De L Institut Fourier | 数学 | 3区 | 0.700 |
Sbornik Mathematics | 数学 | 3区 | 0.800 |