Journal of Fixed Point Theory and Applications

期刊简介：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.

【译文】《不动点理论及其应用杂志》（JFPTA）提供了一个重要的研究论坛，这些研究在所有使用不动点理论工具的学科中起着关键作用。研究主题包括但不限于：（i）不动点理论及其相关拓扑方法的新发展，特别是：各种类型映射的度数和不动点指数，勒雷-舒德理论、莱夫谢茨和尼尔理论、博尔苏克-乌拉姆型结果，集合值映射的维托里分数和不动点。（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，卢斯滕尼克-施尼雷尔曼和莫尔斯理论方法，弗洛尔同调学和哈密顿系统，椭圆复形和阿蒂亚-博特不动点定理，辛不动点定理和与阿诺德猜想相关的结果。（iii）在非线性分析、数学经济学和计算理论中的显著应用，特别是：分岔理论和非线性PDE，凸分析和变分不等式，KKM映射，博弈论和经济学理论，计算不动点的固定点算法。（iv）对几何、流体动力学和数学物理中的重要问题的贡献，特别是：全局黎曼几何，流体力学中的非线性问题。