Brasselet, Jean-Paul Suwa, Tatsuo
Published in
Journal of Fixed Point Theory and Applications

For two differentiable maps between two manifolds of possibly different dimensions, the local and global coincidence homology classes are introduced and studied by Bisi-Bracci-Izawa-Suwa (2016) in the framework of Čech-de Rham cohomology. We take up the problem from the combinatorial viewpoint and give some finer results, in particular for the loca...

Chen, Wenjing Zhou, Ting
Published in
Journal of Fixed Point Theory and Applications

In this paper, we consider the following Kirchhoff equation with Choquard nonlinearity: 0.1-a+b∫R3|∇u|2dxΔu+V(x)u=∫R3|u(y)|p|x-y|3-αdy|u|p-2u+|u|q-2u,inR3,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsi...

Liu, Hsiao-Fan
Published in
Journal of Fixed Point Theory and Applications

We formulate algebraically solutions to the isotropic Heisenberg ferromagnet, which is an integrable geometric curve flow. The derivation is based on correspondences between this Heisenberg ferromagnet and the nonlinear Schrödinger equation. The existence of solutions to the Cauchy problems of the isotropic Heisenberg ferromagnet with periodic boun...

Zhou, Beijia
Published in
Journal of Fixed Point Theory and Applications

I give precise iteration formulae for brake orbits in dimension 3 and use these formulae to get some index inequalities for moduli spaces of real pseudoholomorphic curves, which are important to establish real embedded contact homology and real cylindrical contact homology in dimension 3.

Bërdëllima, Arian Lauster, Florian Luke, D. Russell
Published in
Journal of Fixed Point Theory and Applications

We extend to p-uniformly convex spaces tools from the analysis of fixed point iterations in linear spaces. This study is restricted to an appropriate generalization of single-valued, pointwise averaged mappings. Our main contribution is establishing a calculus for these mappings in p-uniformly convex spaces, showing in particular how the property i...

Zhang, Xinqiu Liu, Lishan Wu, Yonghong
Published in
Journal of Fixed Point Theory and Applications

In this paper, we focus on the k-convex solution to the following boundary blow-up k-Hessian equation with the logarithmic nonlinearity and singular weights SkD2u=H(x)uklnuβ>0,inΩ,u=∞,on∂Ω,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \use...

Nagar, Anima
Published in
Journal of Fixed Point Theory and Applications

A flow (X, T) induces the flow (2X,T)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(2^X,T)$$\end{document}. Quasifactors are minimal subsystems of (2X,T)\documentclas...

Yang, Zhe Song, Qingping
Published in
Journal of Fixed Point Theory and Applications

In this paper, we use the property of compact sets to propose a unified approach to the Nash equilibrium existence in large games. Our main technique is to convert the large game into a game with finitely many players. We shall use the method to prove the existence theorems of Nash equilibria in different games with infinitely many players.

Solan, Eilon Solan, Omri N.
Published in
Journal of Fixed Point Theory and Applications

It follows from Browder (Summa Bras Math 4:183–191, 1960) that for every continuous function F:(X×Y)→Y\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F : (X \times Y) \...

Jezierski, Jerzy
Published in
Journal of Fixed Point Theory and Applications

Let f:M→M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f:M\rightarrow M$$\end{document} be a self-map of a compact manifold and n∈N\documentclass[12pt]{minimal} \usep...