Marta Kowalczyk, Ernesto Pérez-Chavela, Sławomir Rybicki. Source: Advances in Differential Equations, Volume 25, Number 1/2, 1--30.Abstract: In this article, we prove two versions of the Lyapunov center theorem for symmetric potentials. We consider a second order autonomous system $$ \ddot...
Arun Kajla, Tuncer Acar. Source: Annals of Functional Analysis, Volume 10, Number 4, 570--582.Abstract: In the present note, following a new approach recently described by Khosravian-Arab, Dehghan, and Eslahchi, we construct a new kind of $\alpha $ -Bernstein operator and study a uniform...
H. Akhadkulov, M. S. Noorani, H. Ibrahim, S. Akhatkulov. Source: Annals of Functional Analysis, Volume 10, Number 4, 562--569.Abstract: Let $T_{1}$ and $T_{2}$ be two piecewise smooth circle homeomorphisms with countably many break points and identical irrational rotation number. We provide a...
Cláudio A. Fernandes, Alexei Y. Karlovich, Yuri I. Karlovich. Source: Annals of Functional Analysis, Volume 10, Number 4, 553--561.Abstract: Let $X(\mathbb{R})$ be a separable Banach function space such that the Hardy–Littlewood maximal operator $M$ is bounded on $X(\mathbb{R})$ and on its...
Dongwei Li, Jinsong Leng. Source: Annals of Functional Analysis, Volume 10, Number 4, 537--552.Abstract: Controlled frames and g-frames were considered recently as generalizations of frames in Hilbert spaces. In this paper we generalize some of the known results in frame theory to controlled...
Morteza Mirzaee Azandaryani. Source: Annals of Functional Analysis, Volume 10, Number 4, 525--536.Abstract: In the following we show that, under some conditions, $\varphi$ -morphisms preserve duals and approximate duals of frames in Hilbert $C^{\ast }$ -modules. Moreover, using $\varphi $...
Yuanxia Li, Dongni Tan. Source: Annals of Functional Analysis, Volume 10, Number 4, 515--524.Abstract: We say that a map $f:X\rightarrow Y$ between two real normed spaces is a phase-isometry if $\{\|f(x)+f(y)\|,\|f(x)-f(y)\|\}=\{\|x+y\|,\|x-y\|\}$ holds for all $x,y\in X$ . Two maps...
Changsen Yang, Yonghui Ren, Haixia Zhang. Source: Annals of Functional Analysis, Volume 10, Number 4, 509--514.Abstract: In this short article, we mainly give some examples to prove that the main results of Section 4 of the paper [W. S. Liao and J. Wu, Ann. Func. Anal. 6 (2015), no. 3, 191–202]...
Chuang-Liang Zhang. Source: Annals of Functional Analysis, Volume 10, Number 4, 496--508.Abstract: We give a natural Ky Fan minimax inequality version of set-valued maps, and we deal with a type of vector equilibrium problem for set-valued mappings on a special dense set not on the whole domain....
Mohammed Y. Abed, Mahdi Dehghani, Ruhollah Jahanipur. Source: Annals of Functional Analysis, Volume 10, Number 4, 483--495.Abstract: We introduce and study a generalized approximate orthogonality relation in real normed linear spaces, namely, approximate $\rho _{\lambda }^{v}$ -orthogonality. We...
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