We study traces of weighted Triebel–Lizorkin spaces F p , q s ( R n w ) $F^s_{p,q}(\mathbb {R}^n,w)$ on hyperplanes − k $\mathbb {R}^{n-k}$ where the weight is Muckenhoupt type. concentrate example α x = | $w_\alpha (x) {\big\vert x_n\big\vert }^\alpha$ when ≤ 1 $\big\vert \le 1$ ∈ $x\in \mathbb {R}^n$ and (x)=1$ otherwise, > $\alpha >-1$ . Here we use some refined atomic decomposition argument...

In this article, we introduce the idea of nonlinear Suzuki (F,R?)-contractions, which is patterned after contractive conditions due to [Nonlinear Anal. 71 (2009) 5313-5317] and Wardowski [Fixed Point Theory Appl. (2012) 94:6]. Utilizing our newly introduced contraction, establish some relation theoretic fixed point theorems. Furthermore, adopt an example highlight genuineness proved results. Fi...

We find concrete necessary and sufficient conditions for the existence of contractive completions of Hankel partial contractions of size 4×4 in the extremal case. Along the way we introduce a new approach that allows us to solve, algorithmically, the contractive completion problem for 4 × 4 Hankel matrices. As an application, we obtain a concrete example of a partially contractive 4× 4 Hankel m...

Barnsley (2006) introduced the notion of a fractal top, which is an addressing function for the set attractor of an Iterated Function System (IFS). A fractal top is analogous to a set attractor as it is the fixed point of a contractive transformation. However, the definition of IFS is extended so that it works on the colour component as well as the spatial part of a picture. They can be used to...

Abstract: A new periodic wave solution in terms of Riemann theta functions to the elliptic equation is presented, then by using this solution and the improved generalized F-expansion method, some exact solutions in terms of Riemann theta functions to the KdV-Burgers-Kuramoto(KBK) equation are obtained with the aid of Mathematica, their properties and profiles are displayed in their figures. To ...

Let C be a closed convex subset of a uniformly smooth Banach space E, and T : C → E a nonexpansive nonself-mapping satisfying the weakly inwardness condition such that F(T) = ∅, and f : C → C a fixed contractive mapping. For t ∈ (0,1), the implicit iterative sequence {xt} is defined by xt = P(t f (xt) + (1− t)Txt), the explicit iterative sequence {xn} is given by xn+1 = P(αn f (xn) + (1−αn)Txn)...

Let $K=\mathbb{Q}(\theta)$ be a number field generated by complex root $\theta$ of monic irreducible trinomial $F(x) = x^n+ax+b \in \mathbb{Z}[x]$. There is an extensive literature on monogenity fields defined trinomials. For example, Gaál studied the multi-monogenity sextic Jhorar and Khanduja provide some explicit conditions $a$, $b$ $n$ for $(1, \theta, \ldots, \theta^{n-1})$ to power integr...

Let $A$ be a nontrivial abelian group. A connected simple graph $G = (V, E)$ is $A$-\textbf{antimagic} if there exists an edge labeling $f: E(G) \to \setminus \{0\}$ such that the induced vertex $f^+: V(G) A$, defined by $f^+(v) \Sigma$ $\{f(u,v): (u, v) \in \}$, one-to-one map. In this paper, we analyze group-antimagic property for Cartesian products, hexagonal nets and theta graphs.

In this paper we establish the existence and uniqueness of a coupled fixed point for operators F : X ×X → X satisfying a new type of contractive condition, which is weaker than all the corresponding ones studied in literature so far. We also provide constructive features to our coupled fixed point results by proving that the unique coupled fixed point of F can be approximated by means of two di...

This paper is concerned with the following fractional $ p $-Kirchhoff equation \begin{document}$ \begin{eqnarray*} \left\{ \begin{array}{ll} \varepsilon ^{sp}M\left( {\varepsilon ^{sp - N}}\iint_{\mathbb{R}^{2N}}\frac{{{{\left| {u(x) u(y)} \right|}^p}}}{{{{\left| {x y} \right|}^{N + sp}}}}dxdy\right)(-\Delta)_p^su V(x){u^{p 1}} = {u^{p_s^* 1}}+f(u), \\ u>0, \ \mbox{in}\ {\mathbb{R}^N}, \end{...