Search results for "equation"

ICT adoption in hotels and electronic word-of-mouth

2015

Purpose The purpose of this paper is to investigate how information and communication technology (ICT) adoption in hotels contributes to satisfaction and loyalty from the consumer perspective, considering the online dimension of recommendations. Design/methodology/approach A quantitative research based on a structured questionnaire and using a personal survey method was developed. Surveys were conducted on 386 guests from Spanish hotels. Causal methodology by testing structural equation model was applied. Findings Significant relationships are obtained in the sequence “ICT use perception – satisfaction with ICT – overall satisfaction with the hotel – dimensions of loyalty” and the mediatin…

2014

Recalled parental rearing behavior is one of the factors influencing the strength of resilience. However, it is unclear whether resilience is a relatively stable personality trait or has a relational character whose protective strength changes over the course of life. Therefore, the association between recalled parental rearing and resilience as well as symptoms of anxiety and depression was investigated in respect to age and gender. N = 4,782 healthy subjects aged 14-92 (M = 48.1 years) were selected by the random-route sampling method. In this sample, an ultra-short form of the Recalled Parental Rearing Behavior Questionnaire, the German short version of the resilience scale, and two scre…

Hardy inequalities and Assouad dimensions

2017

We establish both sufficient and necessary conditions for weighted Hardy inequalities in metric spaces in terms of Assouad (co)dimensions. Our sufficient conditions in the case where the complement is thin are new even in Euclidean spaces, while in the case of a thick complement we give new formulations for previously known sufficient conditions which reveal a natural duality between these two cases. Our necessary conditions are rather straight-forward generalizations from the unweighted case, but together with some examples they indicate the essential sharpness of our results. In addition, we consider the mixed case where the complement may contain both thick and thin parts.

A note on homoclinic solutions of (p,q)-Laplacian difference equations

2019

We prove the existence of at least two positive homoclinic solutions for a discrete boundary value problem of equations driven by the (p,q) -Laplace operator. The properties of the nonlinearity ensure that the energy functional, corresponding to the problem, satisfies a mountain pass geometry and a Palais–Smale compactness condition.

Some coincidence and periodic points results in a metric space endowed with a graph and applications

2015

The purpose of this paper is to obtain some coincidence and periodic points results for generalized $F$-type contractions in a metric space endowed with a graph. Some examples are given to illustrate the new theory. Then, we apply our results to establishing the existence of solution for a certain type of nonlinear integral equation.

Remarks on iteration of formal automorphisms

1988

Etude de l'iteration des automorphismes formels. Generalisation et interpretation d'un critere de Reich-Schwaiger

An implicit non-linear time dependent equation has a solution

1991

has a solution (u, u, w). The operators &s(l) and a(t) are maximal monotone from a real Hilbert space V to its dual such that &(r) + 9?(r) are V-coercive and a(r) are not degenerate. A linear compact injection i embeds V to a real Banach space W and each d(r) is the strongly monotone subdifferential of a continuous convex function #(I, ) on W. The function f is square integrable. The functions W(r): V+ W* are Lipschitzian as V*-valued functions. Section 3 contains the theorems. The main result is Theorem 2. Theorems 3 and 4 demonstrate the smoothing effect on the initial condition. Their proofs are given in Section 4. They exploit the methods of di Benedetto and Showalter, [4], who studied …

Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation

2014

Abstract We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results for an α - ψ -type contractive mapping and then for a generalized β -type contractive mapping. Some examples and an application to Volterra type integral equation are given to support the obtained results.

Hybrid coincidence and common fixed point theorems in Menger probabilistic metric spaces under a strict contractive condition with an application

2014

Abstract We prove some coincidence and common fixed point theorems for two hybrid pairs of mappings in Menger spaces satisfying a strict contractive condition. An illustrative example is given to support the genuineness of our extension besides deriving some related results. Then, we establish the corresponding common fixed point theorems in metric spaces. Finally, we utilize our main result to obtain the existence of a common solution for a system of Volterra type integral equations.

Symmetry for positive critical points of Caffarelli–Kohn–Nirenberg inequalities

2022

Abstract We consider positive critical points of Caffarelli–Kohn–Nirenberg inequalities and prove a Liouville type result which allows us to give a complete classification of the solutions in a certain range of parameters, providing a symmetry result for positive solutions. The governing operator is a weighted p -Laplace operator, which we consider for a general p ∈ ( 1 , d ) . For p = 2 , the symmetry breaking region for extremals of Caffarelli–Kohn–Nirenberg inequalities was completely characterized in Dolbeault et al. (2016). Our results extend this result to a general p and are optimal in some cases.