Results 31 to 40 of about 465 (165)
Oettli-Théra Theorem and Ekeland Variational Principle in Fuzzy b-Metric Spaces
The purpose of this paper is to establish the Oettli–The´ra theorem in the setting of KM-type fuzzy b-metric spaces. To achieve this, we first prove a lemma that removes the constraints on the space coefficients, which significantly simplifies the proof ...
Xuan Liu, Fei He, Ning Lu
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The authors obtained a delay-dependent exponential p-stability criterion for a class of Markovian jumping nonlinear diffusion equations by employing the Lyapunov stability theory and some variational methods.
Ruofeng Rao, Shouming Zhong
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Multiplicity of positive solutions for second order quasilinear equations [PDF]
We discuss the existence and multiplicity of positive solutions for a class of second order quasilinear equations. To obtain our results we will use the Ekeland variational principle and the Mountain Pass Theorem.
Dahmane Bouafia +2 more
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This paper presents some variants of minimal point theorem together with corresponding variants of Ekeland variational principle. In the second part of this article, there is a discussion on Ekeland variational principle and minimal point theorem ...
Meghea Irina, Stamin Cristina Stefania
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On Ekeland’s Variational Principle in Rectangular bmertic Spaces
Ekeland′s variational principle plays an important role in fixed point theory. It has applications in many fields such as optimization theory, control theory, critical point theory and others.
HUANG Shuai, CHEN Lili, LIU Xin
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Ekeland’s variational principle for interval-valued functions
In this paper, we attempt to propose Ekeland's variational principle for interval-valued functions (IVFs). To develop the variational principle, we study the concept of sequence of intervals. In the sequel, the idea of gH-semicontinuity for IVFs is explored.
Gourav Kumar, Debdas Ghosh
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Equilibria of time‐inconsistent stopping for one‐dimensional diffusion processes
Abstract We consider three equilibrium concepts proposed in the literature for time‐inconsistent stopping problems, including mild equilibria (introduced in Huang and Nguyen‐Huu (2018)), weak equilibria (introduced in Christensen and Lindensjö (2018)), and strong equilibria (introduced in Bayraktar et al. (2021)). The discount function is assumed to be
Erhan Bayraktar, Zhenhua Wang, Zhou Zhou
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Equilibrium investment with random risk aversion
Abstract We solve the problem of an investor who maximizes utility but faces random preferences. We propose a problem formulation based on expected certainty equivalents. We tackle the time‐consistency issues arising from that formulation by applying the equilibrium theory approach.
Sascha Desmettre, Mogens Steffensen
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Generalized Ekeland’s variational principle with applications [PDF]
Abstract By using the concept of Γ-distance, we prove EVP (Ekeland’s variational principle) on quasi-F-metric (q-F-m) spaces. We apply EVP to get the existence of the solution to EP (equilibrium problem) in complete q-F-m spaces with Γ-distances. Also, we generalize Nadler’s fixed point theorem.
Eshagh Hashemi +2 more
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Abstract This is the protocol for a Campbell systematic review. The main objective of this review is to answer the research question: What are the effects of organised sport on risk behaviour, personal, emotional and social skills of young people, who either have experienced or is at‐risk of experiencing an adverse outcome?
Trine Filges +3 more
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