Results 1 to 10 of about 76 (76)

Graphical Ekeland’s principle for equilibrium problems [PDF]

Proceedings of the American Mathematical Society, Series B, 2022
In this paper, we give a graphical version of the Ekeland’s variational principle (EVP) for equilibrium problems on weighted graphs. This version generalizes and includes other equilibrium types of EVP such as optimization, saddle point, fixed point and variational inequality ones. We also weaken the conditions on the class of bifunctions for which the
Alfuraidan, Monther Rashed, Khamsi, Mohamed Amine   +1 more
openaire   +1 more source

Equivalents of Ekeland's principle [PDF]

Bulletin of the Australian Mathematical Society, 1993
In this note we present a new result which is equivalent to the celebrated Ekeland's variational principle, and a set of implications which includes a new non-convex minimisation principle due to Takahashi.
Oettli, W., Théra, M.
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Ekeland’s variational principle for interval-valued functions

Computational and Applied Mathematics, 2023
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
openaire   +3 more sources

Researching what we practice—The paradigm of systemic family research: Part 1

Family Process, Volume 62, Issue 3, Page 947-960, September 2023., 2023
Abstract This is part 1 of two articles that focus on the ideological and philosophical preference regarding how to relate to and conduct research in the field of systemic couple and family therapy. Thus, this article outlines the theoretical groundwork for part 2 of “Researching what we practice” in the same journal.
Lennart Lorås, Kristoffer Whittaker, Jan Stokkebekk, Terje Tilden   +3 more
wiley   +1 more source

Generalized Ekeland’s variational principle with applications [PDF]

Journal of Inequalities and Applications, 2019
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, Reza Saadati, Choonkil Park   +2 more
openaire   +2 more sources

Equilibria of time‐inconsistent stopping for one‐dimensional diffusion processes

Mathematical Finance, Volume 33, Issue 3, Page 797-841, July 2023., 2023
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
wiley   +1 more source

A symplectic Brezis–Ekeland–Nayroles principle [PDF]

Mathematics and Mechanics of Solids, 2016
We propose a modification of the Hamiltonian formalism which can be used for dissipative systems. This work continues a previous work on Hamiltonian inclusions and advances by the introduction of a symplectic version of the Brezis–Ekeland–Nayroles principle. As an application we show how standard plasticity can be treated in our formalism.
Buliga, Marius, de Saxce, Gery
openaire   +2 more sources

General Versions of the Ekeland Variational Principle: Ekeland Points and Stop and Go Dynamics

Journal of Optimization Theory and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le Phuoc Hai, Phan Quoc Khanh, Antoine Soubeyran   +2 more
openaire   +2 more sources

Equilibrium investment with random risk aversion

Mathematical Finance, Volume 33, Issue 3, Page 946-975, July 2023., 2023
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
wiley   +1 more source

PROTOCOL: Participation in organised sport to improve and prevent adverse developmental trajectories of at‐risk youth: A systematic review

Campbell Systematic Reviews, Volume 19, Issue 2, June 2023., 2023
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, Mette Verner, Else Ladekjær, Elizabeth Bengtsen   +3 more
wiley   +1 more source