ABSTRACT Parental reflective functioning (PRF) is an important predictor of infant attachment, and interventions that target parent–infant/toddler dyads who are experiencing significant problems have the potential to improve PRF. A range of dyadic interventions have been developed over the past two decades, some of which explicitly target PRF as part ...
Jane Barlow +2 more
wiley +1 more source
Approximate solution for solving nonlinear fractional order smoking model
In this paper, Generalized Mittag-Leffler function method (GMLFM) and Sumudu transform method (STM) are applied to study and solve the fractional order smoking model, where the derivatives are defined in the Caputo fractional sense.
A.M.S. Mahdy, N.H. Sweilam, M. Higazy
doaj +1 more source
On hemicontinuity of bifunctions for solving equilibrium problems
This paper deals with solving equilibrium problems under local conditions on equilibrium bifunctions. Some techniques first considered for multivalued mixed variational inequalities are investigated and applied to equilibrium problems.
Alleche Boualem
doaj +1 more source
An entropic regularization method for solving systems of fuzzy linear inequalities
Solving systems of fuzzy linear inequalities could lead to the solutions of fuzzy linear programs. It is shown that a system of fuzzy linear inequalities can be converted to a regular min‐max problem. An entropic regularization method is introduced for solving such a problem. Some computational results are included.
F. B. Liu
wiley +1 more source
Certain remarks on a class of evolution quasi‐variational inequalities
We prove two existence theorems, one for evolution quasi‐variational inequalities and the other for a time‐dependent quasi‐variational inequality modeling the quasi‐static problem of elastoplasticity with combined kinetic‐isotropic hardening.
A. H. Siddiqi, Pammy Manchanda
wiley +1 more source
Stable Approximations of a Minimal Surface Problem with Variational Inequalities
In this paper we develop a new approach for the stable approximation of a minimal surface problem associated with a relaxed Dirichlet problem in the space BV(Ω) of functions of bounded variation. The problem can be reformulated as an unconstrained minimization problem of a functional 𝒥 on BV(Ω) defined by 𝒥(u) = 𝒜(u) + ∫∂Ω|Tu − Φ|, where 𝒜(u) is the ...
M. Zuhair Nashed, Otmar Scherzer
wiley +1 more source
Iterative solution of unstable variational inequalities on approximately given sets
The convergence and the stability of the iterative regularization method for solving variational inequalities with bounded nonsmooth properly monotone (i.e., degenerate) operators in Banach spaces are studied. All the items of the inequality (i.e., the operator A, the “right hand side” f and the set of constraints Ω) are to be perturbed. The connection
Y. I. Alber, A. G. Kartsatos, E. Litsyn
wiley +1 more source
An inertial forward–backward algorithm for the minimization of the sum of two nonconvex functions
We propose a forward–backward proximal-type algorithm with inertial/memory effects for minimizing the sum of a nonsmooth function with a smooth one in the nonconvex setting.
Radu Ioan Boţ +2 more
doaj +1 more source
A Variational Model for Data Fitting on Manifolds by Minimizing the Acceleration of a Bézier Curve
We derive a variational model to fit a composite Bézier curve to a set of data points on a Riemannian manifold. The resulting curve is obtained in such a way that its mean squared acceleration is minimal in addition to remaining close the data points. We
Ronny Bergmann +1 more
doaj +1 more source
Proper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems [PDF]
In this paper, a new class of generalized of nonconvex multitime multiobjective variational problems is considered. We prove the sufficient optimality conditions for efficiency and proper efficiency in the considered multitime multiobjective variational ...
Antczak, Tadeusz, Pitea, Ariana
core +2 more sources

