[LIBRO][B] Variational analysis and applications

BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

[LIBRO][B] Scalarization and separation by translation invariant functions

C Tammer, P Weidner - 2020 - Springer
Our scientific collaboration began about 35 years ago, when both of us had just finished our
Ph. D. Theses. The first article which we submitted together dealt with a certain type of …

Ekeland, Takahashi and Caristi principles in preordered quasi-metric spaces

S Cobzaş - Quaestiones Mathematicae, 2023 - Taylor & Francis
We prove versions of Ekeland, Takahashi and Caristi principles in pre-ordered quasi-metric
spaces, the equivalence between these principles, as well as their equivalence to some …

Set order relations, set optimization, and Ekeland's variational principle

QH Ansari, PK Sharma - … and Applications: IFSOVAA-2020, Varanasi, India …, 2021 - Springer
This chapter provides a brief survey on different kinds of set order relations which are used
to compare the objective values of set-valued maps and play a key role to study set …

On set-valued optimization problems with variable ordering structure

M Durea, R Strugariu, C Tammer - Journal of Global Optimization, 2015 - Springer
In this paper we introduce and investigate an optimality concept for set-valued optimization
problems with variable ordering structure. In our approach, the ordering structure is …

Fixed points and variational principles with applications to capability theory of wellbeing via variational rationality

TQ Bao, BS Mordukhovich, A Soubeyran - Set-Valued and Variational …, 2015 - Springer
In this paper we first develop two new results of variational analysis. One is a fixed point
theorem for parametric dynamic systems in quasimetric spaces, which can also be …

Fixed points and completeness in metric and generalized metric spaces

S Cobzaş - Journal of Mathematical Sciences, 2020 - Springer
The famous Banach contraction principle holds in complete metric spaces, but
completeness is not a necessary condition: there are incomplete metric spaces on which …

Concepts for approximate solutions of vector optimization problems with variable order structures

B Soleimani, C Tammer - Vietnam Journal of Mathematics, 2014 - Springer
In this paper, we introduce the concepts for approximately minimal, approximately
nondominated solutions, and approximate minimizers of vector optimization problems with …

Variational principles, completeness and the existence of traps in behavioral sciences

TQ Bao, S Cobzaş, A Soubeyran - Annals of Operations Research, 2018 - Springer
In this paper, driven by Behavioral applications to human dynamics, we consider the
characterization of completeness in pseudo-quasimetric spaces in term of a generalization …

A generalized proximal linearized algorithm for DC functions with application to the optimal size of the firm problem

JX Cruz Neto, PR Oliveira, A Soubeyran… - Annals of Operations …, 2020 - Springer
The purpose of this paper is twofold. First, we examine convergence properties of an inexact
proximal point method with a quasi distance as a regularization term in order to find a critical …