Results 1 to 10 of about 70,223 (191)

Stability and Convergence Analysis for Set-Valued Extended Generalized Nonlinear Mixed Variational Inequality Problems and Generalized Resolvent Dynamical Systems

Journal of Mathematics, 2021
In this paper, we study a set-valued extended generalized nonlinear mixed variational inequality problem and its generalized resolvent dynamical system. A three-step iterative algorithm is constructed for solving set-valued extended generalized nonlinear
Iqbal Ahmad, Zahoor Ahmad Rather, Rais Ahmad, Ching-Feng Wen   +3 more
doaj   +3 more sources

Contingent derivatives of the set-valued solution map of a noncoercive saddle point problem. A cross-fertilization between variational analysis and inverse problems [PDF]

Journal of Nonlinear and Variational Analysis, 2020
Summary: We focus on the inverse problem of parameter identification in an abstract saddle point problem. Under the assumption that the saddle point problem is solvable, we study the characterizations of the first-order and the second-order contingent derivatives of the set-valued parameter-to-solution map.
Jadamba, Baasansuren, Khan, Akhtar A., Sama, Miguel, Tammer, Christiane   +3 more
openaire   +1 more source

Convergence of Some Iterative Algorithms for System of Generalized Set-Valued Variational Inequalities

Journal of Function Spaces, 2021
In this article, we consider and study a system of generalized set-valued variational inequalities involving relaxed cocoercive mappings in Hilbert spaces. Using the projection method and Banach contraction principle, we prove the existence of a solution
M. Akram, Aysha Khan, M. Dilshad
doaj   +1 more source

A New Class of Accretive Mappings in Semi-Inner Product Space with an Application to Solve Variational Inclusion

Axioms, 2023
This work aims to develop a new class of accretive mappings and investigate its associated class of proximal mappings. This new class of accretive mappings is known as generalized (Hk,φ)-η-accretive mappings.
Sanjeev Gupta, Nifeen Hussain Altaweel
doaj   +1 more source

The Radius of Metric Subregularity [PDF]

, 2020
There is a basic paradigm, called here the radius of well-posedness, which quantifies the "distance" from a given well-posed problem to the set of ill-posed problems of the same kind.
A Uderzo, AD Ioffe, AL Dontchev, AL Dontchev, AL Dontchev, AY Kruger, AY Kruger, AY Kruger, AY Kruger, BS Mordukhovich, C Eckart, D Klatte, H Gfrerer, H Gfrerer, H Gfrerer, H Gfrerer, HV Ngai, HV Ngai, I Ginchev, J Peña, JJ Ye, LM Graves, M Durea, M Maréchal, M Maréchal, P Bürgisser, R Cibulka, R Mifflin, RT Rockafellar, SM Robinson, XY Zheng, XY Zheng   +31 more
core   +3 more sources

Stability analysis for set-valued inverse mixed variational inequalities in reflexive Banach spaces

Journal of Inequalities and Applications, 2023
This work is devoted to the analysis for a new class of set-valued inverse mixed variational inequalities (SIMVIs) in reflexive Banach spaces, when both the mapping and the constraint set are perturbed simultaneously by two parameters.
Xiaolin Qu, Wei Li, Chenkai Xing, Xueping Luo   +3 more
doaj   +1 more source

Set-valued orthogonality and nearness

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020
The theory of set-valued mappings has grown with the development of modern variational analysis. It is a key in convex and non-smooth analysis, in game theory, in mathematical economics and in control theory.
Annamaria Barbagallo, Octavian E. Ernst, Michel Théra   +2 more
doaj   +1 more source

Approximate amplitude encoding in shallow parameterized quantum circuits and its application to financial market indicators

Physical Review Research, 2022
Efficient methods for loading given classical data into quantum circuits are essential for various quantum algorithms. In this paper, we propose an algorithm called Approximate Amplitude Encoding that can effectively load all the components of a given ...
Kouhei Nakaji, Shumpei Uno, Yohichi Suzuki, Rudy Raymond, Tamiya Onodera, Tomoki Tanaka, Hiroyuki Tezuka, Naoki Mitsuda, Naoki Yamamoto   +8 more
doaj   +1 more source

A Hybrid Proximal Point Three-Step Algorithm for Nonlinear Set-Valued Quasi-Variational Inclusions System Involving (A,η)-Accretive Mappings

Fixed Point Theory and Applications, 2010
The main purpose of this paper is to introduce and study a new class of generalized nonlinear set-valued quasi-variational inclusions system involving (A,η)-accretive mappings in Banach spaces.
Mao Ming Jin, An Jian Xu, Hong-Gang Li
doaj   +1 more source

A Minty variational principle for set optimization [PDF]

, 2014
Extremal problems are studied involving an objective function with values in (order) complete lattices of sets generated by so called set relations.
Crespi, Giovanni P., Hamel, Andreas H., Schrage, Carola   +2 more
core   +1 more source