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A New Nonlocal Fractional Differential Quasi-Variational Inequality in Hilbert Spaces with Applications

open access: yesFractal and Fractional
This paper considers a new nonlocal fractional differential quasi-variational inequality (NFDQVI) comprising a fractional differential equation with a nonlocal condition and a time-dependent quasi-variational inequality in Hilbert spaces.
Zengbao Wu   +5 more
doaj   +1 more source

Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces

open access: yesJournal of Applied Mathematics, 2012
We consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi (1995, 1996) for a minimization problem, to a class of generalized mixed variational inequalities in Banach spaces, which includes as a special case the ...
Lu-Chuan Ceng, Ching-Feng Wen
doaj   +1 more source

Inertial Method for Bilevel Variational Inequality Problems with Fixed Point and Minimizer Point Constraints

open access: yesMathematics, 2019
In this paper, we introduce an iterative scheme with inertial effect using Mann iterative scheme and gradient-projection for solving the bilevel variational inequality problem over the intersection of the set of common fixed points of a finite number of ...
Seifu Endris Yimer   +3 more
doaj   +1 more source

An Algorithm with Remote Set Control for Inverse Strongly Monotone Mappings

open access: yesMathematics
In 2003, W. Takahashi and M. Toyoda established the weak convergence of the iteration process of solving a variational inequality problem. This variational inequality is associated with an inverse strongly monotone mapping.
Alexander J. Zaslavski
doaj   +1 more source

An interior penalty method for a parabolic complementarity problem involving a fractional Black-Scholes operator

open access: yesJournal of Inequalities and Applications
In this paper, an interior penalty method is proposed to solve a parabolic complementarity problem involving fractional Black–Scholes operator arising in pricing American options under a geometric Lévy process.
Yarui Duan   +3 more
doaj   +1 more source

A New Projection Algorithm for Generalized Variational Inequality

open access: yesJournal of Inequalities and Applications, 2010
We propose a new projection algorithm for generalized variational inequality with multivalued mapping. Our method is proven to be globally convergent to a solution of the variational inequality problem, provided that the multivalued mapping is continuous
Changjie Fang, Yiran He
doaj   +1 more source

Hybrid Iterative Scheme for Triple Hierarchical Variational Inequalities with Mixed Equilibrium, Variational Inclusion, and Minimization Constraints

open access: yesAbstract and Applied Analysis, 2014
We introduce and analyze a hybrid iterative algorithm by combining Korpelevich's extragradient method, the hybrid steepest-descent method, and the averaged mapping approach to the gradient-projection algorithm.
Lu-Chuan Ceng   +3 more
doaj   +1 more source

A Projection-Type Implicit Algorithm for Finding a Common Solution for Fixed Point Problems and Variational Inequality Problems

open access: yesMathematics
This paper deals with the problem of finding a common solution for a fixed point problem for strictly pseudocontractive mappings and for a certain variational inequality problem.
Vasile Berinde
doaj   +1 more source

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