Regularized Nonconvex Mixed Variational Inequalities: Auxiliary Principle Technique and Iterative Methods
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-016-1046-3
Abstract: In this paper, we turn our attention to formulating and studying a new class of variational inequalities in a nonconvex setting, called regularized nonconvex mixed variational inequalities. By using the auxiliary principle technique, some new… read more here.
Keywords: principle technique; regularized nonconvex; auxiliary principle; variational inequalities ... See more keywords
Quasi-Strict Feasibility of Generalized Mixed Variational Inequalities in Reflexive Banach Spaces
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DOI: 10.1007/s10957-018-1278-5
Abstract: In this paper, quasi-strict feasibility of a generalized mixed variational inequality as a new notation is introduced, which is weaker than its strict feasibility and recovers the existing concept of strict feasibility for a generalized… read more here.
Keywords: strict feasibility; quasi strict; mixed variational; feasibility ... See more keywords
A mixed variational formulation of dynamic viscoelastic problems with adhesion and friction
Sign Up to like & getrecommendations! Published in 2020 at "Mechanics Research Communications"
DOI: 10.1016/j.mechrescom.2020.103642
Abstract: Abstract The aim of this work is to study a class of dynamic contact problems coupling adhesion and friction between two viscoelastic bodies with nonlinear viscosity operators. The boundary conditions concern relaxed unilateral contact, pointwise… read more here.
Keywords: friction; mixed variational; adhesion friction; formulation dynamic ... See more keywords
Tikhonov type regularization methods for inverse mixed variational inequalities
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DOI: 10.1080/02331934.2019.1607339
Abstract: In this paper, we focus on a Tikhonov type regularization method for inverse mixed variational inequalities. Existence of solutions of the inverse mixed variational inequalities and its regularized problem are established. We also present the… read more here.
Keywords: inverse mixed; tikhonov type; variational inequalities; mixed variational ... See more keywords
Reissner mixed variational theorem-based finite cylindrical layer methods for the static analysis of functionally graded piezoelectric circular hollow cylinders under electro-mechanical loads
Sign Up to like & getrecommendations! Published in 2017 at "Mechanics of Advanced Materials and Structures"
DOI: 10.1080/15376494.2016.1196773
Abstract: ABSTRACT A unified formulation of Reissner's mixed variational theorem-based finite cylindrical layer methods is developed for the static analysis of simply-supported, multilayered functionally graded piezoelectric material (FGPM) circular hollow cylinders. The material properties of the… read more here.
Keywords: reissner mixed; layer; based finite; mixed variational ... See more keywords
A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1482-0
Abstract: Most mathematical models arising in stationary filtration processes as well as in the theory of soft shells can be described by single-valued or generalized multivalued pseudomonotone mixed variational inequalities with proper convex nondifferentiable functionals. Therefore,… read more here.
Keywords: generalized multivalued; multivalued pseudomonotone; variational inequalities; mixed variational ... See more keywords
Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems
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DOI: 10.1515/gmj-2017-0027
Abstract: Abstract The aim of this paper is to consider a generalized mixed variational-like inequality problem and prove a Minty-type lemma for its related auxiliary problems in a real Banach space. We prove the existence of… read more here.
Keywords: like inequality; variational like; inequality problems; mixed variational ... See more keywords
New Iterative Scheme Involving Self-Adaptive Method for Solving Mixed Variational Inequalities
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DOI: 10.3390/axioms12030310
Abstract: Variational inequalities (VI) problems have been generalized and expanded in various ways. The VI principle has become a remarkable study area combining pure and applied research. The study of variational inequality in mathematics is significantly… read more here.
Keywords: fixed point; adaptive method; mixed variational; self adaptive ... See more keywords
Levitin-Polyak well-posedness of completely generalized mixed variational inequalities in reflexive banach spaces
Sign Up to like & getrecommendations! Published in 2017 at "Tamkang Journal of Mathematics"
DOI: 10.5556/j.tkjm.48.2017.2271
Abstract: Let $X$ be a real reflexive Banach space. In this paper, we first introduce the concept of Levitin-Polyak well-posedness of a completely generalized mixed variational inequality in $X$, and establish some characterizations of its Levitin-Polyak… read more here.
Keywords: levitin polyak; well posedness; mixed variational; completely generalized ... See more keywords