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Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0536-3
Abstract: The aim of this paper is to establish existence and boundedness theorems for perturbed variational inequalities defined by a set-valued mapping without any kind of monotonicity in Banach spaces. The first result is shown that…
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Keywords:
inequalities banach;
banach spaces;
variational inequalities;
theorems perturbed ... See more keywords
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Published in 2018 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0094-x
Abstract: Necessary and sufficient conditions for the existence of a solution to an equilibrium problem are given, in the general case when the function generating the problem is defined on a product between a subset X…
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Keywords:
inequality systems;
existence theorems;
theorems inequality;
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Published in 2018 at "Optimization"
DOI: 10.1080/02331934.2018.1446956
Abstract: Abstract We present an existence result for an equilibrium problem formulated with trifunctions, which is motivated by variational inequalities governed by quasimonotone operators. To prove the existence result, we define the dual problem, and some…
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Keywords:
via duality;
equilibrium;
variational inequalities;
theorems via ... See more keywords
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Published in 2020 at "Filomat"
DOI: 10.2298/fil2002339m
Abstract: In this paper, existence theorems are established for Neumann problems for semilinear elliptic equations at resonance together with Landesman-Lazer condition revisited. Our existence results follow as an application of the Saddle point Theorem together with…
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Keywords:
lazer condition;
existence;
condition revisited;
landesman lazer ... See more keywords