An iterative method and weak sharp solutions for multitime-type variational inequalities

Singh, Shipra; Pitea, Ariana

doi:10.1080/00036811.2019.1679787

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Cited by 3 publications

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“…Thereafter, a systematic study of multi-time problems was initiated by the research group of Udrişte [24][25][26][27]. In this way, a multi-time parameter of evolution approach in optimization theory started to be used and this concept has extensively been explored; see [28][29][30]. Apart from optimization, the concept of a multi-time parameter of evolution is also used in space theory.…”

Section: Introductionmentioning

confidence: 99%

Multi-Time Generalized Nash Equilibria with Dynamic Flow Applications

2021

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We propose a multi-time generalized Nash equilibrium problem and prove its equivalence with a multi-time quasi-variational inequality problem. Then, we establish the existence of equilibria. Furthermore, we demonstrate that our multi-time generalized Nash equilibrium problem can be applied to solving traffic network problems, the aim of which is to minimize the traffic cost of each route and to solving a river basin pollution problem. Moreover, we also study the proposed multi-time generalized Nash equilibrium problem as a projected dynamical system and numerically illustrate our theoretical results.

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Section: Introductionmentioning

confidence: 99%