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20222025
most citedProjected solution for Generalized Nash Games with Non-ordered Preferences

1 citations · 2 across the 8 of their papers we have counts for

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8 papers

math.OC2025★ 1 cited

Iterative Methods for the Projected Solutions of Quasi-equilibrium Problems

Didier Aussel, Jauny, Asrifa Sultana +1

Aussel et al. (J Optim Theory Appl 170 818-837 2016) introduced the concept of projected solutions for the quasi-variational inequalities with a non-self constraint map, that is, t…

math.OC2024

Variational Analysis of Generalized Games over Banach spaces

Asrifa Sultana, Shivani Valecha

We study generalized games defined over Banach spaces using variational analysis. To reformulate generalized games as quasi-variational inequality problems, we will first form a su…

math.OC2023★ 1 cited

Projected solution for Generalized Nash Games with Non-ordered Preferences

Asrifa Sultana, Shivani Valecha

Any individual's preference represents his choice in the set of available options. It is said to be complete if the person can compare any pair of available options. We aim to init…

math.OC2023

Variational Reformulation of Generalized Nash Equilibrium Problems with Non-ordered Preferences

Asrifa Sultana, Shivani Valecha

The preferences of players in non-cooperative games represent their choice in the set of available options, which meet the completeness property if players are able to compare any…

math.OC2023

Finite Convergence Criteria for Normalized Nash Equilibrium through Weak Sharpness and Linear Conditioning

Asrifa Sultana, Shivani Valecha

The generalized Nash equilibrium problems play a significant role in modeling and analyzing several complex economics problems. In this work, we consider jointly convex generalized…

math.OC2023

Existence Theorems on Quasi-variational Inequalities over Banach Spaces and its Applications to Time-dependent Pure Exchange Economy

Asrifa Sultana, Shivani Valecha

We study a class of quasi-variational inequality problems defined over infinite dimensional Banach space and deduce sufficient conditions for ensuring solutions to such problems un…

math.OC2023

A Class of Quasi-Variational Inequalities with Unbounded Constraint Maps: Existence Results and Applications

Asrifa Sultana, Shivani Valecha

The quasi-variational inequalities play a significant role in analyzing a wide range of real-world problems. However, these problems are more complicated to solve than variational…

math.OC2022

Best Approximate Solution for Generalized Nash Games and Quasi-optimization Problems

Asrifa Sultana, Shivani Valecha

In this article, we consider generalized Nash games where the associated constraint map is not necessarily self. The classical Nash equilibrium may not exist for such games and the…