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20182025
most citedProjected solution for Generalized Nash Games with Non-ordered Preferences

1 citations · 2 across the 13 of their papers we have counts for

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13 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.FA2023

Fixed Point for Uniformly Local Asymptotic Nonexpansive Map

Pallab Maiti, Asrifa Sultana

Fixed points for uniformly local asymptotic nonexpansive maps are discussed in this article. An approximate fixed point sequence for such a map over a uniformly convex Banach space…

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.FA2023

Mizoguchi-Takahashi local contractions to Feng-Liu contractions

Pallab Maiti, Asrifa Sultana

In this article, we establish that any uniformly local Mizoguchi-Takahashi contraction is actually a set-valued contraction due to Feng and Liu on a metrically convex complete metr…

math.FA2023

Common fixed points for set-valued contraction on a metric space with graph

Pallab Maiti, Asrifa Sultana

In this article, we derive a common fixed point result for a pair of single valued and set-valued mappings on a metric space having graphical structure. In this case, the set-value…

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…

math.FA2022

Weak convergence of the iterations for asymptotically -nonexpansive maps on Banach spaces with a graph

Asrifa Sultana

We have derived that on certain Banach spaces having a graph structure , the iterations for asymptotically -nonexpansive map will converge weakly towards a fixed point. This…

math.FA2018

On the equivalence of the Mizoguchi-Takahashi locally contractive map to Nadler's locally contractive map

Asrifa Sultana, Xiaolong Qin

In this article, we have proved the equivalence between the Mizoguchi-Takahashi uniformly~locally~contractive map to the multi-valued map satisfying the Nadler contractive conditio…