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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…
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…
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…
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…
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…
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…
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…
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…