3 papers
math.FA2026
A Further Generalization of the Gale-Nikaido-Kuhn-Debreu Market Equilibrium Theorem
Ranjit Vohra
We extend the important generalizations by Yannelis [25] and Cornet et al [7] of the classical result of Gale, Nikaido, Kuhn and Debreu (the "GNKD theorem") regarding existence of…
math.FA2025
A Generalization of the "Brouwer-Schauder-Tychonoff" Fixed-Point Theorem
Ranjit Vohra
We prove a new fixed - point result for the image Im(j) of any continuous function j from K to (K x K), where K is a compact convex subset of a Hausdorff locally convex space, prov…
math.GM2025
A General Fixed-Point Theorem for Correspondences
Ranjit Vohra
A new local condition on correspondences called the "weak local connectedness property" (WLCP) is introduced. Working in ZFC, it is shown in our main theorem that - under mild rest…