55 research outputs found
New results on systems of generalized vector quasi-equilibrium problems
In this paper, we firstly prove the existence of the equilibrium for the
generalized abstract economy. We apply these results to show the existence of
solutions for systems of vector quasi-equilibrium problems with multivalued
trifunctions. Secondly, we consider the generalized strong vector
quasi-equilibrium problems and study the existence of their solutions in the
case when the correspondences are weakly naturally quasi-concave or weakly
biconvex and also in the case of weak-continuity assumptions. In all
situations, fixed-point theorems are used.Comment: 24 page
Random fixed point theorems under mild continuity assumptions
In this paper, we study the existence of the random fixed points under mild
continuity assumptions. The main theorems consider the almost lower
semicontinuous operators defined on Frechet spaces and also operators having
properties weaker than lower semicontinuity. Our results either extend or
improve corresponding ones present in literature.Comment: 15 page
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