In this paper, we consider more general forms of generalized vector quasi-equilibrium problems for multivalued maps which include many known vector quasi-equilibrium problems and generalized vector quasi-variational inequality problems as special cases. We establish some existence results for solutions of these problems under pseudomonotonicity and u-hemicontinuity/ -hemicontinuity assumptions.

in the present paper‎, ‎we introduce the concept of generalized multivalued $f$ -‎contraction mappings and give a fixed point result‎, ‎which is a proper‎ ‎generalization of some multivalued fixed point theorems including nadler's‎.

We provide theorems extending both Kakutani and Browder fixed points theorems for multivalued maps on topological vector spaces, as well as some selection theorems. For this purpose we introduce convex structures more general than those of locally convex and non-locally convex topological vector spaces or generalized convexity structures due to Michael, van de Vel, and Horvath.

We consider symmetric multivalued vector quasiequilibrium problems in topological vector spaces. Sufficient conditions for the solution existence are established under relaxed assumptions, which are shown by examples to be essential, easy to check and more advantageous than recent known results. Applications to lower and upper bounded quasiequilibrium problems and to coincidence point problems ...

Abstract This article analyses two schemes: Mann-type and viscosity-type proximal point algorithms. Using these schemes, we establish Δ-convergence strong convergence theorems for finding a common solution of monotone vector field inclusion problems, minimization problem, fixed multivalued demicontractive mappings in Hadamard spaces. We apply our results to find mean median values probabilities...

The multivalued flow induced by a PC vector field defined on a manifold surface with no boundary is shown to be upper semicontinuous and admissible in [7]. Upper semicontinuity means that the limit of any convergent sequence of trajectory segments defined on a time interval [0,h] is a trajectory segment (defined on the same time interval). This property can be viewed as an extension of flow con...