The purpose of this paper considers a new class of completely generalized nonlinear quasi-variational-like inclusions in Banach spaces involving finite set-valued mappings and proposes an Ishikawa type iterative algorithm for computing their approximate solutions.

An intersection theorem for set-valued mapping and its application;

Approximation operators based on set-valued mappings in semi-partition approximation space;

On the continuously essential components of fixed points for the set-valued mapping;

The essential components of the set of equilibrium points for set-valued maps and its application;

Optimal conditions of set-valued maps optimization with subdifferential;

Uniform convergence in space of set-valued maps;

Lagrangian duality for vector optimization of set-valued maps;

In this paper,we present Theorems of the connectedness of the sets of Henig efficient and globally proper efficient solution in locally convex spaces for set-valued maps with constraints.

The Subcontinuity, P-continuity and U-contiuity of the Multifunctions Spaces;

intersection, closure, cpmposition andproduct on and multifunction.

In this paper,we gave some results of upper weak continuity of multifunctions and discussed the relation between upper weak continuity and upper star quasicontinuity of multifunction