We introduce a discrete network approximation to the problem of the effective conductivity of the high contrast, highly packed composites in three dimensions. The inclusions are irregularly (randomly) distributed in a hosting medium, so that a significant fraction of them may not participate in the conducting spanning cluster. For this class of spacial arrays of inclusions we derive a discrete ...

A parallel splitting method is proposed for solving systems of coupled monotone inclusions in Hilbert spaces, and its convergence is established under the assumption that solutions exist. Unlike existing alternating algorithms, which are limited to two variables and linear coupling, our parallel method can handle an arbitrary number of variables as well as nonlinear coupling schemes. The breadt...

Using the new analysis techniques, the existence and iterative approximation problem of a solution for a class of nonlinear variational inclusions with accretive type mappings are discussed in arbitrary Banach spaces. The results extend and improve some recent results.

The session will focus on the recent developments in the theory of nonlinear evolution equations, optimal control theory and related topics including real life problems of mechanics, biology, economics, and medicine. The main topics of the session include, but are not limited to, analysis of solutions of evolution problems and partial differential equations, operator inclusions, evolution inclu...

We use Nadler’s theorem and the resolvent operator technique for m-accretive mappings to suggest an iterative algorithm for solving generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces. We prove the existence of solutions for our inclusions without compactness assumption and the convergence of the iterative sequences generated by the algorithm i...

Abstract This article aims to introduce and analyze the viscosity method for hierarchical variational inequalities involving a ϕ -contraction mapping defined over common solution set of inclusion fixed points nonexpansive on Hadamard manifolds. Several consequences composed its convergence theorem are presented. The results this generalize extend some existing from Hilbert/Banach spaces We also...