In this paper, we propose a new iteration process to approximate minimizers of proper convex and lower semi-continuous functions and fixed points of λ-hybrid multivalued mappings in Hilbert spaces. We also provide an example to illustrate the convergence behavior of the proposed iteration process and numerically compare the convergence of the proposed iteration scheme with the existing schemes.

This paper is concerned with the multiplicity of nontrivial solutions in an Orlicz-Sobolev space for a nonlocal problem with critical growth, involving N-functions and theory of locally Lispchitz continuous functionals. More precisely, in this paper, we study a result of multiplicity to the following multivalued elliptic problem:

It is shown for any constant c < 1, that if NPMV have re nements in the class of multivalued functions that are polynomial time computable with c(log n) access to NPSV, then the polynomial time hierarchy collapses to its second level.

It is discussed how the automatic seeking of optimal steady states in biochemical reactors can be achieved by using non-model based extremum-seeking control with semi-global practical stability and convergence properties. A special attention is paid to processes with multiple steady-states and multivalued cost functions. Copyright c ©IFAC 2007

We consider the Cauchy problem for a class of scalar linear dispersive equations with rapidly oscillating initial data. The problem of the high-frequency asymptotics of such models is reviewed, in particular we highlight the difficulties in crossing caustics when using (time-dependent) WKB-methods. Using Wigner measures we present an alternative approach to such asymptotic problems. We first di...

In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a finite family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the propose iterative scheme under some appropriate conditions.

This paper comprises a systematic comparison of several complexity classes of functions that are computed nondeterministically in polynomial time or with an oracle in NP. There are three components to this work. A taxonomy is presented that demonstrates all known inclusion relations of these classes. For (nearly) each inclusion that is not shown to hold, evidence is presented to indicate that t...

in this paper, we establish and prove the existence of best proximity points for multivalued cyclic $f$- contraction mappings in complete metric spaces. our results improve and extend various results in literature.

More work is needed on devising practical, but theoretically wellfounded procedures for doing object-oriented database (OODB) &sign. Besides being practical and having formal properties, these design procedures should alSo be flexible enough to allow for peculiarities that make applications unique. In this paper. we present and discuss an OODB design procedure that addresses these problems. The...