in this paper, we introduce the (g-$psi$) contraction in a metric space by using a graph.let $f,t$ be two multivalued mappings on $x.$ among other things, we obtain a common fixedpoint of the mappings $f,t$ in the metric space $x$ endowed with a graph $g.$

We study the class coNPMV of complements of NPMV functions. Though defined symmetrically to NPMV, this class exhibits very different properties. We clarify the complexity of coNPMV by showing that it is essentially the same as that of NPMVNP. Complete functions for coNPMV are exhibited and central complexity-theoretic properties of this class are studied. We show that computing maximum satisfyi...

With this paper we present a Multivalued Evolutionary Algorithm (MEA) which is inspired by fuzzy set theory. The genetic representation and encoding is done in such a way that no inferences can be drawn from phenotype to genotype. This representation innuences the used genetic operators. The basic operators of the algorithm will be explained and comparisons for global optimization problems with...

There are several practical problems of knowledge representation where it is more natural to talk in terms of the set of sentences related to a given topic than to make explicit all the sentences in this set. A problematic feature of classical logic is that if we want to represent this set by a small set which is closed under logical consequence, we can generate sentences related to new topics....

In this paper, we introduce a new definition of L-fuzzy multivalued mapping and investigate some of their properties. Mathematics Subject Classification: 54A40, 54C08, 54C60

The Consensus problem is a fundamental problem one has to solve to implement reliable services or applications on top of asynchronous distributed systems prone to failures. Unfortunately , this problem cannot be solved in those systems as soon as one process can crash (Fischer-Lynch-Paterson's impossibility result). Two approaches have been investigated to circumvent this impossibility result. ...

We consider the system of equations governing an incompressible immiscible two-phase flow within an heterogeneous porous medium made of two different rock types. Since the capillary pressure function depends on the rock type, the capillary pressure field might be discontinuous at the interface between the rocks. We introduce multivalued phase pressures to give a sense to the transmission condit...

B. Damjanovi? and D. Dori?, Multivalued generalizations of the Kannan fixed point theorem, Filomat , vol. 25 (1) , DOI: 10. 2298/FIL 1101125D, (2011), 125-131. B. E. Rhoades and M. Abbas, Maps satisfying generalized contractive condition of integral type for which F(T) = F(Tn), International Journal of Pure and Applied Mathematics, vol. 45, no. 2 (2008), 225-231. D. Dori? and R. Lazovi?, Some S...