In this paper, we introduce two iterative schemes by a modified Krasnoselskii-Mann algorithm for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of multivalued nonexpansive mappings in Hilbert space. We prove that the sequence generated by the proposed method converges strongly to a common element of the set of solutions of equilibruim proble...

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 focuses on complexity classes of partial functions that are computed in polynomial time with oracles in NPMV, the class of all multivalued partial functions that are computable nondeterministically in polynomial time. Concerning deterministic polynomial-time reducibilities, it is shown that 1. a multivalued partial function is polynomial-time computable with k adaptive queries to NPM...

Multivalued projections are applied to the study of weighted least squares solutions linear relations equations (or inclusions) and some its applications. To this end a matrix representation multivalued with respect closure their ranges is described.

We propose a new approach to the design of relational database schemes. The main features of the approach are: (4 A combination of the traditional decomposition and synthesis approaches, thus allowing the use of both functional and multivalued dependencies. (b) Separation of structural dependencies relevant for the design process from integrity constraints, i.e., constraints that do not bear an...

We consider the analytic properties of Feynman integrals from perspective general A-discriminants and A-hypergeometric functions introduced by Gelfand,Kapranov Zelevinsky (GKZ). This enables us, to give a clear mathematically rigour description singular locus, also known as Landau variety, via principal A-determinants. comprise various second type singularities. Moreover, Horn-Kapranov-parametr...

Abstract In this paper, a nonlinear elliptic obstacle problem is studied. The nonhomogeneous partial differential operator generalizes the notions of p -Laplacian while on right hand side we have multivalued convection term (i.e., reaction may depend also gradient solution). main result paper provides existence solutions as well bondedness and closedness set weak problem, under quite general as...

The study introduces a new class of fuzzy neurons and fuzzy neural networks exploiting a model of a generalized multivalued exclusive-OR (XOR) operation. The proposed neural architecture is useful in an algebraic representation (description) of fuzzy functions regarded as mappings between unit hypercubes, say [0,1] [0,1]. Some underlying properties of the fXOR neurons are discussed and a detail...

Bilevel optimization problems with multivalued objective functions in both levels are first replaced by a problem with a parametric lower level using a convex combination of the lower level objectives. Thus a nonconvex multiobjective bilevel optimization problem arises which is then transformed into a parametric bilevel programming problem. The investigated problem has been considered in the pa...

Nondeterministic multivalued functions with values that are poly nomially veri able and guaranteed to exist form an interesting complexity class between P and NP We show that this class which we call TFNP contains a host of important problems whose membership in P is currently not known These in clude besides factoring local optimization Brouwer xed points a computational version of Sperner s L...