Nash equilibria for componentwise variational systems1 year agoAbstract In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of…
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems1 year agoAbstract In this paper we establish some approximation versions of the classical Dinkelbach algorithm for nonlinear fractional optimization problems in…
Localization of solutions for semilinear problems with poly-Laplace type operators1 year agoAbstract The paper presents an abstract theory regarding the problems with semilinear operator equations involving iterates of a strongly monotone…
Nonlinear alternatives of hybrid type for nonself vector-valued maps and application2 years agoAbstract In this paper we obtain nonlinear alternatives of Leray-Schauder and Monch type for nonself vector-valued operators, under hybrid conditions…
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media2 years agoAbstract Having in view a model proposed by Nield and Kuznetsov (Transp Porous Media 59:325–339, 2005; Transp Porous Media 96:495–499,…
Inequalities and approximation theory2 years agoAbstract The purpose of this paper is twofold. Firstly, we present an equivalence property involving isotonic linear functionals. Secondly, by…
Iterates of some bivariate approximation process via weakly Picard operators2 years agoAbstract In the present paper we introduce a general class of positive operators of discrete type acting on the space…
Iterates of a class of discrete linear operators via contraction principle2 years agoAbstract In this paper we are concerned with a general class of positive linear operators of discrete type. Based on…
Iterates of multidimensional approximation operators via Perov theorem2 years agoAbstractThe starting point is an approximation process consisting of linear and positive operators. The purpose of this note is to…
Krasnoselskii type theorems in product Banach spaces and applications to systems of nonlinear transport equations and mixed fractional differential equations3 years agoAbstractIn this paper, we use a new technique for the treatment of systems based on the advantage of vector-valued norms…