Subgradient mappings have many roles in variational analysis, such as the formulation of optimality conditions and, in the special case of normal cone mappings, the statement and analysis of variational inequalities and related expressions. Central to the study of perturbations of solutions to systems of conditions in which subgradient mappings appear are concepts of generalized differentiation...

Abstract We study properties of $\mathcal {A}$ A -harmonic and -superharmonic functions involving an operator having generalized Orlicz growth. Our framework embraces reflexive spaces, as well natural variants variable exponent double-phase spaces. In particular, Harnack’s Principle Minimum are provided for f...

Numerical study of various processes leads to the need clarification (extensions) limits applicability computational constructs and modeling tools. For dynamical systems, this question may be related with a generalization concept derivative, which keeps used constructions relevant. In article we introduce weak local differentiability in space Lebesgue integrable functions consider consistency s...

In this paper we show that for any fusion \(\mathcal {B}\) of an association scheme {A}\), the generalized Hamming \(H(n,\mathcal {B})\) is a nontrivial {A})\). We analyze case where {A}\) on strongly-regular graph, and determine parameters all graphs which scheme, \(H(2,\mathcal {A})\), has extra fusions, in addition to one arising from trivial {A}\).

In this paper, we obtain a version of Ekeland's variational principle for interval-valued functions by means the Dancs-Hegedüs-Medvegyev theorem (Dancs et al. (1983) [14]). We also derive two versions involving generalized Hukuhara Gâteaux differentiability as well bifunctions. Finally, apply these new to fixed point theorems, optimization problems, Mountain Pass Theorem, noncooperative games, ...