Cascade search for preimages and coincidences: Global and local versions

Applications of Fixed Point Theorems to the Problem of the Equilibrium Strategy Existence Preservation in a Parametric Family of Antagonistic Games

“…At first, we present some necessary definitions and the formulation of the abovementioned search principle for zeros (see [3,4,5,6]). Definition 3.1.…”

Approximation theorems in metric spaces and functionals strictly subordinated to convergent series

“…In particular, we take advantage of so called functionals strictly subordinated to convergent series (it should be noted that in [15] such functionals were named strictly subjected to convergent series) and functionals compatible with convergent series, which were introduced by the author (see [15,14]). On the one hand, functionals strictly subordinated to convergent series represent some generalizations of (α, β)-search, generally (α, β)-search and almost exactly (α, β)-search functionals (0 < β < α) (see [10][11][12]15,14] for definitions, examples and comparisons). On the other hand, functionals strictly subordinated to convergent series are a particular case of functionals subordinated to convergent series (see [17,18] for the definition and some applications).…”