Let E be a real reflexive Banach space with a uniformly Gâteaux differentiable norm. Let K be a nonempty bounded closed convex subset of E, and every nonempty closed convex bounded subset of K has the fixed point property for non-expansive self-mappings. Let f : K → K a contractive mapping and T : K → K be a uniformly continuous pseudocontractive mapping with F T / ∅. Let {λn} ⊂ 0, 1/2 be a seq...

The paper examines studies based on the theory of expansive learning, formulated in 1987. In recent years the theory has been used in a wide variety of studies and interventions. The theory builds on foundational ideas put forward by Vygotsky, Leont’ev, Il’enkov, and Davydov, key figures in the Russian school of cultural–historical activity theory. Studies based on the theory are reviewed in si...

We study expansive dynamical systems in the setting of distributive lattices and their automorphisms, usual notion expansiveness for a homeomorphism compact metric space being particular case when lattice is topology phase ordered by inclusion automorphism one induced homeomorphism, mapping open sets to sets. prove this context generalizations Mañé's Theorem Utz's about finite dimensionality an...

The classification of the grade of shrink and expansion for the expansive soils is very important work for constructions in expansive soil area. Accurate evaluation of the estate of expansive soil may provide scientific data and basis for the prevention of engineering design and construction. This paper brings forward the classification method for expansive soil based on fractal interpolation t...

Expansive soils are considered to be the one of the highly problematic soil. These soils undergo large volume change based on the amount of moisture content.. Because of this behaviour, lightly loaded civil engineering structures founded on the expansive soils gets severely damaged. There are several mitigating techniques available to counteract the problems posed by the expansive soils. In rec...

Expansive laminoplasty for ossification of the posterior longitudinal ligament (OPLL) has had favorable outcomes. Many modifications of expansive laminoplasty have been developed, including expansive laminoplasty with and without spinous process spacers (SPS). The purpose of this study was to determine whether surgical outcomes were similar between expansive laminoplasty surgeries with and with...