‎In this paper‎, ‎we introduce the concept of Su-type contractive mapping and establish fixed point theorems for such mappings in the setting of ordered‎ ‎extended partial $b$-metric space‎. ‎We also develop an‎ ‎application for Fredholm type integral equations to‎ ‎validate our main result and a non-trivial example is given to‎ ‎elucidate our work.

Background and purpose: Current evidence shows physical fitness (PF) among children and adolescents in Africa and around the world is declining and the trend is associated with increased cardiovascular morbidity and mortality. This study aimed to evaluate the baseline PF data of primary school children in Lagos State, Nigeria, and to determine the predictors of low PF within the cohort. Materi...

Background & Aims of the Study: Groundwater resources are a crucial component of the ecosystem. Management and cleanup of contamination from groundwater resources requires a long term strategy and a huge amount of investments. Artificial neural networks (ANN) and Geographic Information System (GIS) can be useful in determining management strategies. To protect these valuable resourc...

We consider SU(3)C × SU(2)AL × SU(2)BL × U(1)Y as the low-energy subgroup of supersymmetric SU(3) unification. This may imply small deviations from quarklepton universality at the TeV scale, as allowed by neutron-decay data. New particles are predicted with specific properties. We discuss in particular the new heavy gauge bosons corresponding to SU(2)AL × SU(2)BL → SU(2)L. 1 Hexagonal SU(3) Mod...

The paper presents the reconstruction of most catastrophic debris flows in Gerkhozhan-Su river valley (North Caucasus, Russia) based on a chain mathematical models. Transport-shift model was applied for 6 sections flow formation or intense material increment, while rest FLO-2D hydrodynamic used. A number numerical experiments were carried out transport-shift section origination site with change...

it is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. these conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.furthermore we introduce a new necessary and sucient condition for checkingstability of interv...