In this paper, we investigate relation between weak subdifferential and augmented normal cone. We define augmented normal cone via weak subdifferential and vice versa. The necessary conditions for the global maximum are also stated. We produce preliminary properties of augmented normal cones and discuss them via the distance function. Then we obtain the augmented normal cone for the indicator f...

‎The aim of this paper is to establish the equivalence between the concepts‎ ‎of an $S$-metric space and a cone $S$-metric space using some topological‎ ‎approaches‎. ‎We introduce a new notion of a $TVS$-cone $S$-metric space using‎ ‎some facts about topological vector spaces‎. ‎We see that the known results on‎ ‎cone $S$-metric spaces (or $N$-cone metric spaces) can be directly obtained‎ from...

Our theorems are on ordered cone metric spaces which are not necessarily normal. In the end, we describe the application of the main results in the integral equation.Although Du in [W‎. ‎S‎. ‎Du‎, ‎A note on cone metric fixed point theory and its equivalence‎, ‎Nonlinear Analysis‎, ‎72(2010) 2259-2261.]‎, ‎showed that the fixed point results in the setting of cone...

  Background & Aims of the Study: Dust is one of the detrimental factors in workplace of tile industry. Exposure to excessive amount of dust can create various hazards to the workers. Therefore, the present study aimed to measure the concentration of environmental and respirable dust in air of Birjand Niloofar tile Industry. Materials & Methods: In the present study, using personal...

The objective of this thesis is to optimise the fragmentation at Boliden Minerals open pit mine Aitik. Blasting is one of the main operations in mining, and its performance has a major impact on the overall economy of the mine. The fragmentation process affects not only the local productivity and unit costs of the mining department. It also affects the performance of the subsequent comminution ...

This paper presents the innovation possibilities of crushers functional parts and results layers’ renovation analyses surfaces worn by biomass crusher hammers. The hammers made Hardox 400 material were renovated manual arc welding method (welded with a filled wire electrode its own protection). As an additive material, Lincore 60-O tubular from Lincoln Electric was used. quality weld layers ass...