The probabilistic metric space as one of the important generalization of metric space was introduced by K. Menger in 1942. In this paper, we briefly discuss the historical developments of contraction mappings in probabilistic metric space with some fixed point results.

Objective- Our point is to determine if the treatment of the 3rd degree burn wounds makes any difference if sprayed cultured autologous keratinocyte used alone or in combination with Fibrin glue. Design- Animal experimental study. Animals- 30 male Wistar rats. Procedures- Thirty male Wistar rats were selected and their keratinocytes were isolated and cultured from small skin biops...

[Purpose] We often perform physical therapy using motor imagery of muscle contraction to improve motor function for healthy subjects and central nerve disorders. This study aimed to determine the differences in the excitability of spinal motor neurons during motor imagery of a muscle contraction at different contraction strengths. [Subjects] We recorded the F-wave in 15 healthy subjects. [Metho...

for a finite group $g$‎, ‎we study the total character $tau_g$‎ ‎afforded by the direct sum of all the non-isomorphic irreducible‎ ‎complex representations of $g$‎. ‎we resolve for several classes of‎ ‎groups (the camina $p$-groups‎, ‎the generalized camina $p$-groups‎, ‎the groups which admit $(g,z(g))$ as a generalized camina pair)‎, ‎the problem of existence of a‎ ‎polynomial $f(x) in mathbb...

in this paper, we prove the generalized hyers-ulam stability of the quadratic functionalequation$$f(x+y)+f(x-y)=2f(x)+2f(y)$$in non-archimedean $mathcal{l}$-fuzzy normed spaces.

The F-signature is a numerical invariant defined by the number of free direct summands in Frobenius push-forward, and it measures singularities positive characteristic. It can be generalized focusing on nonfree summands. In this paper, we provide several methods to compute (generalized) Hibi ring which special class toric rings. particular, show that computed counting elements symmetric group s...

In some scientific fields, a scaling is able to modify the topology of an observed object. Our goal in the present work is to introduce a new formalism adapted to the mathematical representation of this kind of phenomenon. To this end, we introduce a new metric structure the galactic spaces which depends on an ordered field extension of R. Moreover, some natural transformations of the category ...

In this paper, we prove the generalized Hyers-Ulam stability of the quadratic functionalequation$$f(x+y)+f(x-y)=2f(x)+2f(y)$$in non-Archimedean $mathcal{L}$-fuzzy normed spaces.

In [3], we showed that every F-quasigroup is linear over a special kind of Moufang loop called an NK-loop. Here we extend this relationship by showing an equivalence between the equational class of (pointed) F-quasigroups and the equational class corresponding to a certain notion of generalized module (with noncommutative, nonassociative addition) for an associative ring.

The aim of this work is two fold: first we extend some results concerning the computation fixed point index for sum an expansive mapping and a $k$-set contraction obtained in \cite{DjebaMeb, Svet-Meb}, to case $T+F$, where $T$ such that $(I-T)$ Lipschitz invertible $F$ contraction. Secondly, as illustration our theoretical results, study existence positive solutions classes differential equatio...