let r be a g-graded ring and m be a g-graded r-module. in this article, we introduce the concept of graded weakly classical prime submodules and give some properties of such submodules.

Banach's contraction principle has been improved and extensively studied on several generalized metric spaces. Recently, complex-valued $S$-metric spaces have been introduced and studied for this purpose. In this paper, we investigate some generalized fixed point results on a complete complex valued $S$-metric space. To do this, we prove some common fixed point (resp. fixed point) theorems usin...

Ha 7] recently introduced the generalized proximal point algorithm for solving the generalized equation. In this note, we present the generalized proximal point algorithm for convex optimization problems based on Ha's work. The idea behind this algorithm is that instead of adding a quadratic term to all the variables, we add a quadratic term to a subset of the variables. We extend the criteria ...

in this paper, we introduce the (g-$psi$) contraction in a metric space by using a graph.let $f,t$ be two multivalued mappings on $x.$ among other things, we obtain a common fixedpoint of the mappings $f,t$ in the metric space $x$ endowed with a graph $g.$

Excitation-contraction coupling (ECC) relies on temporally synchronized sarcoplasmic reticulum (SR) Ca2+ release via ryanodine receptors (RyRs) at dyadic membrane compartments. Neurohormones, such as endothelin-1 (ET-1), that act G?q-coupled G protein-coupled (GPCRs) modulate dynamics during ECC and induce SR events involving inositol 1,4,5-trisphosphate (InsP3) (InsP3Rs). How the relatively mo...

Azam, A Fisfer, B, Khan, M: Common fixed point theorems in complex valued metric Spaces. Number. Funct. Anal. Optim. . 32(3), 243-253 (2011). B. C. Dhage, Generalized metric spaces and mappings with fixed point, Bull. Calcutt Math. Soc. 84 (1992), 329-336. B. C. Dhage, " On generalized metric spaces and topological structure. II," Pure and applied Mathematika Sciences, Vol. 40, no. 1-...

A generalized complex structure may be understood as a "weakly holomorphic" Poisson structure: given an integrability condition, a generalized complex structure "integrates" to a symplectic groupoid equipped with a weak holomorphic structure, i.e., a compatible holomorphic structure on the associated stack. Similarly, generalized complex branes may be represented as weakly holomorphic coisotrop...

avila and molina [1] introduced the notion of generalized weak structures which naturally generalize minimal structures, generalized topologies and weak structures and the structures α(g),π(g),σ(g) and β(g). this work is a further investigation of generalized weak structures due to avila and molina. further we introduce the structures ro(g) and rc(g) and study the properties of the structur...

*Correspondence: [email protected] 3Department of Mathematics, GDCW, Bosan Road, Multan, Pakistan Full list of author information is available at the end of the article Abstract In this paper, we first introduce a cyclic generalized contraction map in metric spaces and give an existence result for a best proximity point of such mappings in the setting of a uniformly convex Banach space. Then we...