In this paper, we prove some fixed point results in the setting of a Banach space via cyclic \((\alpha ,\beta ,z)\)-admissible mapping imbedded simulation function. Our extend and generalize well known existing literature.

In this paper we study the asymptotic dynamics of the stochastic strongly damped wave equation with multiplicative noise under homogeneous Dirichlet boundary condition. We investigate the existence of a compact random attractor for the random dynamical system associated with the equation.

Ecologists have traditionally viewed the total species diversity within a set of communities as the product of the average diversity within a community (alpha) and the diversity among the communities (beta). This multiplicative concept of species diversity contrasts with the lesser known idea that and -diversities sum to give the total diversity. This additi e partitioning of species di ersity ...

We study the non-parametric estimation of an unknown survival function S with support on R+ based a sample multiplicative measurement errors. The proposed fully-data driven procedure is Mellin transform and regularisation inverse by spectral cut-off. upcoming bias-variance trade-off dealt data-driven choice cut-off parameter. In order to discuss bias term, we consider Mellin-Sobolev spaces whic...

We define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital Banach algebra A and show that the δ-approximate spectrum σ_δ (a) of a is compact. The relation between the δ-approximate spectrum and the usual spectrum is investigated. Also an analogue of the classical Gleason-Kahane-Zelazko theorem is established: For each ε>0, there is δ>0 such that if ϕ is...

Here, we analyze the (2+1)-dimensional stochastic modified Kordeweg–de Vries (SmKdV) equation perturbed by multiplicative white noise in Stratonovich sense. We apply mapping method to obtain new trigonometric, elliptic, and rational fractional solutions. Because of importance KdV characterizing behavior waves shallow water, obtained solutions are beneficial interpreting certain fascinating phys...

we define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital banach algebra a and show that the δ-approximate spectrum σ_δ (a) of a is compact. the relation between the δ-approximate spectrum and the usual spectrum is investigated. also an analogue of the classical gleason-kahane-zelazko theorem is established: for each ε>0, there is δ>0 such that if ϕ is...

For a graph $G$ with edge set $E(G)$, the multiplicative sum Zagreb index of $G$ is defined as$Pi^*(G)=Pi_{uvin E(G)}[d_G(u)+d_G(v)]$, where $d_G(v)$ is the degree of vertex $v$ in $G$.In this paper, we first introduce some graph transformations that decreasethis index. In application, we identify the fourteen class of trees, with the first through fourteenth smallest multiplicative sum Zagreb ...

We introduce the concept of generalized \(\beta\) - \(\gamma\) Z contraction mapping with respect to a simulation function ξ and study existence fixed points for such mappings in complete -metric spaces. Further, we extend it partially ordered