Abstract: In this paper, we use $C$-class function to generalized the concept of a new contractive conditions of integral type on a complete $S_{b}$- metric space. Keywords: $S_{b}$-metric space, $C$-class functions and fixed point. DOWNLOAD PDF DOWNLOAD XML How...
Abstract: In the paper, Weak Continuity Forms, Graph Conditions and Applications, the concept of $u$-continuous functions are introduced and presented several applications of such functions. In the present study, by generalizing the concept of $u$-continuity using the notion of an $\alpha$-set, introduced by O. Njastad ,...
Abstract: In this paper, we introduce two new subclasses of $\Sigma _{m}$ consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk $\mathbb{U}$. Furthermore, we establish bounds for the coefficients for these subclasses. Keywords: Starlike and convex functions, Chebyshev polynomials, $m$-fold symmetric functions, coefficient...
Abstract: An advection-dispersion equation subjected to temporally and spatially dependent groundwater velocity, dispersion coefficient along with a time dependent pulse type input of time varying nature is solved for one dimensional semi-infinite porous medium. Input concentration is any continuous smooth function of time acts up to...
Abstract: In this paper, the stability in the occurrence of HB Virus in a population was considered. The equilibrium states were examined. The stability in the occurrence of the HB Virus was verified using the Jacobian method. It was shown that the disease occurrence is unstable...
Abstract: In this paper, we introduce various cyclic contractions, namely $\varphi$-cyclic contractive mapping, almost Geraghty cyclic contraction mapping and almost $\psi$-cyclic contraction mapping. We prove the existence of fixed points of these maps in complete metric spaces. We draw some corollaries and provide examples in support...
Abstract: A smooth solution of the first order nonlinear hyperbolic partial differential equation arising in transport phenomena is discussed. Although the method of characteristics is offered within the literature, it conjointly comes across some difficulties like it is valid only for first order hyperbolic partial differential...
Abstract: In the paper, the authors establish some sub-additive and completely monotonic properties of the Tricomi confluent hypergeometric functions. As an application, authors derive some bounds for modified Bessel's function of the second kind. Keywords: Sub and Super-additive functions, Tricomi conuent hypergeometric function. DOWNLOAD PDF ...
Abstract: In this paper we introduce the concept of W-compatible maps of type (P) in intuitionistic generalized fuzzy metric space. Also we proved common fixed point theorems for four self maps in intuitionistic generalized fuzzy metric spaces. Keywords: $Q$-fuzzy, Intuitionistic generalized fuzzy metric space, Common fixed point....
Abstract: The objective of this paper is to define new improved Secant-type methods for finding simple root of nonlinear equations. In terms of computational cost the new iterative methods requires two evaluations of functions per iteration. It is shown and proved that the new methods have...
Abstract: In this paper, the notion of compact neutrosophic soft metric space is introduced. The concept of neutrosophic soft function and the composition of functions in a neutrosophic soft metric space along with suitable examples also have been brought. The continuity and uniform continuity of a...
Abstract: The aim of this paper is to introduce and study the notions of $ \mathcal{G}_{\I^{*}}$-sets, $\mathcal{A}\mathcal{G}_{\I^{*}}$-sets and $ \mathcal{B}G_{\I^{*}}$-sets sets in ideal topological spaces. Properties of $ \mathcal{G}_{\I^{*}}$-sets, $\delta-C$-sets, $\mathcal{A}\mathcal{G}_{\I^{*}}$-sets, $ \mathcal{B}G_{\I^{*}}$-sets and $\mathcal{E}_{\I^{*}}$-open sets are investigated. Moreover, the relationships among these sets are investigated....
Abstract: In this paper we have considered a systems of ODEs of second order and have shown the existence of a non oscillating solution for such system. We have applied the fixed point technique to show that under certian conditions there exists at least one solution...
Abstract: The distance $d_G(u,v)$ between vertices $u$ and $v$ in $G$ is the length of a shortest $u-v$ path in $G$. The eccentricity of a vertex $v$ in $G$ is the integer $e_G(v)= \max\{ d_G(v,u) \colon u\in V_G\}$. The diameter of $G$ is the integer $d(G)=...
Abstract: In this paper, the concept of fuzzy sets with the fuzzy Baire property in fuzzy topological spaces is introduced and studied. Several characterizations of fuzzy sets with the fuzzy Baire property, are established. Keywords: Fuzzy dense set, fuzzy somewhere dense set,fuzzy nowhere dense set,fuzzy first category...
Abstract: The objective of this paper is to introduce a new class of sets $S_{\uptau_{ij}}$-$g^{*}$-closed sets and $S_{\uptau_{ij}}$-$g^{*}$-open sets in supra bitopological spaces and some properties of these sets are investigated. Also, two supra bitopological spaces $S_{\uptau_{ij}}$-$T_{1/2}^{*}$ and $S_{\uptau_{ij}}$-$T_{1/2}^{**}$-spaces are introduced. Keywords: Supra bitopology, $S_{\uptau_{ij}}$-$g^{*}$-closed sets, $S_{\uptau_{ij}}$-$g^{*}$-open...
Abstract: In this paper, we have investigated a nonlinear rational difference equation of higher order. Our concentration is on invariant intervals, periodic character, the character of semicycles and global asymptotic stability of all positive solutions of \begin{equation*} x_{n+1}=\dfrac{\alpha +\beta x_{n-k}}{A+Bx_{n-k}},\;\;\;n=0,1,..., \end{equation*} where the parameters $\alpha $,...
Abstract: In this paper, we proved some fixed point theorems of contraction mappings in cone $b$-metric spaces. Keywords: Fixed point,Cone Metric Spaces, Complete Cone Metric Spaces, Cone $b$-Metric Spaces. DOWNLOAD PDF DOWNLOAD XML How to cite this article: Pawan Kumar, Z...
Abstract: In this paper we introduce the notion of generalized $(\alpha,\psi)-$ contractive mappings on a multiplicative metric space and partially ordered multiplicative metric space and prove some fixed point theorems for such contractions. Also we provide two supporting examples. Keywords: Multiplicative metric spaces, generalized $(\alpha,\psi)-$ contractive mappings,...
Abstract: We investigate that a bounded sequence of points in the half plane $\sigma > \frac{1}{2}$ is an interpolating sequence for Hilbert space of ordinary Dirichlet series with square summable coefficiens. Also, in the half plane $\sigma > \frac{1}{2}$ we discuss the wold decomposition for...