Articles

Fixed point results of various cyclic contractions in metric spaces -by G V R Babu, K K M Sarma, V A Kumari and P Sudheer Kumar

Fixed point results of various cyclic contractions in metric spaces -by G V R Babu, K K M Sarma, V A Kumari and P Sudheer Kumar

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...

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A new computational method for smooth solution of first order nonlinear Cauchy problem -by A. Saravanan, N. Magesh and A. John Christopher

A new computational method for smooth solution of first order nonlinear Cauchy problem -by A. Saravanan, N. Magesh and A. John Christopher

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...

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Subadditive and completely monotonic properties of the tricomi confluent hypergeometric functions -by B. Ravi and A. Venkat Laxmi

Subadditive and completely monotonic properties of the tricomi confluent hypergeometric functions -by B. Ravi and A. Venkat Laxmi

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    ...

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Common Fixed Point Theorems for W-Compatible maps of type $(P)$ in Intuitionistic Generalized Fuzzy Metric Spaces -by M. Jeyaraman, R. Muthuraj, M. Sornavalli and Zead Mustafa

Common Fixed Point Theorems for W-Compatible maps of type $(P)$ in Intuitionistic Generalized Fuzzy Metric Spaces -by M. Jeyaraman, R. Muthuraj, M. Sornavalli and Zead Mustafa

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....

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Further development of secant-type methods for solving nonlinear equations -by R. Thukral

Further development of secant-type methods for solving nonlinear equations -by R. Thukral

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...

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Compactness and Continuity on Neutrosophic Soft Metric Space -by Tuhin Bera and Nirmal Kumar Mahapatra

Compactness and Continuity on Neutrosophic Soft Metric Space -by Tuhin Bera and Nirmal Kumar Mahapatra

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...

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$\mathcal{A}\mathcal{G}_{\I^{*}}$-sets, $ \mathcal{B}G_{\I^{*}}$-sets and $\delta\beta_I$-open sets in ideal topological spaces -by Wadei AL-Omeri and Takashi Noiri

$\mathcal{A}\mathcal{G}_{\I^{*}}$-sets, $ \mathcal{B}G_{\I^{*}}$-sets and $\delta\beta_I$-open sets in ideal topological spaces -by Wadei AL-Omeri and Takashi Noiri

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....

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Existence of a Non-Oscillating solution for a System of Nonlinear ODEs -by B.V.K. Bharadwaj and Pallav Kumar Baruah

Existence of a Non-Oscillating solution for a System of Nonlinear ODEs -by B.V.K. Bharadwaj and Pallav Kumar Baruah

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...

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On Fuzzy Sets with Fuzzy Baire Property -by G.Thangaraj and R.Palani

On Fuzzy Sets with Fuzzy Baire Property -by G.Thangaraj and R.Palani

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...

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Supra $g^{*}$-Closed Sets in Supra Bitopological Spaces -by R.Gowri and A.K.R.Rajayal

Supra $g^{*}$-Closed Sets in Supra Bitopological Spaces -by R.Gowri and A.K.R.Rajayal

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...

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On the higher order rational difference equation $x_{n+1}=\frac{ \alpha +\beta x_{n-k}}{A+Bx_{n-k}}$ -by Abdul Khaliq and Sk.Sarif Hassan

On the higher order rational difference equation $x_{n+1}=\frac{ \alpha +\beta x_{n-k}}{A+Bx_{n-k}}$ -by Abdul Khaliq and Sk.Sarif Hassan

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 $,...

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Some fixed point results in cone $b$-metric spaces -by Pawan Kumar, Z K Ansari

Some fixed point results in cone $b$-metric spaces -by Pawan Kumar, Z K Ansari

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...

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Fixed point theorems for $(\alpha-\psi)$ contractions on multiplicative and partially ordered multiplicative metric spaces K.P.R.SASTRY, K.K.M.SARMA, S.LAKSHMANA RAO

Fixed point theorems for $(\alpha-\psi)$ contractions on multiplicative and partially ordered multiplicative metric spaces K.P.R.SASTRY, K.K.M.SARMA, S.LAKSHMANA RAO

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,...

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Interpolation and Semi-group on Hilbert and Hardy Spaces of Dirichlet Series Ali Mohamed Abu Oam

Interpolation and Semi-group on Hilbert and Hardy Spaces of Dirichlet Series Ali Mohamed Abu Oam

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...

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On the General Finite Sum of $r^{k}$ and Its Applications Ahmed Ashraf Ali

On the General Finite Sum of $r^{k}$ and Its Applications Ahmed Ashraf Ali

Abstract: This paper analyses the field of mathematics, number theory, around the divergence and convergence of series of varying forms such as P-series, geometric series and even more compound functions including the hyperbolic trigonometric function of sine, cosine and tangent. The purpose is typically to support...

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H$\ddot{O}$lder regularity of the parabolic $p$-Laplacian Sylvanus Kupongoh Samaila and Edikan E. Akpanibah

H$\ddot{O}$lder regularity of the parabolic $p$-Laplacian Sylvanus Kupongoh Samaila and Edikan E. Akpanibah

Abstract: This paper investigate quasi-linear parabolic $p$-Lapalace equation of the type \begin{equation*} \frac{\partial \varphi}{\partial t} - \text{div}(\frac{h(|\nabla \varphi|)\nabla \varphi}{|\nabla \varphi|})= 0,\end{equation*} under suitable assumptions. We provide a single geometric setting for which a bounded weak solution $\varphi$, is locally H$\ddot{o}$lder continuous in the Sobolve-Orlicz Space $W^1L^{\phi}(\Omega)$...

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Fixed Point Theorems for Generalized Rational Contractions in Complex Valued $b$-Metric Spaces Anil Kumar Dubey, Shweta Bibay and R.P. Dubey

Fixed Point Theorems for Generalized Rational Contractions in Complex Valued $b$-Metric Spaces Anil Kumar Dubey, Shweta Bibay and R.P. Dubey

Abstract: In this paper, some fixed point theorems for generalized rational contractions in complex valued $b$-metric space are proved. These results extend and improve several well known results obtained previously. Keywords: Complete complex valued $b$-metric space, fixed point.   DOWNLOAD PDF          DOWNLOAD XML  ...

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Optimal Expected Value of Assets Under Black-Scholes Equation with Transaction Costs Joy Ijeoma Adindu-Dick

Optimal Expected Value of Assets Under Black-Scholes Equation with Transaction Costs Joy Ijeoma Adindu-Dick

Abstract:  This paper deals with optimal expected value of assets under Black-Scholes equation with transaction costs. The partial differential equation for option pricing with transaction costs on the domain $(P,T)\in(0,\infty)\times (0,T)$ with terminal condition $C(P,T)=max(P-E,0),P\in(0,\infty)$ for European call options with strike price $E$, and a...

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