# Articles

Fixed point results of integral type on complete $S_{b}$-metric space using $C$-class functions -by Langpoklakpam Premila Devi, Laishram Shambhu Singh

## Fixed point results of integral type on complete $S_{b}$-metric space using $C$-class functions -by Langpoklakpam Premila Devi, Laishram Shambhu Singh

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...

A study of generalized continuous functions -by Zeinab Bandpey and Bhamini M. P. Nayar

## A study of generalized continuous functions -by Zeinab Bandpey and Bhamini M. P. Nayar

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 ,...

Coefficient bounds for a subclass of $m$ - fold symmetric bi-univalent functions with Chebyshev polynomial -by G.Thirupathi

## Coefficient bounds for a subclass of $m$ - fold symmetric bi-univalent functions with Chebyshev polynomial -by G.Thirupathi

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...

One-Dimensional Solute Transport in a Heterogeneous Porous Media with Pulse Type Input Source -by R. R. Yadav and Joy Roy

## One-Dimensional Solute Transport in a Heterogeneous Porous Media with Pulse Type Input Source -by R. R. Yadav and Joy Roy

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...

Stability analysis of the transmission dynamics of hepatitis B Virus infection with controls in a population -by Remigius Okeke Aja and David Omale

## Stability analysis of the transmission dynamics of hepatitis B Virus infection with controls in a population -by Remigius Okeke Aja and David Omale

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...

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...

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...

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    ...

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....

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...

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...

$\mathcal{A}\mathcal{G}_{\I^{*}}$-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....

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...

Hangable graphs Mateusz Miotk and Jerzy Topp