### Browsed byCategory: Number 5

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...