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Now showing items 1-10 of 20

#### On the Some Non Extandable Regular P-2 Sets

(Univ Putra Malaysia Press, 2018)

Diophantine 3-tuples with property P-k, for k an integer, are sets of n positive integers such that product of any two of them by adding k is a square. In the present paper, we consider some regular P-k- triples and prove ...

#### Fibonacci Sequence and Continued Fraction Expansions in Real Quadratic Number Fields

(Univ Putra Malaysia Press, 2017)

In 2002, Tomita and Yamamuro defined several theorems for fundamental unit of certain real quadratic number fields. Although, there are infinitely many values of d having all 1s in the symmetric part of continued fraction ...

#### PIECEWISE QUADRATIC BOUNDING FUNCTIONS FOR FINDING REAL ROOTS OF POLYNOMIALS

(Amer Inst Mathematical Sciences-Aims, 2021)

In this paper, our main interest is to create/ construct a new useful and outstanding algorithm to obtain roots of the real polynomial represented by f(x) = c(0) +c(1)x+ ... + c(i)x(i) + ... + c(n)(x)n where coefficients ...

#### On the generalized C*- valued metric spaces related with Banach fixed point theory

(Inst Advanced Science Extension, 2017)

The Banach contraction principle, which shows that every contractive mapping has a unique fixed point in a complete metric space, has been extended in many directions. One of the branches of this theory is devoted to the ...

#### A Note on the Structure of Certain Real Quadratic Number Fields

(Springer International Publishing Ag, 2017)

The aim of this paper is to determine the general forms of the continued fraction expansions of the quadratic irrational number w(d) which is integral basis element of Z [1+root d/2] also determine t(d); u(d) which are the ...

#### Significant role of the specific prime number p = 257 in the improvement of cryptosystems

(Bulgarian Acad Science, 2020)

Cryptology is the significant science which is inseparable from the means of communication of secrets. In a safe manner, it has the main objective of transmitting (potentially sensitive) information between two interlocutors. ...

#### On the C*-algebra valued G-metric space related with fixed point theorems

(Karaganda State Univ, 2019)

There are many fixed point results in the various kinds of metric spaces such as b-metric spaces, quaternion metric spaces, G-metric spaces, uniform spaces, non-commutative Banach spaces etc. In this work, we consider the ...

#### Some results on a special type of real quadratic fields

(Karaganda State Univ, 2019)

In this paper, we determine the real quadratic fields Q(root d) coincide with positive square-free integers d including the continued fraction expanison form of w(d) - [a(0);7,7,...7,a(l)/l-1]. Furthermore, we deal with ...

#### An Algorithm for Explicit Form of Fundamental Units of Certain Real Quadratic Fields and Period Eight

(European Journal Pure & Applied Mathematics, 2015)

In this paper, we have given an explicit formulation to determine the form of the fundamental units of certain real quadratic number fields. This new algorithm for such quadratic fields is first in the literature and it ...

#### Common Fixed Point in C*-Algebra b-Valued Metric Space

(Amer Inst Physics, 2016)

In this present paper, we establish the existence and uniqueness of the common fixed point theorem for self-maps in C*-algebra valued b-metric spaces. Besides, we give example to illustrate our theorem. Findings obtained ...