ORCID "OZER, Ozen/0000-0001-6476-0664" için listeleme
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Common Fixed Point in C*-Algebra b-Valued Metric Space
Özer, Özen; Omran, S. (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 ... -
A computational technique for determining the fundamental unit in explicit types of real quadratic number fields
Özer, Özen; Salem, Abdel Badeh M. (Inst Advanced Science Extension, 2017)In real quadratic number field Q (root d), integral basis element is denoted by w(d) = [a(0); a(1), a(2), ... , a(l)(d)(-1), a(l(d))] for the period length l(d). The fundamental unit epsilon(d) of real quadratic number ... -
Determination of the Some Results for Coupled Fixed Point Theory in C*- Algebra Valued Metric Spaces
Omran, Saleh; Özer, Özen (Indonesian Mathematical Soc, 2020)In the present paper, we introduce the coupled fixed point theorem in C*-algebra valued metric spaces. We get a C*-algebra valued metric space which get values in noncomutative operators. We demonstrate existance and ... -
Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials
Aracı, Serkan; Özer, Özen (Springeropen, 2015)In the present paper, we aim to specify a p-adic continuous function for an odd prime inside a p-adic q-analog of the extended Dedekind-type sums of higher order according to extended q-Euler polynomials (or weighted q-Euler ... -
Fibonacci Sequence and Continued Fraction Expansions in Real Quadratic Number Fields
Özer, Özen (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 ... -
Fundamental units for real quadratic fields determined by continued fraction conditions
Özer, Özen (Amer Inst Mathematical Sciences-Aims, 2020)The aim of this paper is to obtain the real quadratic fields Q (root d) including omega(d) = [a(0) ; ; /gamma, gamma, ..., gamma, a(l) } l-1 where l = l (d) is the period length and gamma is a positive odd integer. Moreover, ... -
A Note on the Fundamental Unit in Some Types of the Real Quadratic Number Fields
Özer, Özen (Amer Inst Physics, 2016)Let k = Q(root d) be a real quadratic numbefield where d > 0 is a positive square-free integer. The map d -> Q(root d) is a bijection from the set off all square-free integers d # 0,1 to the set of all quadratic fields ... -
A Note on the Structure of Certain Real Quadratic Number Fields
Özer, Özen (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 ... -
On ternary biquadratic Diophantine equation 11(x(2) - y(2))
Vidhyalakshmi, S.; Gopalan, M. A.; Thangam, S. A.; Özer, O. (Bulgarian Acad Science, 2019)We obtain infinitely many non-zero integer triples (x, y, z) satisfying the non- homogeneous bi-quadratic equation with three unknowns 11(x(2) - y(2)) + 3(x+ y) = 10z(4). Various interesting properties among the values of ... -
On the C*-algebra valued G-metric space related with fixed point theorems
Özer, Özen; Omran, Saleh (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 ... -
On the generalized C*- valued metric spaces related with Banach fixed point theory
Özer, Özen; Omran, Saleh (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 ... -
On the real quadratic fields with certain continued fraction expansions and fundamental units
Özer, Özen; Khammas, Ahmed (Semnan Univ, 2017)The purpose of this paper is to investigate the real quadratic number fields Q(root d) which contain the specific form of the continued fractions expansions of integral basis element where d equivalent to 2, 3(mod4) is a ... -
On the Some Non Extandable Regular P-2 Sets
Özer, Özen (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 ... -
A result on the coupled fixed point theorems in C*-algebra valued b-metric spaces
Özer, Özen; Omran, Saleh (Forum Editrice Univ Udinese, 2019)The aim of this paper is to establish a new Coupled Fixed Point Theorems for C*-algebra valued b-metric spaces. As an application of our result, we discuss the existence and uniqueness results for Couple Fixed Point Theorem ... -
Some Convergence Results Using K* Iteration Process in Busemann Spaces
Ullah, K.; Khan, B. A.; Özer, O.; Nisar, Z. (Univ Putra Malaysia Press, 2019)In this paper, some strong and Delta-convergence results for mapping satisfying condition (E) in the setting of uniformly convex Busemann spaces are proved. We are using newly introduced K* iteration process for approximation ... -
Some results on a special type of real quadratic fields
Özer, Özen; Bellaouar, D. (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 ... -
SOME RESULTS ON SPECIAL CONTINUED FRACTION EXPANSIONS IN REAL QUADRATIC NUMBER FIELDS
Özer, Özen; Özel, Cenap (Univ Prishtines, 2016)The aim of this paper is to determine and investigate the continued fractions expansions of wd for the real quadratic number fields Q(root d) for which the period has constant elements that are completely equal to 2 (except ...