Best proximity points for elliptic generalized geraghty contraction mappings in elliptic valued metric spaces

Kösal, Işıl Arda; Öztürk, Mahpeyker

doi:10.1063/1.5078470

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2020

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“…This angle is called p-argument of z. There can be found some interesting studies [3,4,5,6,7,8,9,10,11,12] on the generalized complex numbers and elliptical complex numbers in the literature. Recently,Özen and Tosun have extended the trigonometric functions cosine, sine and p-trigonometric functions pcosine, p-sine to the elliptical complex variables [3].…”

Section: Introductionmentioning

confidence: 99%

On the Trigonometric and p-Trigonometric Functions of Elliptical Complex Variables

Özen

2020

Communications in Advanced Mathematical Sciences

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In the early 2000s, the geometry of a one-parameter family of generalized complex number systems was studied (Math. Mag. 77(2)(2004)). This family is denoted by C p. It is well known that C p matches up with the elliptical complex number system when p is any negative real number. By using this system,Özen and Tosun expressed the elliptical complex valued trigonometric functions cosine, sine and p-trigonometric functions p-cosine, p-sine (Adv. Appl. Clifford Algebras 28(3)(2018)). In this study, we introduce the remained elliptical complex valued trigonometric and p-trigonometric functions. Also we define the corresponding single-valued principal values of the inverse trigonometric and p-trigonometric functions by following the similar steps given in the literature.

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Section: Introductionmentioning

confidence: 99%

On the Trigonometric and p-Trigonometric Functions of Elliptical Complex Variables

Özen

2020

Communications in Advanced Mathematical Sciences

View full text Add to dashboard Cite

show abstract

Best proximity points for elliptic generalized geraghty contraction mappings in elliptic valued metric spaces

Cited by 1 publication

References 3 publications

On the Trigonometric and p-Trigonometric Functions of Elliptical Complex Variables

On the Trigonometric and p-Trigonometric Functions of Elliptical Complex Variables

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