Some Fixed Point Theorems on $b$-$\\theta$-metric spaces via $b$-simulation Functions
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Date
2021
Authors
Esra Dalan Yıldırım
Aysegul Caksu Guler
Oya Ozbakir
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Open Access Color
GOLD
Green Open Access
Yes
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Abstract
We introduce the concept of $b$-$\\theta$-metric space as a generalization of $\\theta$-metric space and investigate some of its properties. Then we establish a fixed point theorem in $b$-$\\theta$-metric spaces via $b$-simulation functions. Thus we deduce Banach type fixed point in such spaces. Also we discuss some fixed point results in relation to existing ones.
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Keywords
Matematik, Matematik, b-simulation function, $\theta$-metric, b-metric;b-simulation function;$\theta$-metric;b-$\theta$-metric, b-metric, b-$\theta$-metric, Mathematical Sciences
Fields of Science
0101 mathematics, 01 natural sciences
Citation
[1] I. A. Bakhtin The contraction mapping principle in almost metric space Functional Analysis 30(1989) 26-37.[2] S. Czerwik Contraction mappings in b-metric spaces Acta. Math. Inform. Univ. Ostraviensis 1(1993) 5-11.[3] S. Czerwik Nonlinear set-valued contraction mappings in b-metric spaces Atti Sem. Mat. Univ. Modena 46(1998) 263-276.[4] R. George B. Fisher Some generalized results of fixed points in cone b-metric spaces Math. Moravic. 17(2013) 39- 50.[5] F. Khojasteh E. Karapinar S. Randenvic q-metric space: a generalization Math. Probl. Eng. Art. ID:504609 (2013) 7pp.[6] F. Khojasteh S. Shukla S. Radenovic A new approach to the study of fixed point theory for simulation functions Filomat 29(6)(2015) 1189- 1194.[7] A.Chanda B. Damjanovi ´ c L. K. Dey Fixed point results on q-metric spaces via simulation functions Filomat 31(11)(2017) 3365-3375.[8] M. Demma R. Saadati P. Vetro Fixed point results on b-metric space via Picard sequences and b- simulation functions Iranian J. Math. Sci. Inform. 11(1)(2016) 123- 136.
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OpenCitations Citation Count
1
Source
Fundamental Journal of Mathematics and Applications
Volume
4
Issue
3
Start Page
159
End Page
164
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