Partial b-Rectangular Metric Space with Some Results

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Noor Riyadh Adeeb

Abstract

A new generalization of metric space called partial b-rectangular metric space is introduced. Also, the relation between this generalization and the other generalizations for example a b-rectangular metric space is given. Moreover, we have proved Banach theorem and Kannan theorem of fixed Point in partial b-rectangular metric space. Furthermore, some definitions and results dealing with partial b-rectangular metric space are discussed

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How to Cite
Noor Riyadh Adeeb. (2022). Partial b-Rectangular Metric Space with Some Results. Tikrit Journal of Pure Science, 27(2), 91–95. https://doi.org/10.25130/tjps.v27i2.73
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References

[1] Fr'echet M. (1906). Sur quelques points du calcul fonctionnel. Rendiconti del circolo Matematico di Palermo. 22: 1-74.

[2] Shukla S. (2014). Partial b-metric space and fixed point theorems. Mediterr. J. Math. 11: 703-711.

[3] Roshan J, Parvaneh V, Kadelburg Z and Hussain N. ( 2016). New fixed point results in b-rectangular metric spaces*. Nonlinear Analysis. Modeling and Control. 21(5): 614-634.

[4] Banach S. (1922). Sur les operations dans les ensembles abstraction et leur application aux equations integrals. Fund Math. 2: 133-181.

[5] Kannan R. (1969). Some results on fixed points ||. Am. Math. Mon. 76:405-408.

[6] Pacurar M. (2010). A fixed point result for Φ-contractions on b-metric spaces without the boundedness assumption. Fasc. Math. 43: 127-137.

[7] Altun I, Sola F and Simsek H. (2010). Generalized contractions on partial metric space. Topology and its Applications. 157: 2778-2785.

[8] Anuradha G and Pragati G. ( 2015). Quasi-Partial b- metric space and some related fixed point theorems. Fixed Point Theory and Application. 18: 2-12.

[9] Singh D, Ghauhan V and Wangkeeree R. ( 2017). Geraghty type generalized F-Continuous and related application in partial metric space. Int J Anal. 1-14.

[10] Mitrovic Z.D., Radenovic S, (2017). A common fixed point theorem of Jungck in rectangular b-metric space. Acta Math Hungarica. 153(2): 401-407.

[11] Parvaneh V and Kadelburg Z. (2018). Extended Partial b-metric space and some fixed point results. Faculty Sci Math. 32(8): 2837-2850.

[12] Yaowaluck K. (2018). Contraction on some fixed point theorem in