A new generalization of metric spaces: rectangular M-metric spaces

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Yilmaz Ozgur Nihal; Mlaiki Nabil; Tas Nihal; Souayah Nizar

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2018 | Volume:12 | Issue:3 Page(s): 223-233

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Title

A new generalization of metric spaces: rectangular M-metric spaces

Author(s)

Yilmaz Ozgur Nihal | Mlaiki Nabil | Tas Nihal | Souayah Nizar | Issue Writer Certificate

Keywords

Rectangular M

metric space Fixed point

Abstract

In this paper, we introduce the concept of the Rectangular M-metric spaces, along with its topology and we prove some fixed-point theorems under different contraction principles with various techniques. The obtained results generalize some classical fixed-point results such as the Banach’ s contraction principle, the Kannan’ s fixed-point theorem and the Chatterjea’ s fixed-point theorem. Also we give an application to the fixed-circle problem.

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APA: Copy

Yilmaz Ozgur, Nihal, Mlaiki, Nabil, Tas, Nihal, & Souayah, Nizar. (2018). A new generalization of metric spaces: rectangular M-metric spaces. MATHEMATICAL SCIENCES, 12(3), 223-233. SID. https://sid.ir/paper/322702/en

Vancouver: Copy

Yilmaz Ozgur Nihal, Mlaiki Nabil, Tas Nihal, Souayah Nizar. A new generalization of metric spaces: rectangular M-metric spaces. MATHEMATICAL SCIENCES[Internet]. 2018;12(3):223-233. Available from: https://sid.ir/paper/322702/en

IEEE: Copy

Nihal Yilmaz Ozgur, Nabil Mlaiki, Nihal Tas, and Nizar Souayah, “A new generalization of metric spaces: rectangular M-metric spaces,” MATHEMATICAL SCIENCES, vol. 12, no. 3, pp. 223–233, 2018, [Online]. Available: https://sid.ir/paper/322702/en

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