Pata-type common fixed point results in b-metric and b-rectangular metric spaces

Volume 8, Issue 6, pp 944--954 http://dx.doi.org/10.22436/jnsa.008.06.05

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Authors

Zoran Kadelburg - University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, Serbia. Stojan Radenović - Faculty of Mathematics and Information Technology Teacher Education, Dong Thap University, Cao Lanch City, Dong Thap Province, Viet Nam.

Abstract

We obtain (common) fixed point results for mappings in b-metric and b-rectangular metric spaces, under the Pata-type conditions. In particular, we show that the results of paper Balasubramanian, [S. Balasubramanian, Math. Sci. (Springer) 8 (2014), no. 3, 65-69] can be obtained as consequences of more general results and in a much shorter way. We demonstrate these facts by some examples.

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Keywords

• b-metric space
• b-rectangular metric space
• Pata-type condition.

MSC

•  47H10
•  54H25

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