J. Adv. Math. Stud.
Vol. 10(2017), No. 3, 425-434 http://journal.fairpartners.ro
EXISTENCE OF FIXED POINT THEOREMS IN RECTANGULAR METRIC SPACES MEHMET KIR, BINAYAK S. CHOUDHURY, NIKHILESH METIYA AND HUKMI KIZILTUNC Abstract. In this paper we deduce fixed point results in rectangular metric spaces which have some characteristics very different from metric spaces. For this reason the proofs of the theorems have their own specialities. There are several applications of the main theorems. Some existing results are obtained by these applications. Other applications yield new results including a contractive fixed point result of integral type.
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Received: February 18, 2017. Revised: August 23, 2017. 2010 Mathematics Subject Classification: 47H10, 54H10, 54H25. Key words and phrases: Fixed point, rectangular metric, rectangular metric spaces. c 2017 Fair Partners Society for the Promotion of Science & Fair Partners Publishers
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Mehmet Kir, Binayak S. Choudhury, Nikhilesh Metiya and Hukmi Kiziltunc
Ataturk University Department of Mathematics Faculty of Science 25240, Erzurum-Turkey E-mail address:
[email protected] Indian Institute of Engineering Science and Technology Department of Mathematics Shibpur, Howrah-711103, West Bengal, India E-mail address:
[email protected],
[email protected] Sovarani Memorial College Department of Mathematics Jagatballavpur, Howrah-711408, West Bengal, India E-mail address:
[email protected] Ataturk University Department of Mathematics Faculty of Science 25240, Erzurum-Turkey E-mail address:
[email protected]
