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Journal of Mathematics
Volume 2018, Article ID 3581768, 7 pages
https://doi.org/10.1155/2018/3581768
Research Article

Rectangular Metric-Like Type Spaces and Related Fixed Points

1Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia
2Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P.O. 12020, Industrial Jubail 31961, Saudi Arabia
3Palestine Technical University, Kadoorie, Tulkarem, State of Palestine

Correspondence should be addressed to H. Aydi; as.ude.uai@idyamh

Received 2 April 2018; Accepted 15 August 2018; Published 3 September 2018

Academic Editor: Ji Gao

Copyright © 2018 N. Mlaiki et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper, we introduce the concept of a rectangular metric-like space, along with its topology, and we prove some fixed point theorems for different contraction types. We also introduce the concept of modified metric-like spaces and we prove some topological and convergence properties under the symmetric convergence. Some examples are given to illustrate the new introduced metric type spaces.