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An improvement of recent results in controlled metric type spaces

Mlaiki Nabil (Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia), nmlaiki@psu.edu.sa
Aydi Hassen (Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam + Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam + Department of Medical Research, China Medical University, Taichung, Taiwan + Université de Sousse, Institut Sup´erieur d’Informatique et des Techniques de Communication, H. Sousse, Tunisia), hassen.aydi@tdtu.edu.vn
Souayah Nizar (Department of Natural Sciences, Community College Al-Riyadh, King Saud University, Saudi Arabia), nsouayah@ksu.edu.sa
Abdeljawad Thabet (Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia + Department of Medical Research, China Medical University, Taichung, Taiwan + Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan), tabdeljawad@psu.edu.sa

Using control functions introduced by Sintunavarat et al. (2011), we present and improve some recent fixed point results in the class of controlled metric type spaces. We also illustrate the presented results by some nontrivial examples.

Keywords: Fixed point, controlled metric type space, extended b-metric space