Near-Coincidence Point Results in Norm Interval Spaces via Simulation Functions. (15th March 2021)

• Record Type: Journal Article
• Authors: Ullah, Misbah; Sarwar, Muhammad; Aydi, Hassen; Gaba, Yaé Ulrich
• Other Names: Ahmad Ali Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-03-15
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/6640593
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Recently, Wu in 2018 established interesting results in the framework of interval spaces. He initiated the idea of near-fixed points and proved some related basic results in metric interval, norm interval, and hyperspaces. In 2015, Khojasteh et al. gave the concept of simulation functions and studied some fixed-point results in metric spaces. Motivated by this work, we give some near-coincidence point results in norm interval spaces using the concept given by Khojasteh et al. Examples are also provided for the validation of the results.