On Common Fixed Point Results for New Contractions with Applications to Graph and Integral Equations

Haitham Qawaqneh, Mohd Salmi Noorani, Hassen Aydi and Wasfi Shatanawi
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Haitham Qawaqneh: School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia
Mohd Salmi Noorani: School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia
Hassen Aydi: Institut Supérieur D’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
Wasfi Shatanawi: Department of Mathematics and General Courses, Prince Sultan University, Riyadh 11586, Saudi Arabia

Mathematics, 2019, vol. 7, issue 11, 1-16

Abstract: The investigation of symmetric/asymmetric structures and their applications in mathematics (in particular in operator theory and functional analysis) is useful and fruitful. A metric space has the property of symmetry. By looking in the same direction and using the α -admissibility with regard to η and θ -functions, we demonstrate some existence and uniqueness fixed point theorems. The obtained results extend and generalize the main result of Isik et al. (2019). At the end, some illustrated applications are presented.

Keywords: admissibility; contraction; graph; functional equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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