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

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School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia
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Institut Supérieur D’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
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China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
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Department of Mathematics and General Courses, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Author to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1082; https://doi.org/10.3390/math7111082 (registering DOI)
Received: 19 July 2019 / Revised: 22 August 2019 / Accepted: 23 August 2019 / Published: 9 November 2019
(This article belongs to the Special Issue Applications in Theoretical and Computational Fixed Point Problems)
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. View Full-Text
Keywords: admissibility; contraction; graph; functional equation admissibility; contraction; graph; functional equation
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Qawaqneh, H.; Noorani, M.S.; Aydi, H.; Shatanawi, W. On Common Fixed Point Results for New Contractions with Applications to Graph and Integral Equations. Mathematics 2019, 7, 1082.

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