Filomat 2022 Volume 36, Issue 16, Pages: 5677-5690
https://doi.org/10.2298/FIL2216677A
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Two theorems involving cyclic generalized proximal C-contractive non-self mappings
Ayari Iadh M. (Carthage University, Institut National Des Sciences Appliquées et de Technologie, de Tunis, Tunis, Tunisie + Department of Math and Sciences, Community College, Qatar, Doha, Qatar), Mohammad.ayari@ccq.edu.qa
Aydi Hassen (Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse, Tunisia + China Medical University Hospital, China Medical University, Taichung, Taiwan + Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa), hassen.aydi@isima.rnu.tn
Hammad Hasanen A. (Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah, Saudi Arabia + Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt), hassanein_hamad@science.sohag.edu.eg
Imdad M. (Aligarh Muslim University, Department of Mathematics, India), mhimdad@gmail.com
This paper explores certain best proximity point expansions for a novel class
of non-self-mapping S : P → Q and T : Q → P called generalized proximal
C-contractions of the first and second kinds. We expose many examples to
justify our obtained results. Considerable fixed point results are evolved
as a consequence of our main theorems.
Keywords: Two theorems involving cyclic generalized proximal C-contractive non-self mappings, Best proximity points, generalized proximal C-contractive mapping, proximal cyclic contraction, best proximity point
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