Abstract
In this paper, we prove some fixed-circle, fixed-disc and fixed-ellipse results on metric spaces. To do this, we define the notions of Proinov type a0-contraction and generalized Proinov type a0-contraction. Also, we give some illustrative examples to show the validity of our obtained results. Finally, we present a nice application to exponential linear unit activation functions.
Publisher
Centre for Evaluation in Education and Science (CEON/CEES)
Reference23 articles.
1. A. Amini-Harandi, A. Petruşel, A fixed point theorem by altering distance technique in complete metric spaces, Miskolc Mathematical Notes, 14 (2013), 11-17.;
2. S. Banach, Sur les operations dans les ensembles abstraits et leur application aux equations integrals, Fundamenta Mathematicae, 2 (1922), 133-181.;
3. D. W. Boyd, J. S. W. Wong, On nonlinear contractions, Proceedings of the American Mathematical Society, 20 (1969), 458-464.;
4. L. B. Ćirić, Generalized contractions and fixed-point theorems, Publications de l'Institut Mathematique, 26 (1971), 19-26.;
5. D. A. Clevert, T. Unterthiner, S. Hochreiter, Fast and accurate deep network learning by exponential linear units (ELUs), (2015), arXiv:1511.07289.;
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献