Affiliation:
1. Technical University of Cluj-Napoca , North University Center of Baia Mare , Romania
Abstract
Abstract
The main aim of this paper is to obtain Maia type fixed point results for Ćirić-Prešić contraction condition, following Ćirić L. B. and Prešić S. B. result proved in [Ćirić L. B.; Prešić S. B. On Prešić type generalization of the Banach contraction mapping principle, Acta Math. Univ. Comenian. (N.S.), 2007, v 76, no. 2, 143–147] and Luong N. V. and Thuan N. X. result in [Luong, N. V., Thuan, N. X., Some fixed point theorems of Prešić-Ćirić type, Acta Univ. Apulensis Math. Inform., No. 30, (2012), 237–249]. We unified these theorems with Maia’s fixed point theorem proved in [Maia, Maria Grazia. Un’osservazione sulle contrazioni metriche. (Italian) Rend. Sem. Mat. Univ. Padova 40 1968 139–143] and the obtained results are proved is the present paper. An example is also provided.
Reference14 articles.
1. [1] M. -E. Balazs, A Maia type fixed point theorem for Prešić-Kannan operators, Miskolc Math. Notes, 18 (1) (2017), 71–81.10.18514/MMN.2017.1875
2. [2] S. Banach, Sur les óperations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math., 3 (1922) 133–181.10.4064/fm-3-1-133-181
3. [3] N. V. Luong, N. X. Thuan, Some fixed point theorems of Prešić-Ćirić type, Acta Univ. Apulensis Math. Inform., 30 (2012), 237–249.
4. [4] M. G. Maia, Un’osservazione sulle contrazioni metriche (Italian), Rend. Sem. Mat. Univ. Padova40 (1968) 139–143.
5. [5] J. Matkowski, Fixed point theorems for mappings with a contractive iterate at a point, Proceedings of the American Mathematical Society, 62(2) (1977), 344–348.10.1090/S0002-9939-1977-0436113-5
Cited by
3 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