Affiliation:
1. Department of Mathematics, National Defence Academy, Khadakwasla, Pune, India
Abstract
In this paper, we improve Caristi-Jachymski-Stein Jr and Banach-Caristi type
fixed point theorems by relaxing the strong continuity assumption of the
mapping with some weaker continuity notions. As an application, we show that
the weaker version of the Caristi-Jachymski-Stein Jr fixed point theorem
characterizes the completeness of the metric space and the Cantor
intersection property.
Publisher
National Library of Serbia
Reference34 articles.
1. R. P. Agarwal, D. O’Regan and N. Shahzad, Fixed point theorems for generalized contractive maps of Meir-Keeler type, Math. Nachr., 276(2004), 3-12.
2. P. S. Bhakta and T. Basu, Some fixed point theorems on metric spaces, J. Indian Math. Soc. 45 (1981), 399-404.
3. R. K. Bisht and R. P. Pant, A remark on discontinuity at fixed point, J. Math. Anal. Appl. 445 (2017), 1239-1241.
4. R. K. Bisht and V. Rakočević, Generalized Meir-Keeler type contractions and discontinuity at fixed point, Fixed Point Theory, 19 (1) (2018), 57-64.
5. R. K. Bisht and V. Rakočević, Fixed points of convex and generalized convex contractions, Rend. Circ. Mat. Palermo, II. Ser, 69 (1) (2020), 21-28.
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