Author:
Ansari Arslan Hojat,Chandok Sumit,Ionescu Cristiana
Abstract
Abstract
In this paper, we obtain some fixed point results for generalized weakly contractive mappings with some auxiliary functions in the framework of b-metric spaces. The proved results generalize and extend the corresponding well-known results of the literature. Some examples are also provided in order to show that these results are more general than the well-known results existing in literature.
MSC:47H10, 54H25.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference32 articles.
1. Banach S: Sur les operateurs dans les ensembles abstraits et leur application aux équations intégrales. Fundam. Math. 1922, 3: 133–181.
2. Chatterjea SK: Fixed point theorems. C. R. Acad. Bulgare Sci. 1972, 25: 727–730.
3. Haghi RH, Postolache M, Rezapour S: On T -stability of the Picard iteration for generalized ϕ -contraction mappings. Abstr. Appl. Anal. 2012., 2012: Article ID 658971
4. Kannan R: Some results on fixed points. Bull. Calcutta Math. Soc. 1968, 60: 71–76.
5. Olatinwo MO, Postolache M: Stability results for Jungck-type iterative processes in convex metric spaces. Appl. Math. Comput. 2012,218(12):6727–6732. 10.1016/j.amc.2011.12.038
Cited by
32 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