Abstract
In the present paper, we introduce the notion of (O;U)-convex contraction mapping of order m and establish a fixed point theorem for such mappings in complete metric spaces. The present result extends and generalizes the well known result of Dutta and Choudhary (Fixed Point Theory Appl. 2008 (2008), Art. ID 406368), Rhoades (Nonlinear Anal., 47(2001), 2683-2693), Istr µescu (Ann. Mat. Pura Appl., 130(1982), 89-104) and besides many others in the existing literature. An illustrative example is also provided to exhibit the utility of our main results.
| Original language | English |
|---|---|
| Pages (from-to) | 240-245 |
| Number of pages | 6 |
| Journal | Advances in the Theory of Nonlinear Analysis and its Applications |
| Volume | 5 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2021 |
| Externally published | Yes |
Keywords
- (O,-U)-weak contraction
- Convex contraction
- Fixed point
- Metric space
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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