Abstract
This article presents new existence and uniqueness results for a nonlinear mapping in CAT(0) spaces. We prove these results without the necessity of stringent conditions, which are usually imposed on the mapping. We also prove the Δ-convergence and strong convergence results for the Ishikawa iterative method of the considered nonlinear mapping. Finally, we apply one of the results to obtain a solution of a nonlinear integral equation.
Original language | English |
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Journal | Journal of Analysis |
DOIs | |
Publication status | Accepted/In press - 2024 |
Externally published | Yes |
Keywords
- 47H05
- 47J20
- 47J25
- 65K15
- CAT(0) space
- Fixed point
- Górnicki type contractive mapping
- Ishikawa iteration
- Nonlinear integral equations
- Δ-convergence