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Fixed Point Theorems for Operators with Certain Condition in p-Uniformly Convex Metric Spaces.
- Source :
-
Numerical Functional Analysis & Optimization . 2022, Vol. 43 Issue 16, p1884-1900. 17p. - Publication Year :
- 2022
-
Abstract
- In this paper, firstly, we extend the nonlinear Lebesgue spaces from the setting of Hadamard spaces to the setting of p-uniformly convex metric spaces. Afterward, we establish some Δ-convergence and strong convergence theorems for a recently introduced class of generalized nonexpansive mappings in the setting of p-uniformly convex metric spaces. Furthermore, we employ the newly introduced JK-iteration process to approximate the fixed points of this class. Finally, we construct new examples of this class of mappings in the context of p-uniformly convex metric spaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- *METRIC spaces
*NONEXPANSIVE mappings
*CONVEX sets
Subjects
Details
- Language :
- English
- ISSN :
- 01630563
- Volume :
- 43
- Issue :
- 16
- Database :
- Academic Search Index
- Journal :
- Numerical Functional Analysis & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 160199192
- Full Text :
- https://doi.org/10.1080/01630563.2022.2141256