Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space
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Abstract
In this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi rho-preserving locally related quasi-nonexpansive mappings in hyperbolic space. An iterative process is also used to obtain the convergence results for this mapping. Fixed point is approximated numerically in a nontrivial example by using Matlab.
Description
Saleem, Dr. Naeem/0000-0002-1485-6163
Keywords
Artificial intelligence, Class (philosophy), Best Proximity Points, Economics, Iterative and incremental development, Geometry, Cone Metric Spaces, Fixed-Point Problems, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Fixed Point Theorems in Metric Spaces, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Economic growth, Software engineering, Applied Mathematics, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Applied mathematics, Computer science, Computational Theory and Mathematics, Contractive Mappings, Physical Sciences, Computer Science, Convergence (economics), Monotone polygon, Geometry and Topology, Mathematics, Special maps on metric spaces, Fixed-point and coincidence theorems (topological aspects), quasi \(\varrho \)-preserving locally related quasi-nonexpansive mappings, hyperbolic space
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Saleem, Naeem;...et.al. (2022). "Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space", Journal of Function Spaces, Vol.2022, pp.1-10.
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5
Volume
2022
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1
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10
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