Mean Value-Mann Iterative Process
Mohd Tariq, Mayank Sharma
TL;DR
This paper introduces a modified iterative process combining mean value and Mann iterations for mean nonexpansive mappings in hyperbolic spaces, providing convergence theorems to validate its effectiveness.
Contribution
It presents a novel modification of the iterative process for nonexpansive mappings in hyperbolic spaces, with proven convergence results.
Findings
Established strong convergence theorems.
Proved $\Delta$-convergence in hyperbolic spaces.
Validated the iterative process in uniformly convex hyperbolic spaces.
Abstract
In this paper, the Mean value iterative process is modified with the Mann iterative process for mean nonexpansive mapping in a hyperbolic metric space that satisfy the symmetry criteria and in uniformly convex hyperbolic spaces to validate the iterative process, we present strong and -convergence theorems.
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Taxonomy
TopicsOptimization and Variational Analysis · Fixed Point Theorems Analysis · Functional Equations Stability Results