Strong and $$\varDelta -$$convergence of Ishikawa iterates of mixed type nonexpansive mappings in hyperbolic spaces

2021 ◽  
Author(s):  
A. Anthony Eldred ◽  
S. Jone Jayashree
Keyword(s):  
Mixed Type ◽  
Nonexpansive Mappings ◽  
Hyperbolic Spaces

scholarly journals Mixed Type Algorithms for Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

2021 ◽  
Vol 14 (3) ◽  
pp. 650-665
Author(s):  
Tanakit Thianwan
Keyword(s):  
Fixed Point ◽  
Mixed Type ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Hyperbolic Spaces ◽  
Strong Convergence Theorem ◽  
Uniformly Convex ◽  
Mild Conditions ◽  
Asymptotically Nonexpansive ◽  
Uniformly Convex Hyperbolic Space

In this paper, a new mixed type iteration process for approximating a common fixed point of two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings is constructed. We then establish a strong convergence theorem under mild conditions in a uniformly convex hyperbolic space. The results presented here extend and improve some related results in the literature.

scholarly journals Approximating Stationary Points of Multivalued Generalized Nonexpansive Mappings in Metric Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-6 ◽  
Author(s):  
Kifayat Ullah ◽  
Junaid Ahmad ◽  
Muhammad Arshad ◽  
Manuel de la Sen ◽  
Muhammad Safi Ullah Khan
Keyword(s):  
Current Literature ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Hyperbolic Spaces ◽  
Stationary Points ◽  
Uniformly Convex ◽  
Numerical Example

In this research, under some appropriate conditions, we approximate stationary points of multivalued Suzuki mappings through the modified Agarwal-O’Regan-Sahu iteration process in the setting of 2-uniformly convex hyperbolic spaces. We also provide an illustrative numerical example. Our results improve and extend some recently announced results of the current literature.

Δ-convergence theorems for multi-valued nonexpansive mappings in hyperbolic spaces

2014 ◽  
Vol 249 ◽  
pp. 535-540 ◽  
Author(s):  
Shih-sen Chang ◽  
Gang Wang ◽  
Lin Wang ◽  
Yong Kun Tang ◽  
Zhao Li Ma
Keyword(s):  
Nonexpansive Mappings ◽  
Hyperbolic Spaces ◽  
Convergence Theorems
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