Approximating Fixed Points of Suzuki $$(\alpha ,\beta )$$-Nonexpansive Mappings in Ordered Hyperbolic Metric Spaces

2021 ◽  
pp. 365-383
Author(s):  
Juan Martínez-Moreno ◽  
Kenyi Calderón ◽  
Poom Kumam ◽  
Edixon Rojas
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Hyperbolic Metric ◽  
Alpha Beta

scholarly journals FIXED POINTS OF ALMOST GENERALIZED $(\alpha,\beta)$-$(\psi, \varphi)$-CONTRACTIVE MAPPINGS IN $b$-METRIC SPACES

2018 ◽  
Vol 33 (2) ◽  
pp. 177
Author(s):  
Gutti Venkata Ravindranadh Babu ◽  
Tolera Mosissa Dula
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Contractive Mappings ◽  
Contractive Maps ◽  
Alpha Beta

In this paper, we introduce almost generalized $(\alpha,\beta)$-$(\psi, \varphi)$-contractive maps, and we prove some new xed point results for this class of mappings in b-metric spaces. We provide examples in support of our results. Our results extend/generalize the results of Dutta and Choudhury [8] and Yamaod and Sintunavarat [13].

scholarly journals Approximation of Endpoints for α—Reich–Suzuki Nonexpansive Mappings in Hyperbolic Metric Spaces

Mathematics ◽  
2021 ◽  
Vol 9 (14) ◽  
pp. 1692
Author(s):  
Izhar Uddin ◽  
Sajan Aggarwal ◽  
Afrah A. N. Abdou
Keyword(s):  
Fixed Point ◽  
Convergence Analysis ◽  
Metric Space ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Hyperbolic Metric ◽  
Convergence Theorems ◽  
Hyperbolic Metric Space

The concept of an endpoint is a relatively new concept compared to the concept of a fixed point. The aim of this paper is to perform a convergence analysis of M—iteration involving α—Reich–Suzuki nonexpansive mappings. In this paper, we prove strong and Δ—convergence theorems in a hyperbolic metric space. Thus, our results generalize and improve many existing results.

scholarly journals S-ITERATION PROCESS FOR ASYMPTOTIC POINTWISE NONEXPANSIVE MAPPINGS IN COMPLETE HYPERBOLIC METRIC SPACES

2016 ◽  
Vol 31 (3) ◽  
pp. 575-583 ◽  
Author(s):  
Thikamporn Atsathi ◽  
Prasit Cholamjiak ◽  
Suparat Kesornprom ◽  
Autchara Prasong
Keyword(s):  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Hyperbolic Metric

scholarly journals Fixed Point Results of a General Class of Monotone Nonexpansive Mappings in Hyperbolic Metric Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Rida Outass ◽  
Karim Chaira ◽  
El Miloudi Marhrani ◽  
Nour-eddine El Harmouchi
Keyword(s):  
Fixed Point ◽  
General Class ◽  
Iterative Process ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Hyperbolic Metric ◽  
Ordered Metric Spaces ◽  
New Class

In this paper, we introduce and study some properties of a new class of generalized monotone nonexpansive mappings in hyperbolic metric spaces. Further, we give some results on the convergence of the Mann iterative process for this class of mappings in hyperbolic ordered metric spaces with some interesting examples.

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