Iterative approximation of fixed points of a general class of non-expansive mappings in hyperbolic metric spaces

2021 ◽  
Author(s):  
Ashis Bera ◽  
Ankush Chanda ◽  
Lakshmi Kanta Dey ◽  
Javid Ali
Keyword(s):  
Fixed Points ◽  
General Class ◽  
Metric Spaces ◽  
Hyperbolic Metric ◽  
Iterative Approximation

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.

scholarly journals Fixed Points ofα-Admissible Mappings on Partial Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
İncı M. Erhan
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
General Class ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces

In this paper, a general class ofα-admissible contractions on partial metric spaces is introduced. Fixed point theorems for these contractions on partial metric spaces and their consequences are stated and proved. Illustrative example is presented.

scholarly journals ON FIXED POINTS OF GENERALIZED SET-VALUED CONTRACTIONS

2009 ◽  
Vol 81 (1) ◽  
pp. 16-22 ◽  
Author(s):  
S. BENAHMED ◽  
D. AZÉ
Keyword(s):  
Fixed Point ◽  
Variational Method ◽  
Fixed Points ◽  
General Result ◽  
General Class ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Sharp Estimate ◽  
Complete Metric Spaces ◽  
Contractive Mappings

AbstractUsing a variational method introduced in [D. Azé and J.-N. Corvellec, ‘A variational method in fixed point results with inwardness conditions’, Proc. Amer. Math. Soc.134(12) (2006), 3577–3583], deriving directly from the Ekeland principle, we give a general result on the existence of a fixed point for a very general class of multifunctions, generalizing the recent results of [Y. Feng and S. Liu, ‘Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings’, J. Math. Anal. Appl.317(1) (2006), 103–112; D. Klim and D. Wardowski, ‘Fixed point theorems for set-valued contractions in complete metric spaces’, J. Math. Anal. Appl.334(1) (2007), 132–139]. Moreover, we give a sharp estimate for the distance to the fixed-points set.

A new Ф-generalized quasi metric space with some fixed point results and applications

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3157-3172
Author(s):  
Mujahid Abbas ◽  
Bahru Leyew ◽  
Safeer Khan
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fixed Points ◽  
Periodic Solutions ◽  
Metric Space ◽  
Delay Differential Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Of Periodic Solutions ◽  
Delay Differential

In this paper, the concept of a new ?-generalized quasi metric space is introduced. A number of well-known quasi metric spaces are retrieved from ?-generalized quasi metric space. Some general fixed point theorems in a ?-generalized quasi metric spaces are proved, which generalize, modify and unify some existing fixed point theorems in the literature. We also give applications of our results to obtain fixed points for contraction mappings in the domain of words and to prove the existence of periodic solutions of delay differential equations.

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