scholarly journals Mann iterative algorithm in convex metric spaces endowed with a directed graph

2021 ◽  
Vol 22 (2) ◽  
pp. 559-570
Author(s):  
Lili Chen ◽  
◽  
Ni Yang ◽  
Yanfeng Zhao ◽  
◽  
...  
Keyword(s):  
Iterative Algorithm ◽  
Directed Graph ◽  
Metric Spaces ◽  
Convex Metric Spaces

Three-step iterative algorithm for a pair of total asymptotically nonexpansive mappings in uniformly convex metric spaces

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3573-3583
Author(s):  
Hafiz Fukhar-ud-dina ◽  
Safeer Khan
Keyword(s):  
Iterative Algorithm ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Iterative Algorithms ◽  
Uniformly Convex ◽  
Asymptotically Nonexpansive Mappings ◽  
Convex Metric Spaces ◽  
Asymptotically Nonexpansive ◽  
Special Cases ◽  
Total Asymptotically Nonexpansive Mappings

We introduce and study a three-step iterative algorithm for a pair of total asymptotically nonexpansive mappings in a uniformly convex metric space. The proposed algorithm includes Mann and Ishikawa iterative algorithms, the iterative algorithm of Khan and Takahashi [13] and the three-step iterative algorithm of Xu and Noor [26] as special cases. Our results are new and generalize several recent results in Hilbert spaces, uniformly convex Banach spaces and CAT (0) spaces, simultaneously.

scholarly journals Multi-step iterative algorithm for minimization and fixed point problems in p-uniformly convex metric spaces

2017 ◽  
Vol 13 (5) ◽  
pp. 0-0 ◽  
Author(s):  
Kazeem Olalekan Aremu ◽  
◽  
Chinedu Izuchukwu ◽  
Grace Nnenanya Ogwo ◽  
Oluwatosin Temitope Mewomo ◽  
...  
Keyword(s):  
Fixed Point ◽  
Iterative Algorithm ◽  
Metric Spaces ◽  
Fixed Point Problems ◽  
Uniformly Convex ◽  
Convex Metric Spaces

RANDOM COINCIDENCE AND FIXED POINTS FOR WEAKLY COMPATIBLE MAPPINGS IN CONVEX METRIC SPACES

2009 ◽  
Vol 02 (02) ◽  
pp. 171-182 ◽  
Author(s):  
Izmat Beg ◽  
Adnan Jahangir ◽  
Akbar Azam
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Coincidence Points ◽  
Random Coincidence ◽  
Complete Metric Spaces ◽  
Random Fixed Points ◽  
Weakly Compatible ◽  
Convex Metric Spaces

Some new theorems on random coincidence points and random fixed points for weakly compatible mappings in convex separable complete metric spaces have been established. These results generalize some recent well known comparable results in the literature.

Coupled coincidence and coupled common fixed point theorems on a fuzzy metric space with a graph

2018 ◽  
Vol 34 (3) ◽  
pp. 417-424
Author(s):  
PHUMIN SUMALAI ◽  
◽  
POOM KUMAM ◽  
DHANANJAY GOPAL ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Directed Graph ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric ◽  
Coupled Common Fixed Point ◽  
Common Fixed Point Theorems ◽  
Coupled Coincidence

Inspired by the work of Dakjum et al. [Eshi, D., Das, P. K. and Debnath, P., Coupled coincidence and coupled common fixed point theorems on a metric space with a graph, Fixed Point Theory Appl., 37 (2016), 1–14], we introduce a new class of G − f−contraction mappings in complete fuzzy metric spaces endowed with a directed graph and prove some existence results for coupled coincidence and coupled common fixed point theorems of this type of contraction mappings in complete fuzzy metric spaces endowed with a directed graph.

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