scholarly journals Ulam stability of Volterra integral equation on a generalized metric space

2020 ◽  
Vol 65 (2) ◽  
pp. 303-308
Author(s):  
Sorina Anamaria Ciplea ◽  
◽  
Nicolaie Lungu ◽  
◽  
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation ◽  
Metric Space ◽  
Generalized Metric Space ◽  
Ulam Stability ◽  
Generalized Metric

scholarly journals Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Chaiporn Thangthong ◽  
Anchalee Khemphet
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Additional Condition ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Generalized Metric

The result of our study is that a coincidence point of two mappings P and Q can be achieved when the ordered pair (P,Q) is an (α,β,γ)-contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main theorems. Further, we apply our findings to some examples and integral equation problems.

scholarly journals A generalized metric space and related fixed point theorems

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Mohamed Jleli ◽  
Bessem Samet
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Generalized Metric Space ◽  
Generalized Metric

scholarly journals Friedman-like Robertson–Walker model in generalized metric space-time with weak anisotropy

2007 ◽  
Vol 40 (7) ◽  
pp. 1403-1425 ◽  
Author(s):  
P. C. Stavrinos ◽  
A. P. Kouretsis ◽  
M. Stathakopoulos
Keyword(s):  
Metric Space ◽  
Space Time ◽  
Generalized Metric Space ◽  
Weak Anisotropy ◽  
Generalized Metric

scholarly journals Common fixed point results for three maps in generalized metric space

2011 ◽  
Vol 2011 (1) ◽  
pp. 49 ◽  
Author(s):  
Mujahid Abbas ◽  
Talat Nazir ◽  
Reza Saadati
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Generalized Metric Space ◽  
Generalized Metric

Kannan fixed point theorem on generalized metric space with a graph

2019 ◽  
Vol 13 (6) ◽  
pp. 263-274 ◽  
Author(s):  
Karim Chaira ◽  
Abderrahim Eladraoui ◽  
Mustapha Kabil ◽  
Abdessamad Kamouss
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Generalized Metric Space ◽  
Generalized Metric

scholarly journals The Generalized Weaker(α-ϕ-φ)-Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Maryam A. Alghamdi ◽  
Chi-Ming Chen ◽  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Contractive Mappings ◽  
Generalized Metric

We introduce the notion of generalized weaker(α-ϕ-φ)-contractive mappings in the context of generalized metric space. We investigate the existence and uniqueness of fixed point of such mappings. Some consequences on existing fixed point theorems are also derived. The presented results generalize, unify, and improve several results in the literature.

scholarly journals Fixed point theorems for almost contractions in generalized metric spaces

2014 ◽  
Vol 23 (1) ◽  
pp. 65-72
Author(s):  
LULJETA KIKINA ◽  
◽  
KRISTAQ KIKINA ◽  
ILIR VARDHAMI ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Space Setting ◽  
Generalized Metric

Fixed point theorems for almost contractions in generalized metric spaces are proved. The obtained results are extensions and generalizations, from metric space setting to generalized metric space setting, of many well-known fixed point theorems in literature.

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