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 ◽  
◽  

Author(s):  
Chaiporn Thangthong ◽  
Anchalee Khemphet

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.





2007 ◽  
Vol 40 (7) ◽  
pp. 1403-1425 ◽  
Author(s):  
P. C. Stavrinos ◽  
A. P. Kouretsis ◽  
M. Stathakopoulos


2011 ◽  
Vol 2011 (1) ◽  
pp. 49 ◽  
Author(s):  
Mujahid Abbas ◽  
Talat Nazir ◽  
Reza Saadati


2019 ◽  
Vol 13 (6) ◽  
pp. 263-274 ◽  
Author(s):  
Karim Chaira ◽  
Abderrahim Eladraoui ◽  
Mustapha Kabil ◽  
Abdessamad Kamouss


2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Maryam A. Alghamdi ◽  
Chi-Ming Chen ◽  
Erdal Karapınar

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.



2014 ◽  
Vol 23 (1) ◽  
pp. 65-72
Author(s):  
LULJETA KIKINA ◽  
◽  
KRISTAQ KIKINA ◽  
ILIR VARDHAMI ◽  
◽  
...  

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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