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Citation - WoS: 177
Citation - Scopus: 198
Interpolative Reich-Rus Type Contractions on Partial Metric Spaces
(Mdpi, 2018) Karapinar, Erdal; Agarwal, Ravi; Aydi, Hassen
By giving a counter-example, we point out a gap in the paper by Karapinar (Adv. Theory Nonlinear Anal. Its Appl. 2018, 2, 85-87) where the given fixed point may be not unique and we present the corrected version. We also state the celebrated fixed point theorem of Reich-Rus-Ciric in the framework of complete partial metric spaces, by taking the interpolation theory into account. Some examples are provided where the main result in papers by Reich (Can. Math. Bull. 1971, 14, 121-124; Boll. Unione Mat. Ital. 1972, 4, 26-42 and Boll. Unione Mat. Ital. 1971, 4, 1-11.) is not applicable.
Citation - WoS: 5
Citation - Scopus: 5
A Solution for the Non-Cooperative Equilibrium Problem of Two Person Via Fixed Point Theory
(Springeropen, 2015) Tran Duc Thanh; Hobiny, Aatef; Karapinar, Erdal; Duc Thanh, Tran; Thanh, Tran Duc
In this paper, we investigate the non-cooperative equilibrium problem of two person games in the setting of game theory and propose a solution via coupled fixed point results in the context of partial metric spaces. We also realize that our coupled fixed point results can be applied to get a solution of a class of nonlinear Fredholm type integral equations.