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Physical Sciences and Mathematics Commons

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TÜBİTAK

Turkish Journal of Mathematics

2022

Fixed point

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Existence And Transportation Inequalities For Fractional Stochastic Differential Equations, Abdelghani Ouahab, Mustapha Belabbas, Johnny Henderson, Fethi Souna Jan 2022

Existence And Transportation Inequalities For Fractional Stochastic Differential Equations, Abdelghani Ouahab, Mustapha Belabbas, Johnny Henderson, Fethi Souna

Turkish Journal of Mathematics

In this work, we establish the existence and uniqueness of solutions for a fractional stochastic differential equation driven by countably many Brownian motions on bounded and unbounded intervals. Also, we study the continuous dependence of solutions on initial data. Finally, we establish the transportation quadratic cost inequality for some classes of fractional stochastic equations and continuous dependence of solutions with respect Wasserstein distance.


On Extended Interpolative Single And Multivalued $F$-Contractions, İsa Yildirim Jan 2022

On Extended Interpolative Single And Multivalued $F$-Contractions, İsa Yildirim

Turkish Journal of Mathematics

The main objective of this paper is to study an extended interpolative single and multivalued Hardy-Rogers type $F$-contractions in complete metric spaces. We prove some fixed point theorems for such mappings. Further, we give an application to integral equations to verify our main results. The results presented in this paper improve the recent works of Karapinar et al. [12] and Mohammadi et al. [16].