Browsing Matematik Bölümü by Author "Erhan, İnci M."

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F-contraction mappings on metric-like spaces in connection with integral equations on time scales

Agarwal, Ravi P.; Aksoy, Ümit; Karapınar, Erdal; Erhan, İnci M. (2020)

In this paper we investigate the existence and uniqueness of fixed points of certain (ϕ, F) -type contractions in the frame of metric-like spaces. As an application of the theorem we consider the existence and uniqueness ...
Fixed Point Theorems For Mappings With A Contractive Iterate At A Point In Modular Metric Spaces

Karapinar, Erdal; Aksoy, Ümit; Fulga, Andreea; Erhan, İnci M. (2022)

In this manuscript, we introduce two new types of contraction, namely, w-contraction and strong Sehgal w-contraction, in the framework of modular metric spaces. We indicate that under certain assumptions, such mappings ...
On the fixed points of iterative contractive mappings defined via implicit relation

Aksoy, Ümit; Erhan, İnci M.; Fulga, Andreea; Karapınar, Erdal (2021)

In this paper, we consider an implicit relation to generalize iterative fixed point results in the literature in the context of metric spaces. We conclude that several existing results are immediate consequences of our ...
On the solution of a boundary value problem associated with a fractional differential equation

Sevinik Adigüzel, Rezan; Aksoy, Ümit; Karapınar, Erdal; Erhan, İnci M. (2020)

The problem of the existence and uniqueness of solutions of boundary value problems (BVPs) for a nonlinear fractional differential equation of order 2<α ≤ 3 is studied. The BVP is transformed into an integral equation and ...
Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions

Sevinik-Adıgüzel, Rezan; Aksoy, Ümit; Karapınar, Erdal; Erhan, İnci M. (2021-07)

This study is devoted to the development of alternative conditions for existence and uniqueness of nonlinear fractional differential equations of higher-order with integral and multi-point boundary conditions. It uses a ...

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Browsing Matematik Bölümü by Author "Erhan, İnci M."

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