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Toplam kayıt 30, listelenen: 21-30
Solving existence problems via F-contraction in modified b-metric spaces
(Işık University Press, 2022)
In this paper, we introduce a new abstract structure, expanded b-metric, as an natural extension of b-metric. We also define basic topological notions in expanded bmetric to able to investigate the existence of fixed point ...
A generalization of relation-theoretic contraction principle
(Işık University Press, 2023-01)
In the present paper, we generalize relation-theoretic contraction principle using weaker class of contraction mappings which is assumed to be hold on the elements of a particular subset of the whole space, whose elements ...
Some fixed point results for β-admissible multi-valued F-contractions
(Işık University Press, 2023-01)
In the present paper, we prove some fixed point results for β- admissible multi-valued F- contractions on metric spaces. This type of contraction is a generalization of some multi-valued contractions including Nedler’s and ...
On some novel results for C-weak-fuzzy contractions
(Işık University Press, 2023-04)
This article implements the idea of introducing the concept of C-weak-fuzzy contraction mapping in the framework of fuzzy cone metric spaces, and deriving some unique common fixed point results. A nontrivial example is ...
Generalized contractive mappings on quasimetric spaces
(Işık University Press, 2023-04)
In this paper, we introduce a new class of generalized contractive mappings to establish a fixed point theorem for this class of mappings in complete quasimetric spaces. In fact, at first we present the notion of ordered ...
Solving fractional differential equations using fixed point results in generalized metric spaces of Perov’s type
(Işık University Press, 2022-07)
In 1964, A. I. Perov generalized the Banach contraction principle introducing, following the work of ¯D. Kurepa, a new approach to fixed point problems, by defining generalized metric spaces (also known as vector valued ...
On the solutions of some recent open problems in metric fixed point theory
(Işık University Press, 2023-07)
In this paper, our aim is to provide new solutions to some open problems given in [18] and [27] about the discontinuity at fixed point and related results. For this purpose, we prove new theorems and corollaries using ...
The Kannan fixed point theorem in incomplete modular spaces
(Işık University Press, 2023-10)
In this paper, we prove a fixed point theorem for Kannan contraction mappings definded on incomplete orthogonal modular spaces. Our results improve one of the results given by Abdou and Khamsi [Abdou, A. A. N. and Khamsi, ...
Fixed point results in Ab-metric space
(Işık University Press, 2023-10)
We derive some fixed point results in Ab- metric space in which map need not be continuous. In addition, we find fixed point and common fixed theorems having rational expressions in the contractive condition. Our results ...
Nabla fractional boundary value problem with a non-local boundary condition
(Işık University Press, 2024-01)
In this work, we deal with the following two-point boundary value problem for a finite fractional nabla difference equation with non-local boundary condition: (−(∇ξρ(e) u(z) = p(z, u(z)), z ∈ Nfe+2, u(e) = g(u), u(f) = 0. ...