Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Vatan KARAKAYA"'
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 17, Iss 1, Pp 57-67 (2020)
The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappi
Externí odkaz:
https://doaj.org/article/ce2c750f3a2d469887601d39dae663ac
Autor:
Yunus Atalan, Vatan Karakaya
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 17, Iss 1, Pp 139-155 (2020)
In the present paper, we show that $S^*$ iteration method can be used to approximate fixed point of almost contraction mappings. Furthermore, we prove that this iteration method is equivalent to CR iteration method and it produces a slow convergence
Externí odkaz:
https://doaj.org/article/2a81fec6a8284603bc690129ec7ad66d
Autor:
Arife Aysun Karaaslan, Vatan Karakaya
Publikováno v:
Journal of Function Spaces, Vol 2018 (2018)
In this paper, we investigate existence of n-tuplet coincidence point theorems in partially ordered probabilistic metric spaces. Also, we gave uniqueness of n-tuplet fixed point theorems in this space.
Externí odkaz:
https://doaj.org/article/a8d7cc4850e14a849ffd923879f6a1f7
Autor:
Mikail Et, Vatan Karakaya
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We introduce a new class of sequences named as mαΔr,ϕ,p and, for this space, we study some inclusion relations, topological properties, and geometrical properties such as order continuous, the Fatou property, and the Banach-Saks property of type p
Externí odkaz:
https://doaj.org/article/9e5da0cb87f94a7680b6d6f8eb09b56b
Publikováno v:
The Scientific World Journal, Vol 2014 (2014)
We give some results concerning the existence of tripled fixed points for a class of condensing operators in Banach spaces. Further, as an application, we study the existence of solutions for a general system of nonlinear integral equations.
Externí odkaz:
https://doaj.org/article/69580e6f497c440bba2537f19e98be6c
Autor:
Müzeyyen Ertürk, Vatan Karakaya
Publikováno v:
Journal of Function Spaces, Vol 2014 (2014)
For an arbitrary n positive integer, we investigate the existence of n-tuplet coincidence points in intuitionistic fuzzy normed space. Results of the paper are more general than those of the coupled and the tripled fixed point works in intuitionistic
Externí odkaz:
https://doaj.org/article/b2f010638fed4e4aadadd91ff38b3468
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
The purpose of this paper is to introduce a new Kirk type iterative algorithm called Kirk multistep iteration and to study its convergence. We also prove some theorems related to the stability results for the Kirk multistep and Kirk-SP iterative proc
Externí odkaz:
https://doaj.org/article/8e19931140484dcc9daa30fab372f7c4
Autor:
Kadri Doğan, Vatan Karakaya
Publikováno v:
The Scientific World Journal, Vol 2014 (2014)
We put forward a new general iterative process. We prove a convergence result as well as a stability result regarding this new iterative process for weak contraction operators.
Externí odkaz:
https://doaj.org/article/1ecc8c201a2c453d967ad7cae84ea94e
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We consider the recently introduced notion of ℐ-statistical convergence (Das, Savas and Ghosal, Appl. Math. Lett., 24(9) (2011), 1509–1514, Savas and Das, Appl. Math. Lett. 24(6) (2011), 826–830) in probabilistic normed spaces and in the follow
Externí odkaz:
https://doaj.org/article/c9aee27373b94d149c5307ba1a776d52
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
Banach-Saks type is calculated for two types of Banach sequence spaces and Gurariǐ modulus of convexity is estimated from above for the spaces of one type among them.
Externí odkaz:
https://doaj.org/article/b99e54471c004cfe8937797456a2394e