Yazar "Sahin, Hakan" için Scopus İndeksli Yayınlar Koleksiyonu listeleme
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Best proximity and best periodic points for proximal nonunique contractions
Sahin, Hakan; Aslantas, Mustafa; Altun, Ishak (Springer Basel Ag, 2021)Taking into account nonunique fixed point and periodic point results of Ciric (Institut Mathematique 17, 52-58, 1974) and best proximity point results in the literature, we introduce the concept of proximal nonunique ... -
Best proximity point theorems for cyclic p-contractions with some consequences and applications
Aslantas, Mustafa; Sahin, Hakan; Altun, Ishak (Vilnius Univ, Inst Mathematics & Informatics, 2021)In this paper, we introduce the concept of cyclic p-contraction pair for single-valued mappings. Then we present some best proximity point results for such mappings defined on proximally complete pair of subsets of a metric ... -
Ciric type cyclic contractions and their best cyclic periodic points
Aslantas, Mustafa; Sahin, Hakan; Altun, Ishak (North Univ Baia Mare, 2022)In the present paper, by introducing a new notion named as nonunique cyclic contractions, we give some best proximity point results for such mappings. Then, we indicate the shortcoming of the concept of best periodic ... -
Existence and uniqueness results for nonlinear fractional differential equations via new Q-function
Sahin, Hakan (Springer Basel Ag, 2022)In this paper, we first introduce a new concept of Q-function on partial metric spaces. Also, we give a new definition of (alpha,phi,q)-contractive mapping by considering the new kind of Q-function. Then we obtain some ... -
KW-Type Nonlinear Contractions and Their Best Proximity Points
Altun, Ishak; Aslantas, Mustafa; Sahin, Hakan (Taylor & Francis Inc, 2021)In this paper, we present two main results about best proximity points for multivalued mappings. First, taking into account Klim and Wardowski's approach in fixed-point theory, we obtain a new result for multivalued mappings ... -
A new approach to fractals via best proximity point
Altun, Ishak; Sahin, Hakan; Aslantas, Mustafa (Pergamon-Elsevier Science Ltd, 2021)In this paper, we present a new approach to fractals through best proximity points, inspired by the remarkable relationship between fixed point theory and fractal theory. In this way, we introduce the concept of proximal ... -
A New Best Proximity Point Result with an Application to Nonlinear Fredholm Integral Equations
Sahin, Hakan (Mdpi, 2022)In the current paper, we first introduce a new class of contractions via a new notion called p-cyclic contraction mapping by combining the ideas of cyclic contraction mapping and p-contraction mapping. Then, we give a new ... -
A new kind of F-contraction and some best proximity point results for such mappings with an application
Sahin, Hakan (Tubitak Scientific & Technological Research Council Turkey, 2022)In this paper, we aim to present a new and unified way, including the previously mentioned solution methods, to overcome the problem in [7] for closed and bounded valued F-contraction mappings. We also want to obtain a ... -
Some Caristi type fixed point theorems
Aslantas, Mustafa; Sahin, Hakan; Turkoglu, Duran (Springernature, 2021)In 1976, Caristi fixed point theorem was proved for ordinary metric spaces. After that, it was shown that this result is equivalent to Ekeland variational principle which has a great number of applications in many branches ... -
Some Ciric Type Periodic Point Results with Q-function on Quasi Metric Spaces
Sahin, Hakan; Turkoglu, Duran (Amer Inst Physics, 2021)In this paper, we proved a Ciric type periodic point result with a Q-function on quasi metric spaces. We also give an illustrative example to show the effectiveness of our main result. -
Some generalizations for mixed multivalued mappings
Aslantas, Mustafa; Sahin, Hakan; Sadullah, Ugur (Univ Politecnica Valencia, Editorial Upv, 2022)In this paper, we first introduce a new concept of KW-type m contraction mapping. Then, we obtain some fixed point results for these mappings on M-metric spaces. Thus, we extend many well-known results for both single ...