Yazar "Sahin, Hakan" seçeneğine göre listele

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    Caristi-Type Fixed Point Theorems and Some Generalizations on M-Metric Space
    (MALAYSIAN MATHEMATICAL SCIENCES SOC, 2020) Altun, Ishak; Sahin, Hakan; Turkoglu, Duran
    In this paper, taking into account Caristi's fixed point results on both metric spaces and partial metric spaces, we present their some extensions and generalizations on M-metric spaces. First, by providing a counter example, we noticed that a recent result on Caristi-type fixed point theorem on M-metric space is not suitable. Then we propounded two versions of Caristi's inequality and proved some related fixed point results on M -metric space.
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    Ciric type cyclic contractions and their best cyclic periodic points
    (North Univ Baia Mare, 2022) Aslantas, Mustafa; Sahin, Hakan; Altun, Ishak
    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 proximity point which is defined for cyclic mapping by giving a simple example. To overcome this deficiency, we give a more suitable definition named as best cyclic periodic point. Finally, we obtain some best cyclic periodic point theorems, including the famous periodic point result of Ciric [8], for nonunique cyclic contractions. We also provide some illustrative and comparative examples to support our results.
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    Feng-Liu type approach to best proximity point results for multivalued mappings
    (SPRINGER BASEL AG, 2020) Sahin, Hakan; Aslantas, Mustafa; Altun, Ishak
    Let (X, d) be a metric space, A and B be two nonempty subsets of X, and T : A. B be a mapping. In this case, since the equation x = Tx may not have an exact solution, it is meaningful to explore the approximate solution. The best approximation results in the literature are related to investigate such solutions. Further, best proximity point theorems not only investigate the approximate solution of the equation x = Tx, but also an optimal solution of the minimization problem min{d(x, Tx) : x is an element of A}. Such points are called the best proximity points of the mapping T. In this paper, considering the Feng and Liu's approach in fixed point theory, we present some new results for best proximity points of nonself multivalued mappings.
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    Fixed Point Results For Multivalued Mappings Of Feng-Liu Type On M-Metric Spaces
    (Mathematical Research Press-Math Res, 2018) Altun, Ishak; Sahin, Hakan; Turkoglu, Duran
    In this paper, we present some fixed point theorems for multivalued mappings of Feng-Liu type on complete M-metric spaces. Some illustrative examples are also provided to support our main results.
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    ?iri? type cyclic contractions and their best cyclic periodic points
    (SINUS Association, 2022) Aslantas, Mustafa; Sahin, Hakan; Altun, Ishak
    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 proximity point which is defined for cyclic mapping by giving a simple example. To overcome this deficiency, we give a more suitable definition named as best cyclic periodic point. Finally, we obtain some best cyclic periodic point theorems, including the famous periodic point result of ?iri? [8], for nonunique cyclic contractions. We also provide some illustrative and comparative examples to support our results. © 2022, SINUS Association. All rights reserved.
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    Some fixed point theorems for contractive mapping in ordered vector metric spaces
    (Int Scientific Research Publications, 2017) Cevik, Cuneyt; Altun, Ishak; Sahin, Hakan; Ozekena, Cetin Cemal
    In this paper, considering an order relation on a vector metric space which is introduced by Cevik and Altun in 2009, we present some fundamental fixed point results. Then, we provide some nontrivial examples show that the investigation of this work is significant. (C) 2017 All rights reserved.
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    Two fixed point results for multivalued F-contractions on M-metric spaces
    (Springer-Verlag Italia Srl, 2019) Sahin, Hakan; Altun, Ishak; Turkoglu, Duran
    In this article, by considering Feng-Liu's technique, we present new fixed point results for multivalued mappings which are regarding to F-contraction on M-complete M-metric space. Then, we provide some nontrivial examples showing that our main results proper extension of some earlier results in the literature.