Yazar "Aslantas, Mustafa" seçeneğine göre listele

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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.
  • Küçük Resim
    Öğe
    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.
  • [ X ]
    Öğe
    ?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.