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Browsing by Author "Abkar, Ali"

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    A Discussion on the Coincidence Quasi-Best Proximity Points
    (Univ Nis, Fac Sci Math, 2021) Abkar, Ali; Karapinar, Erdal; Fouladi, Farhad; 19184
    In this paper, we first introduce a new class of the pointwise cyclic-noncyclic proximal contraction pairs. Then we consider the coincidence quasi-best proximity point problem for this class. Finally, we study the coincidence quasi-best proximity points of weak cyclic-noncyclic Kannan contraction pairs. We consider an example to indicate the validity of the main result.
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    Citation - WoS: 1
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    Weak Proximal Normal Structure and Coincidence Quasi-Best Proximity Points
    (Univ Politecnica Valencia, Editorial Upv, 2020) Abkar, Ali; Karapinar, Erdal; Fouladi, Farhad; 19184
    We introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings. We also study the same problem for the class of pointwise noncyclic-noncyclic relatively nonexpansive pairs involving orbits. Finally, under the assumption of weak proximal normal structure, we prove a coincidence quasi-best proximity point theorem for pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. Examples are provided to illustrate the observed results.