A best proximity point theorem for α-proximal Geraghty non-self mappings
نویسندگان
چکیده
منابع مشابه
Best Proximity Point Theorems for F -contractive Non-self Mappings
In this article, we prove the existence of a best proximity point for F contractive nonself mappings and state some results in the complete metric spaces. Also we define two kinds of F proximal contraction and extend some best proximity theorems and improve the recent results. 2010 Mathematics Subject Classification: 46N40; 47H10; 54H25; 46T99
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Let us consider a pair (A, B) of nonempty subsets of a metric space X and a mapping T : A → B. In this article, we introduced a notion called P−property and used it to prove sufficient conditions for the existence of a point x0 ∈ A, called best proximity point, satisfying d(x0, Tx0) = dist(A, B) := inf{d(a, b) : a ∈ A, b ∈ B}.
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*Correspondence: [email protected] Department of Mathematics and Computer Science, Institut National Des Sciences Appliquée et de Technologie de Tunis, Carthage University, Centre Urbain Nord BP 676, Tunis, 1080, Tunisia Abstract Herein, we search for some best proximity point results for a novel class of non-self-mappings T : A−→ B called generalized proximal α-β-quasi-contractive. We illus...
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In this paper, based on [A. Razani, V. Rako$check{c}$evi$acute{c}$ and Z. Goodarzi, Nonself mappings in modular spaces and common fixed point theorems, Cent. Eur. J. Math. 2 (2010) 357-366.] a fixed point theorem for non-self contraction mapping $T$ in the modular space $X_rho$ is presented. Moreover, we study a new version of Krasnoseleskii's fixed point theorem for $S+T$, where $T$ is a cont...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2019
ISSN: 1687-1812
DOI: 10.1186/s13663-019-0661-8