Condensing Mappings and Best Proximity Point Results
نویسندگان
چکیده
منابع مشابه
New best proximity point results in G-metric space
Best approximation results provide an approximate solution to the fixed point equation $Tx=x$, when the non-self mapping $T$ has no fixed point. In particular, a well-known best approximation theorem, due to Fan cite{5}, asserts that if $K$ is a nonempty compact convex subset of a Hausdorff locally convex topological vector space $E$ and $T:Krightarrow E$ is a continuous mapping, then there exi...
متن کاملnew best proximity point results in g-metric space
best approximation results provide an approximate solution to the fixed point equation $tx=x$, when the non-self mapping $t$ has no fixed point. in particular, a well-known best approximation theorem, due to fan cite{5}, asserts that if $k$ is a nonempty compact convex subset of a hausdorff locally convex topological vector space $e$ and $t:krightarrow e$ is a continuous mapping, then there exi...
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Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost $Theta$- contraction mappings andto prove some best proximity point results for t...
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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
متن کاملBest Proximity Point Theorems for Some New Cyclic Mappings
Let A and B be nonempty subsets of a metric space X, d . Consider a mapping T : A ∪ B → A ∪ B, T is called a cyclic map if T A ⊆ B and T B ⊆ A. x ∈ A is called a best proximity point of T in A if d x, Tx d A,B is satisfied, where d A,B inf{d x, y : x ∈ A, y ∈ B}. In 2005, Eldred et al. 1 proved the existence of a best proximity point for relatively nonexpansive mappings using the notion of prox...
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ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2021
ISSN: 2314-4785,2314-4629
DOI: 10.1155/2021/5542994