The Best Proximity Point Problem for New Types of Ciric a
نویسندگان
چکیده
Objectives: To generate the best proximity point theorem for new types of Ciric a
منابع مشابه
Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph
In this paper, we introduce a new type of graph contraction using a special class of functions and give a best proximity point theorem for this contraction in complete metric spaces endowed with a graph under two different conditions. We then support our main theorem by a non-trivial example and give some consequences of best proximity point of it for usual graphs.
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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...
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...
متن کاملOn Best Proximity Point Theorems for New Cyclic Maps
In this paper, we first introduce the concept of MT − K condition. Some best proximity point theorems for mappings satisfying MT − K condition instead of K-cyclic mappings are established in metric spaces. Our results generalize and improve some main results in [5] and references therein. Mathematics Subject Classification: 54H25
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ژورنال
عنوان ژورنال: Indian journal of science and technology
سال: 2023
ISSN: ['0974-5645', '0974-6846']
DOI: https://doi.org/10.17485/ijst/v16i29.708