Best proximity points
On best proximity points for multivalued cyclic $F$-contraction mappings
... Passing to limit n → ∞, we obtain d(z, T z) = d(A, B). Similarity, we also derive d(Sz, z) = d(A, B). Case 2: We will show that T or S have best proximity points in A and B, respectively. Under the ...
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Common fixed points and best proximity points of two cyclic self-mappings
... This section extends some relevant results from the previous sections to the case that the subsets do not intersect provided they are subsets of a uniformly convex Banach space. For such a case, Lemmas ., ., . and ...
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Existence of best proximity points for controlled proximal contraction
... In this paper, we investigate the sufficient condition for the existence of best proximity points for non-self-multivalued mappings. Additionally, we discuss the stability theorem for such mappings. ...
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Common best proximity points theorem for four mappings in metric-type spaces
... common best proximity points for pairs of non-self-mappings in metric-type ...Our best proximity point theorem generalizes a result due to Sadiq Basha ...common best ...
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On best proximity points of upper semicontinuous multivalued mappings
... of best proximity points was established by many authors, ...[]. Best proximity point theorems for relatively nonexpansive single-valued mapping were studied in [] in ...authors. ...
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Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs
... This paper aims to develop further these results. In this respect, we introduce the new notion of a semi cyclic ϕ-contraction pair of mappings, which contains semi cyclic contraction pairs as a subclass. Existence and ...
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Best proximity points in partially ordered metric spaces
... of best proximity point is an important aspect of optimization ...of best proximity points for these mappings in partially ordered CAT(0) ...
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Best proximity points for Geraghty’s proximal contraction mappings
... a best proximity point theorem guarantees the global minimization of d(x, Tx) by the requirement that an approximate solution x satisfies the condition d(x, Tx) = d(A, ...called best proximity ...
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Common Best Proximity Points for Cyclic φ-Contraction Maps
... of best proximity points of such maps in the setting of uniformly convex Banach ...of best proximity points for such contraction pairs in reflexive Banach ...
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Cone Metric Version of Existence and Convergence for Best Proximity Points
... Abstract In 2011, Gabeleh and Akhar [3] introduced semi-cyclic-contraction and considered the existence and convergence results of best proximity points in Banach spaces. In this paper, the author ...
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Best Proximity Points of Cyclic -Contractions on Reflexive Banach Spaces
... a best proximity point for a cyclic contraction map in a reflexive Banach ...of best proximity points of cyclic contraction maps defined on reflexive and strictly convex Banach spaces ...
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Results on the Existence and Convergence of Best Proximity Points
... of best proximity points for cyclic ϕ-contraction maps in reflexive Banach spaces in one of their works ...of best proximity points in the framework of more general metric ...of ...
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Some new results on fixed and best proximity points in preordered metric spaces
... of best proximity and fixed points in partially ordered metric spaces has been considered recently by many authors (see [, , , ...of best proximity points for a class of ...
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Best proximity points and fixed points for p-summing maps
... We have found a new type of a contractive condition that ensures the existence and uniqueness of fixed points and best proximity points in uniformly convex Banach spaces. We provide some ...
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Best Proximity Points for a New Class of Generalized Proximal Mappings
... the best proximity point of T . The notion of best proximity point was initiated by Fan [1] for normed ...important best proximity point theorems in different settings: Jleli et ...
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Coupled best proximity points in ordered metric spaces
... of best proximity points is an interesting topic of opti- mization theory which recently attracted the attention of many authors ...of best proximity point in the setting of partially ...
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Remotest Points and Best Proximity Points in Metric Spaces
... of best proximity points for cyclic contraction mappings is very ...a best proximity point of cyclic map T : A ∪ B → A ∪ B, if d(x, T x) = d(A, B) where d(A, B) = inf{d(a, b) : a ∈ A, b ...
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The existence and convergence of best proximity points for generalized proximal contraction mappings
... established best proximity point theorems for proximal contractions of the first and the second kinds which are more general than the fixed point theorems of ...of best proximity point theorems ...
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Best proximity points and extension of Mizoguchi-Takahashi’s fixed point theorems
... a best proximity and established a classical best approximation ...the best proximity point results in many ways (see in [–] and the references ...
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Existence of Best Proximity Points for Generalized (α-η) – Rational Proximal Contraction
... classical best approximation theorem was introduced by Fan[1], and he ensure that if 𝐾 is a nonempty, compact and convex subset of a normed space 𝐸, then for any continuous mapping 𝑇: 𝐾 → 𝐸 there exists an element ...
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