[PDF] Top 20 The existence of best proximity points with the weak P-property
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The existence of best proximity points with the weak P-property
... a best proximity point if d(x, Tx) = d(A, B), where d(A, B) = inf {d(x, y) : x ∈ A, y ∈ ...many existence theorems of best prox- imity ...of existence theorem, and Zhang et ... See full document
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Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs
... studied existence and convergence results of best proximity points in a more general ...for best proximity ...on best proximity points for semi-cylic ... See full document
12
Cone Metric Version of Existence and Convergence for Best Proximity Points
... and existence results of best proximity points for a cyclic φ-contractions in metric spaces and proved the existence of a best proximity point for a cyclic contraction in ... See full document
5
Results on the Existence and Convergence of Best Proximity Points
... the existence of best proximity points for cyclic ϕ-contraction maps in reflexive Banach spaces in one of their works ...the existence of best proximity points in ... See full document
10
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 ... See full document
9
Nonlinear conditions for the existence of best proximity points
... the existence, uniqueness and convergence of iterates to the best proximity point were investigated by several authors; see [–] and references ...interesting best proximity point ... See full document
7
The existence and convergence of best proximity points for generalized proximal contraction mappings
... the existence and convergence as regards best proximity point theorems for these classes and also give some illustrative examples of our main ... See full document
16
Existence of common best proximity points of generalized $S$-proximal contractions
... common best proximity point theorem for proximally commuting non-self mappings, thereby yielding the common optimal approximate solution of some fixed point equations when there is no common ... See full document
8
Existence of Best Proximity Points for Generalized (α-η) – Rational Proximal Contraction
... Abstract - In this work, we introduce the concept of generalized α-η- rational proximal contraction of first and second kind. Then we establish some best proximity theorems for such kind of contraction in ... See full document
9
Common fixed points and best proximity points of two cyclic self-mappings
... fixed points, [, ...fixed points with such self- ...the existence of common fixed points in cone met- ric spaces [, ] and in fuzzy metric spaces and under contractive conditions of integral ... See full document
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Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets
... asymptotic weak prox- imal contraction of Definition ...the existence and uniqueness of best proximity points if, in addition to the assumptions of Proposition ... See full document
24
Coupled best proximity point theorem in metric Spaces
... coupled best proxi- mity point and cyclic contraction ...the existence and conver- gence theorem of coupled best proximity points in metric ...the existence and convergence of ... See full document
16
Best proximity points for tricyclic contractions
... which implies that (T n x) is a Cauchy sequence. Hence, (T n x) converges to some point t ∈ X, nevertheless, an infinite number of terms of the sequence (T n x) lie in A, as in B and C, as a result, t ∈ A ∩ B ∩ C. The ... See full document
12
Best proximity points in partially ordered metric spaces
... The existence of best proximity point is an important aspect of optimization ...the existence and uniqueness of best proximity points for these mappings in partially ... See full document
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Coupled best proximity points in ordered metric spaces
... the existence and uniqueness of a coupled best proximity point for mappings satisfying the proximally coupled contraction condition in a complete ordered metric ... See full document
13
Best proximity points for Geraghty’s proximal contraction mappings
... classical best approximation theorem was introduced by Fan [], that is, if A is a non- empty compact convex subset of a Hausdorff locally convex topological vector space B and T : A → B is a continuous mapping, ... See full document
17
On best proximity points of upper semicontinuous multivalued mappings
... the existence of best proximity points was established by many authors, ...[]. Best proximity point theorems for relatively nonexpansive single-valued mapping were studied in ... See full document
10
Remotest Points and Best Proximity Points in Metric Spaces
... of existence 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) = ... See full document
6
Common best proximity points results for new proximal C-contraction mappings
... We define a new version of proximal C-contraction and prove the existence and uniqueness of a common best proximity point for a pair of non-self functions. Then we apply our main results to get some ... See full document
10
Fixed Point and Best Proximity Theorems under Two Classes of Integral-Type Contractive Conditions in Uniform Metric Spaces
... the existence of fixed points and best proximity points of p-cyclic self- maps on a set of subsets of a certain uniform space under integral-type contractive ... See full document
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