[PDF] Top 20 A short note on the equivalence between ‘best proximity’ points and ‘fixed point’ results
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A short note on the equivalence between ‘best proximity’ points and ‘fixed point’ results
... Following the same lines as the proof of Theorem . in [], one can show that {Txn } is a Cauchy sequence in the complete metric space X, d.. Note that since g is an isometry, it is con[r] ... See full document
9
Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition
... fixed points of a pair of multivalued maps in a complete metric space) which are based on previous Suzuki et ...Ćirić’s results for single-valued self-mappings in some background literature ... See full document
21
Best proximity point theorems for rational proximal contractions
... fixed points ensure the ex- istence of best proximity ...Some results of this kind are obtained in [, –]. Note that the authors often, in proving these results, assume ... See full document
11
Common fixed points and best proximity points of two cyclic self-mappings
... fixed points, [, ...fixed points with such self- mappings. There are some classical results available concerning the case when one of the self-mappings is continuous or when both self-mappings ... See full document
17
Best proximity points and fixed points for p-summing maps
... in fixed point theory is the Banach contraction ...[1]. Fixed point theory is an important tool for solving equations Tx = x for mappings T defined on subsets of metric spaces or normed ...a ... See full document
12
Equivalence results between Nash equilibrium theorem and some fixed point theorems
... fixed point theorems play an important role in game theory and math- ematical economics ...the best response correspondence and applied the Berge maximum theorem and Kakutani fixed point theorem to ... See full document
10
On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
... Fixed point theory has also proved to be an important tool for the study of relevant prob- lems in science and engineering concerning local and global stability, asymptotic stability, stabilization, ... See full document
22
Best proximity points and extension of Mizoguchi-Takahashi’s fixed point theorems
... a best proximity point of such mappings in metric spaces via prop- erty UC ∗ due to Sintunavarat and Kumam ...main results, we investigate best proximity point theorems in ... See full document
15
Some new results on fixed and best proximity points in preordered metric spaces
... a best proximity point (in- deed, P = (, ) is a best proximity point of T ...a best proximity point in A because T is not an almost (ϕ, θ ) ... See full document
15
Nonlinear conditions for the existence of best proximity points
... B: Fixed point results for almost generalized cyclic ( ψ , ϕ )-weak contractive type mappings with ...new results and generalizations in metric fixed point ...fixed point theorems. ... See full document
7
A note on fixed point results in complex valued metric spaces
... fixed point results for mappings satisfying a rational ...fixed point results for various mapping satisfying a rational inequal- ities in the context of complex-valued metric spaces; see ... See full document
11
Fixed point and best proximity point theorems for contractions in new class of probabilistic metric spaces
... distance between x and y is less than ...distance between image points Tx and Ty is less than kt is at least as large as the probability that the distance between x and y is less than ... See full document
15
Best Proximity Point Theorems for p-Cyclic Meir-Keeler Contractions
... a best proximity point for such a map Theorem ...distances between the adjacent sets are equal under this map, and this fact plays an important role in obtaining a best proximity ... See full document
9
Best proximity points and stability results for controlled proximal contractive set valued mappings
... on best proximity points and some stability results for controlled proximal set val- ued contractive mappings in the setting of two (generalized) metric ... See full document
23
Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps
... Let E : E, · be a normed space, A a nonempty subset of E, and T : A → E a single- valued map. Whenever the equation T x x has no solution in A, it is natural to ask if there exists an approximate solution. Fan 1 provided ... See full document
10
Common best proximity points results for new proximal C-contraction mappings
... C-contraction pair, then (f , g) is a generalized proximal C-contraction pair. Then by the proof of the last theorem, z is a common best proximity of f and g . The following corollary is an immediate ... See full document
10
A Result on Best Proximity Point
... unique fixed point that is realizable as the limit of Picard ...these results are self-mappings. Fixed point theory is an indispensable tool for solving the equation Tx = x for a ... See full document
5
Remotest Points and Best Proximity Points in Metric Spaces
... of best proximity points for cyclic contraction mappings is very ...a point x ∈ A ∪ B is called a best proximity point of cyclic map T : A ∪ B → A ∪ B, if d(x, T x) = d(A, ... See full document
6
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. ... See full document
12
A discussion on best proximity point and coupled best proximity point in partially ordered metric spaces
... fixed point of T by minimizing the function d(x, ...a proximity point at which the proximity pair is ...the proximity point problem is to find an optimal approximate solution of ... See full document
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