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cyclic contraction

Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs

Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs

... semi cyclic ϕ-contraction pair of mappings, which contains semi cyclic contraction pairs as a ...semi cyclic ϕ-contraction pair of mappings, in the framework of a uniformly ...

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Common fixed point theorems for generalized cyclic contraction pairs in b-metric spaces with applications

Common fixed point theorems for generalized cyclic contraction pairs in b-metric spaces with applications

... generalized contraction mappings has become the focus of strong research activity in fixed point ...of cyclic contraction mappings in several ...of cyclic mappings and cyclic ...

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Best Proximity Point For New Symmetric Rational Cyclic Contraction in Metric Spaces

Best Proximity Point For New Symmetric Rational Cyclic Contraction in Metric Spaces

... gave the first result in cyclic contraction. After that several fixed point and best proximity point results have been proved in cyclic contraction. Some of these works may be noted in ...

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Best proximity point theorems for probabilistic proximal cyclic contraction with applications in nonlinear programming

Best proximity point theorems for probabilistic proximal cyclic contraction with applications in nonlinear programming

... proximal cyclic contraction in PM-spaces and this shows the existence of optimal approximate solutions of certain simultaneous fixed point equations in the event that there is no ...

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Common Fixed Point Theorems for Generalized Cyclic Contraction Pair in Partial B Metric Spaces

Common Fixed Point Theorems for Generalized Cyclic Contraction Pair in Partial B Metric Spaces

... Abstract: In this paper, we introduce the notion of generalized cyclic contraction pair with transitive mapping in partial b-metric spaces. Also, we establish some fixed point theorems for this ...

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Best proximity point results for Hardy–Rogers p-proximal cyclic contraction in uniform spaces

Best proximity point results for Hardy–Rogers p-proximal cyclic contraction in uniform spaces

... In this work, we have investigated the best proximity point results for Hardy–Rogers p- proximal cyclic contraction in uniform spaces. This provides a positive answer to the ques- tion of whether best ...

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Cyclic Contraction on S- Metric Space

Cyclic Contraction on S- Metric Space

... Abstract. In this paper we introduced the concepts of cyclic contraction on S- metric space and proved some fixed point theorems on S- metric space. Our presented results are proper generalization of Sedghi ...

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Fixed point theorems for cyclic contraction mappings in fuzzy metric spaces

Fixed point theorems for cyclic contraction mappings in fuzzy metric spaces

... of cyclic contraction, Păcurar and Ioan [] pro- posed the concept of cyclic ...of cyclic weak φ-contraction, and then discussed some main results pro- posed by Păcurar and Ioan [] ...

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Fixed point theorems for cyclic contraction on b-metric spaces with wt-distance

Fixed point theorems for cyclic contraction on b-metric spaces with wt-distance

... define cyclic generalized ϕ-contraction and (ψ , ϕ)−weakly contraction on b-metric spaces with wt-distance and related fixed point results are proved, which extend some results in the ...

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Mechanical Power output from Striated Muscle during Cyclic Contraction

Mechanical Power output from Striated Muscle during Cyclic Contraction

... At a peak-to-peak amplitude of 5—6 % rest length the excursion amplitude giving maximum work in a stimulated muscle the work absorbed per cycle is 0-1—0-25 J kg" 1 , which is about one-t[r] ...

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Endpoints of multi-valued cyclic contraction mappings

Endpoints of multi-valued cyclic contraction mappings

... for every x, y ∈ X (i.e. ϕ–weak contractive), where ϕ : [0, +∞) −→ [0, +∞) is a continuous and nondecreasing function with ϕ(0) = 0 and ϕ(t) > 0 for all t > 0. Then T has a unique fixed point. In the following ...

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Best proximity points for tricyclic contractions

Best proximity points for tricyclic contractions

... For a uniformly convex Banach space X, Eldred and Veeramani proved the following theorem. Theorem 1.2. [2] Let A and B be nonempty, closed and convex subsets subsets of a uniformly convex Banach space X and let T : A ∪ B ...

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Best proximity points and extension of Mizoguchi-Takahashi’s fixed point theorems

Best proximity points and extension of Mizoguchi-Takahashi’s fixed point theorems

... multi-valued cyclic contraction pair, which is an extension of Mizoguchi-Takahashi’s contraction mappings for non-self version and establish a best proximity point of such mappings in metric spaces ...

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Coupled best proximity point theorem in metric Spaces

Coupled best proximity point theorem in metric Spaces

... In this article the concept of coupled best proximity point and cyclic contraction pair are introduced and then we study the existence and convergence of these points in metric spaces. We also establish new ...

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Coupled Best Proximity Point Theorem in Metric Spaces

Coupled Best Proximity Point Theorem in Metric Spaces

... d(A, B) + 0 ≤ (p + q) 2 [d(A, B) + 0 ] + (1 − (p + q) 2 )d(A, B) = d(A, B) + (p + q) 2 0 which contradicts. Therefore, we can conclude that (2.1) holds. Lemma 14. Let A and B be nonempty subsets of a metric space X, (A, ...

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Cyclic compatible contraction and related fixed point theorems

Cyclic compatible contraction and related fixed point theorems

... The above concept is used to prove existence theorems in common fixed point theory. However, the study of common fixed points of weakly compatible maps is very impressive. In the literature one can find some interesting ...

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Cyclic admissible contraction and applications to functional equations in dynamic programming

Cyclic admissible contraction and applications to functional equations in dynamic programming

... called cyclic if fA ⊆ TB and fB ⊆ TA, where A, B are nonempty subsets of a metric space (X, ...called cyclic contraction if there exists k ∈ (, ) such that d(fx, fy) ≤ kd(Tx, Ty) for all x ∈ A and ...

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Common Best Proximity Points for Cyclic φ-Contraction Maps

Common Best Proximity Points for Cyclic φ-Contraction Maps

... a cyclic ϕ− contraction ...for cyclic contraction maps in uniformly convex Banach spaces and metric spaces, to include the case A ∩ B = ...for cyclic ϕ- contraction maps ...of ...

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Best proximity point results for generalized contractions in metric spaces

Best proximity point results for generalized contractions in metric spaces

... equation Tx = x. Indeed, in view of the fact that d(x, Tx) ≥ d(A, B) for all x, a best prox- imity point theorem offers sufficient conditions for the existence of an element x, called a best proximity point of the mapping T ...

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Fixed point theorems and partial metric spaces

Fixed point theorems and partial metric spaces

... In 1992, the notion of partial metric space was introduced by Matthews [7] as a part of the study of denotational semantics of dataflow networks. Henceforward, many authors made ef- forts to study various fixed point ...

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