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[PDF] Top 20 Common fixed points and best proximity points of two cyclic self-mappings

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Common fixed points and best proximity points of two cyclic self-mappings

Common fixed points and best proximity points of two cyclic self-mappings

... are cyclic self-mappings satisfying the contractive condition ...exist two unique best proximity points z ∈ A, y ∈ B of the self-mappings S, T , T ◦ S : A ∪ ... See full document

17

Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type

Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type

... of best proximity points of (in general) non-self-map- pings S,T:A ® B relating non-empty subsets of metric spaces in the case that such maps do not have common fixed ... See full document

17

On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points

On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points

... fuzzy cyclic multivalued mappings and the convergence properties of sequences constructed via such maps to fuzzy best proximity points and fuzzy fixed ...the cyclic disposal do ... See full document

22

Common best proximity points results for new proximal C-contraction mappings

Common best proximity points results for new proximal C-contraction mappings

... a common best proximity point z. If w is another common best proximity point of (f , g), then, since α(z, w) ≥ , Step  implies that z = ... See full document

10

Common best proximity points theorem for four mappings in metric-type spaces

Common best proximity points theorem for four mappings in metric-type spaces

... of common best proximity points for pairs of non-self-mappings in metric-type ...a common global minimal solution to the problem of minimizing the real valued ... See full document

7

Faintly compatible mappings and common fixed points

Faintly compatible mappings and common fixed points

... of common fixed points of commuting continuous self-maps of a compact convex set had remained an open problem for a fairly long ...exist two continu- ous commuting self-maps of the unit ... See full document

9

Coincidence point and common fixed point results via scalarization function

Coincidence point and common fixed point results via scalarization function

... past two decades a considerable amount of research work for the development of fixed point theory have executed by several ...important fixed point theorems in such ...of fixed point ...of ... See full document

15

Common fixed points for self-mappings on partial metric spaces

Common fixed points for self-mappings on partial metric spaces

... a common fixed point for two self-mappings on partial metric ...set-valued mappings in the context of 0-complete partial metric ... See full document

10

Best proximity points and fixed points for p-summing maps

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

Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets

Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets

... of best proximity points is an important tool in fixed point theory concerning cyclic nonexpansive mappings including the problems of (strict) contractions, asymptotic contractions, ... See full document

24

Best proximity points of generalized almost ψ-Geraghty contractive non-self-mappings

Best proximity points of generalized almost ψ-Geraghty contractive non-self-mappings

... Definition . Let A, B be two nonempty subsets of a metric space (X, d). A mapping T : A → B is said to be a ψ -Geraghty contraction if there exist β ∈ S and ψ ∈ such that ψ d(Tx, Ty) ≤ β ψ d(x, y) ψ d(x, y) for ... See full document

13

On best proximity points for pseudocontractions in the intermediate sense for non-cyclic and cyclic self-mappings in metric spaces

On best proximity points for pseudocontractions in the intermediate sense for non-cyclic and cyclic self-mappings in metric spaces

... has two parts: Case (A) refers to an asymptotically nonexpansive self-mapping which is contractive for any number of finite iteration steps and Case (B) refers to an asymptotically nonexpansive ... See full document

24

On best proximity points for multivalued cyclic $F$-contraction mappings

On best proximity points for multivalued cyclic $F$-contraction mappings

... a self mapping of a complete metric (X, d), such that d(T x, T y) ≤ Ld(x, y) for each x, y ∈ X, where 0 ≤ L < ...unique fixed point. Further, since Banach’s fixed point theorem, because of its ... See full document

12

Fixed Point and Best Proximity Theorems under Two Classes of Integral-Type Contractive Conditions in Uniform Metric Spaces

Fixed Point and Best Proximity Theorems under Two Classes of Integral-Type Contractive Conditions in Uniform Metric Spaces

... of fixed points and best proximity points in restricted p-cyclic self-maps F : X | i∈p A i → X | i∈p A i of X, 8, subject to the constraint FA i ⊆ A ... See full document

12

Best Proximity Points for a New Class of Generalized Proximal Mappings

Best Proximity Points for a New Class of Generalized Proximal Mappings

... the fixed point equation T x = x, where T : A → B is some nonlinear ...a fixed point of the operator ...the best proximity point of T . The notion of best proximity point was ... See full document

8

Common Best Proximity Points for Cyclic φ-Contraction Maps

Common Best Proximity Points for Cyclic φ-Contraction Maps

... a cyclic ϕ− contraction map. The best proximity point theorems emerge as a natural generalization of fixed point theorems, because a best proximity point reduces to a ... See full document

9

Common fuzzy fixed points for fuzzy mappings

Common fuzzy fixed points for fuzzy mappings

... fuzzy mappings satisfying Edelstein, Alber and Guerr-Delabriere type contractive conditions in a metric linear ...fuzzy mappings under Edelstein locally contractive conditions on a compact metric space with ... See full document

11

Cone Metric Version of Existence and Convergence for Best Proximity Points

Cone Metric Version of Existence and Convergence for Best Proximity Points

... of cyclic φ-contractions in metric spaces which contains a class of cyclic contractions as a subclass, introduced by Eldred and Veeramani ...of best proximity points for a cyclic ... See full document

5

Some new results on cyclic relatively nonexpansive mappings in convex metric spaces

Some new results on cyclic relatively nonexpansive mappings in convex metric spaces

... a best proximity point theorem for generalized cyclic contractions in convex metric ...of cyclic relatively nonexpansive mappings in the setting of convex metric ... See full document

14

Common Fixed Points for Generalized Weakly Contractive Mappings in G-Metric Spaces

Common Fixed Points for Generalized Weakly Contractive Mappings in G-Metric Spaces

... Metric fixed point theory plays an important role in mathematics and applied ...of fixed point ...contractive mappings in Hilbert spaces and proved some fixed point theorems in this ...some ... See full document

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