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Common fixed point for four mappings

Common Fixed Point Theorems for Four Mappings on Cone Metric Type Space

Common Fixed Point Theorems for Four Mappings on Cone Metric Type Space

... If {S, F} is weakly compatible pair, we have SFx FSx, which implies Mb b, that is, b 0. Similarly, if {T, G} is weakly compatible pair, we have TGy GTy, which implies Md d, that is, d 0. Then x y 0, and z 0 is the unique ...

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An Improvement of a Known Unique Common Fixed Point Result for Four Mappings on 2 Metric Spaces

An Improvement of a Known Unique Common Fixed Point Result for Four Mappings on 2 Metric Spaces

... unique common fixed point theorem for four mappings with  -contrac- tive condition [1,2] on 2-metric spaces in [1], where  is a continuous and non-decreasing real function on  0,  ...

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An improvement of known unique common fixed point theorems for four mappings on multiplicative metric spaces

An improvement of known unique common fixed point theorems for four mappings on multiplicative metric spaces

... of four mappings and replacing the compatibility and ϕ-weak commutativity by the weak compatibility, we obtain a generalized result of some well-known unique common fixed point theorems ...

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Common Fixed Point for Four Mappings in Cone Metric Space

Common Fixed Point for Four Mappings in Cone Metric Space

... In 2007, L.G Huang and X.Zhang [4] introduced cone metric space by replacing the real number set with an ordered Banach space in co-domain. After that the concept of metric space is generalised and that is cone metric ...

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Common fixed point theorems for four mappings satisfying ψ-weakly contractive conditions

Common fixed point theorems for four mappings satisfying ψ-weakly contractive conditions

... of common fixed points for four mappings satisfying ψ - and ( ψ , ϕ )-weakly contractive conditions in metric spaces are ...proved. Four examples are given to demonstrate that the results ...

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A Common Fixed Point Theorem in Complex Valued Metric Space for Four Mappings

A Common Fixed Point Theorem in Complex Valued Metric Space for Four Mappings

... of common fixed points of a pair of mappings satisfying a contractive ...on common fixed point for weakly compatible mappings in a complex valued metric ...some ...

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Some Common Fixed Point Theorems for Four Mappings in Dislocated Metric Space

Some Common Fixed Point Theorems for Four Mappings in Dislocated Metric Space

... In 1986, S. G. Matthews [1] introduced some concepts of metric domains in the context of domain theory. In 2000, P. Hitzler and A. K. Seda [2] introduced the concept of dis- located topology where the initiation of ...

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Common Fixed Points in Fuzzy Metric Spaces

Common Fixed Points in Fuzzy Metric Spaces

... ,Common fixed points of four mappings in a fuzzy metric spaces and modified the notion of fuzzy metric spaces with the help of continuous ...obtained common fixed point ...

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Common fixed point theorems for compatible mappings

Common fixed point theorems for compatible mappings

... By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a the[r] ...

6

Common fixed point theorems for four weakly compatible mappings using CLRg property

Common fixed point theorems for four weakly compatible mappings using CLRg property

... be two sequences in X. The pairs ( f , k) and (g, h) satisfy (E.A.) property. Also the pairs ( f , k) or (g, h) satisfy (CLRf) or (CLRg) property. The pairs ( f , k) and (g, h) are weakly compatible. All the conditions ...

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A discussion on a common fixed point theorem on semicompatible mappings

A discussion on a common fixed point theorem on semicompatible mappings

... Bx  B X  S X gives Bx 3  Sx 4 and so on. Proceeding in this similar manner, we can define a sequence { } y n in X such that y 2 n  Ax 2 n  Tx 2 n  1 and y 2 n  1  Bx 2 n  1  Sx 2 n  2 for n  0 . We shall call ...

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Common Fixed Point Theorems for Four Fuzzy Mappings

Common Fixed Point Theorems for Four Fuzzy Mappings

... for four fuzzy mappings through a 4-variable generalization of altering distance function and then prove that the two fuzzy mappings defined on a complete ordered metric linear space satisfying such ...

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Common Fixed Point Theorem for Four Non-Self Mappings in Cone Metric Spaces

Common Fixed Point Theorem for Four Non-Self Mappings in Cone Metric Spaces

... a point of coincidence as T 1 F1 as well as S1 G1 whereas both the pairs F, T and G, S are weakly compatible as TF1 1 FT 1 and SG1 1 ...unique common fixed point of F, G, S, and ...a ...

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On β-admissible contraction and common fixed point theorems for L-fuzzy mappings

On β-admissible contraction and common fixed point theorems for L-fuzzy mappings

... Definition 3.4. Let (X , d) be a complete metric space, β : X × X −→ [0, ∞) , ϕ ∈ ψ and S, T be L-Fuzzy mappings from X into F L (X ). The ordered pair (S, T ) is said to be a generalized β - admissible ...

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Two common fixed Point theorems for compatible mappings

Two common fixed Point theorems for compatible mappings

... proved common fixed point theorems for a variety of commuting self-mappings on usual metric, as well as on different kinds of generalized metric spaces([3, 5, 6, 8],[9]-[17], [22, ...

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Common fixed point of generalized ($\psi$-$\varphi$)-weak contraction mappings

Common fixed point of generalized ($\psi$-$\varphi$)-weak contraction mappings

... Let (X, d) be a complete metric space and let f, g : X −→ X be two mappings which satisfy a (ψ − ϕ)-weak contraction condition or generalized (ψ − ϕ)-weak contraction condition. Then f and g have a unique ...

7

Fixed points and continuity for multivalued mappings

Fixed points and continuity for multivalued mappings

... Fixed point theorems for multi-valued mappings in complete metric spaces, Math.. Common fixed points of two mappings, Pacific J.[r] ...

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An algorithm for a common fixed point of a family of pseudocontractive mappings

An algorithm for a common fixed point of a family of pseudocontractive mappings

... a common fixed point of a finite family of Lipschitz pseudocontractive mappings under the assumption that the family satisfies condition (H), that is, the family {T i : i = , , ...pseudocontractive ...

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Common Fixed Point Results for Compatible Map in Digital Metric Space

Common Fixed Point Results for Compatible Map in Digital Metric Space

... prove fixed point theorems in metric spaces whose strength lie in their unifying power, as an implicit function can cover several contraction conditions at the same time, which include known as well as some ...

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Unique Common Fixed Point Theorem For Weakly Compatible Mappings In Digital Metric Space

Unique Common Fixed Point Theorem For Weakly Compatible Mappings In Digital Metric Space

... Lefschetz fixed point theorem for digital images and proposed the notion of a digital metric space and proved the well-known Banach Contraction Principle for digital ...

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