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Weak - compatible maps.

Weak compatibility and fixed point theorems for four self maps in D metric spaces

Weak compatibility and fixed point theorems for four self maps in D metric spaces

... (or weak compatible) if f y = g y, for some y ∈ X, then g f y = f g ...limit weak compatible) maps and proved the ex- istence of unique common fixed point of four self-maps in a ...

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Fixed Point Theorem for Maps Satisfying a General Contractive Condition of Integral Type

Fixed Point Theorem for Maps Satisfying a General Contractive Condition of Integral Type

... Recently, Azam et al. [1] introduced complex-valued metric space which is more general than classical metric space. Sastry et al. [2] proved that every complex-valued metric space is metrizable and hence is not real ...

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FIXED POINT THEOREM IN MENGER SPACE FOR SEMI-COMPATIBLE MAPPINGS

FIXED POINT THEOREM IN MENGER SPACE FOR SEMI-COMPATIBLE MAPPINGS

... self maps to be coincidentally commuting or equivalently weakly compatible if they commute at their coincidence ...of weak commuting maps in metric ...to compatible maps. The ...

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Fixed Points Theorems for Weakly Compatible Maps along with Property (E  A  )

Fixed Points Theorems for Weakly Compatible Maps along with Property (E A )

... used by Jungck [6] to obtain a generalization of Banach’s fixed point theorem for a pair of mappings. This theorem has had many applications, but suffers from one drawback-the definition requires that T be continuous ...

6

COMMON FIXED POINTS OF COMPATIBLE MAPS IN PROBABILISTIC 2-METRIC SPACE

COMMON FIXED POINTS OF COMPATIBLE MAPS IN PROBABILISTIC 2-METRIC SPACE

... and weak commutativity in metric space and proved common fixed point ...of compatible maps of type (A) in Menger space and gave some fixed point ...of compatible mappings of type (A), Jain ...

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Common Fixed Point for Weakly Compatible Generalized - weak Contractive Mappings
                 

Common Fixed Point for Weakly Compatible Generalized - weak Contractive Mappings  

... The purpose of the present paper is to contribute in this field of investigation by proving some fixed point theorems for weakly compatible maps with no continuity and using generalized -weak ...

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Fixed point theorems for a class of generalized weak cyclic compatible contractions

Fixed point theorems for a class of generalized weak cyclic compatible contractions

... The concepts of (ψ, ϕ)-weak contractions, weakly compatible maps and altering dis- tance functions is interesting, though brief. These concepts were widely used in the con- struction of existence ...

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COINCIDENCE AND COMMON FIXED POINT THEOREMS FOR FAINTLY COMPATIBLE MAPS

COINCIDENCE AND COMMON FIXED POINT THEOREMS FOR FAINTLY COMPATIBLE MAPS

... Conclusion. Weak compatibility is most widely used concept among all weaker forms of commuting maps and remains the minimal condition of commutativity for the existence of common fixed point for a long ...

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Common Fixed Point Theorems for Compatible and Weakly Compatible Maps in G Metric Spaces

Common Fixed Point Theorems for Compatible and Weakly Compatible Maps in G Metric Spaces

... u  u  are coincidence points of f and g, where they do not commute. Moreover, they commute at x = 0, 1, 2, ... but none of these points are coincidence points of f and g. Thus we can conclude that, property (E.A.) does ...

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FIXED POINTS OF WEAK COMPATIBILITY IN MENGER SPACE

FIXED POINTS OF WEAK COMPATIBILITY IN MENGER SPACE

... self maps to be coincidentally commuting or equivalently weakly compatible if they commute at their coincidence ...of weak commuting maps in metric ...

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FIXED POINTS IN MENGER SPACE FOR COMPATIBILITY OF TYPE (B) AND OCCASIONALLY WEAKLY COMPATIBLE

FIXED POINTS IN MENGER SPACE FOR COMPATIBILITY OF TYPE (B) AND OCCASIONALLY WEAKLY COMPATIBLE

... self maps to be coincidentally commuting or equivalently weakly compatible if they commute at their coincidence ...of weak commuting maps in metric ...to compatible maps. The ...

10

Fixed points of weak α-contraction type maps

Fixed points of weak α-contraction type maps

... α-ψ-quasi-contractive maps and obtained some fixed point ...type maps and gave the sufficient condition for the existence of a unique coupled fixed point for α-ψ - contractive type ...

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COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACE USING SEMI-COMPATIBLE MAPPINGS

COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACE USING SEMI-COMPATIBLE MAPPINGS

... self maps has been restricted to semi-compatible and occasionally weakly compatible self maps and continuity of the mappings have been completely ...

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Coincidence and Common Fixed Point Using Sequentially Weak Contractive Mapping

Coincidence and Common Fixed Point Using Sequentially Weak Contractive Mapping

... [10]. Moradi S. and Farajzadeh A., On the fixed point of ( 𝜓 − 𝜑 ) - weak and generalized (𝜓 − 𝜑) - weak contraction mappings, Applied Mathematics Letters 25 (2012), 1257-1262. [11]. Nadler,S.B.JR. sequence ...

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Coincidences and fixed points of reciprocally continuous and compatible hybrid maps

Coincidences and fixed points of reciprocally continuous and compatible hybrid maps

... of compatible maps has proven useful for general- izing results in the context of metric fixed point theory for continuous single-valued and multivalued maps ...single-valued maps has been ...

9

Common fixed points of biased maps of type 
            (A)
 and applications

Common fixed points of biased maps of type (A) and applications

... A generalization of compatible maps of type A called "biased maps of type A" is introduced and used to prove fixed point theorems for certain contractions of four maps.. Extensions of kn[r] ...

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Coincidence and fixed points for compatible and relatively nonexpansive maps

Coincidence and fixed points for compatible and relatively nonexpansive maps

... Non-continuous compatible and relatively nonexpansive maps on star-shaped compact subsets of normed linear spaces are highlighted, and two theorems of Dotson are generalized... KEY WORDS[r] ...

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Best Approximation Results via Common Fixed  Points inComplex Valued Metric Spaces

Best Approximation Results via Common Fixed Points inComplex Valued Metric Spaces

... L satisfy (1.3) for all x, y in D∪ {u} and IJ(∂M) ⊆ M, KL(∂M) ⊆M, F(D) = D and G(D) = D. If D or F(D) or G(D) is complete, the pairs {F, IJ} and {G, KL} are weakly compatible and the pairs {K, L}, {K, G}, {L, G}, ...

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Weak gardens of Eden for 1 dimensional tessellation automata

Weak gardens of Eden for 1 dimensional tessellation automata

... maps and then a characterization of those weak Gardens of Eden which are not Garden of Eden for the same class of maps under the additional assumption that the cells of the tessellation [r] ...

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Common fixed point for six self maps in metric space

Common fixed point for six self maps in metric space

... 1.2 Weakly Compatible mappings [4]: Two self maps E and F of a metric space (X, d) are said to be weakly compatible if they commute at their coincidence point.. It is clear t[r] ...

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