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[PDF] Top 20 φ-Contraction in generalized probabilistic metric spaces

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φ-Contraction in generalized probabilistic metric spaces

φ-Contraction in generalized probabilistic metric spaces

... Metric spaces are generalized in different ways creating spaces like fuzzy metric spaces, -metric spaces, ...etc. Generalized metric space is one of ... See full document

9

Generalized probabilistic metric spaces and fixed point theorems

Generalized probabilistic metric spaces and fixed point theorems

... of metric spaces and proposed a generalization of metric spaces called Menger probabilistic metric spaces (briefly, Menger ... See full document

15

Common fixed points of generalized contraction maps in metric spaces

Common fixed points of generalized contraction maps in metric spaces

... In a similar way, under the assumption (ii), we can obtain the existence of common fixed point of A, B, S and T . Uniqueness of common fixed point follows from the inequality (3.1). Theorem 3.7. Let A, B, S and T be ... See full document

34

Some fixed point results in dislocated quasi metric (dq metric) spaces

Some fixed point results in dislocated quasi metric (dq metric) spaces

... Hitzler and Seda [] investigated the useful applications of dislocated topology in the context of logic programming semantics. In order to obtain a unique supported model for these programs, they introduced the notation ... See full document

11

Fixed point theorems and partial metric spaces

Fixed point theorems and partial metric spaces

... partial metric space was introduced by Matthews [7] as a part of the study of denotational semantics of dataflow ...for generalized cyclic contraction on partial metric ...hybrid ... See full document

17

Probabilistic b-metric spaces and nonlinear contractions

Probabilistic b-metric spaces and nonlinear contractions

... from spaces, there are too many generalizations of metric ...b-metric spaces as a generalization of met- ric ...the contraction mapping principle in b-metric spaces that ... See full document

15

Generalized contraction principle under relatively weaker contraction in partial metric spaces

Generalized contraction principle under relatively weaker contraction in partial metric spaces

... that φ is ...that φ is lower semicontinuous. Indeed, if φ is lower semicontinuous function, then, for a sequence { δ n } with lim n→∞ δ n = δ > 0, we have lim inf n→∞ φ(δ n ) ≥ φ(δ) ... See full document

22

Some Fixed Point Theorems in Complete v generalized Metric Spaces

Some Fixed Point Theorems in Complete v generalized Metric Spaces

... The contraction principle introduced by Banach [1] is one of the most important results in mathematical ...was generalized in many different directions (see ...-generalized metric ... See full document

5

Vol 8, No 9 (2017)

Vol 8, No 9 (2017)

... Keywords: Fixed point, comparison function, generalized metric space, Cyclic ϕ -contraction, cyclic weak φ - contraction.. Mathematics subject classification: Primary 47H10, Second[r] ... See full document

6

Periodic points for the weak contraction mappings in complete generalized metric spaces

Periodic points for the weak contraction mappings in complete generalized metric spaces

... - φ)-weak contraction mappings and (ψ - φ)-weak contraction mappings in complete generalized metric spaces and prove two theorems which assure the existence of a periodic ... See full document

9

On Fixed Points of Generalized α-φ Contractive Type Mappings in Partial Metric Spaces

On Fixed Points of Generalized α-φ Contractive Type Mappings in Partial Metric Spaces

... Partial Metric Spaces Endowed with a Partial Order Fixed point theory has developed rapidly in partially ordered metric ...Banach contraction principle in partially ordered ... See full document

11

Fixed point results in multiplicative generalized metric spaces

Fixed point results in multiplicative generalized metric spaces

... multiplicative generalized metric spaces and then prove the Banach contraction principle in setting of newly defined ...multiplicative generalized metric spaces and ... See full document

35

A fixed point of generalized TF
              -contraction mappings in cone metric spaces

A fixed point of generalized TF -contraction mappings in cone metric spaces

... Corollary 4.10. Let (X, d) be a complete cone metric space and P be a cone. Let T : X ® X be a mapping such that T is one to one and closed graph. Suppose j : P ® P is a non-vanishing mapping and sub-additive cone ... See full document

15

A generalization of a contraction principle in probabilistic
metric spaces  Part II

A generalization of a contraction principle in probabilistic metric spaces Part II

... In the proof of Theorem 2.4 we need the following lemma, which is the analog of uniform continuity of a metric (note that ([0, 1],T ) is rather a semigroup than a group). Lemma 2.3. Let (S,F,T ) be a ... See full document

8

Vol 6, No 9 (2015)

Vol 6, No 9 (2015)

... complete metric spaces. In this work, we introduced 𝑇𝑇 𝐹𝐹 – Contraction in complete 𝐺𝐺 -Metric Spaces and we study some fixed point Theorems of generalized 𝑇𝑇 𝐹𝐹 – ... See full document

7

Generalized probabilistic G-contractions

Generalized probabilistic G-contractions

... 21. Schweizer, B, Sklar, A, Pap, E: The metrization of statistical metric spaces. Pac. J. Math. 10, 673-675 (1960) 22. Mihet, D: Multivalued generalizations of probabilistic contraction. J. ... See full document

21

Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces

Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces

... fuzzy metric spaces with the help of a continuous t-norm and generalized the concept of a probabilistic metric space to the fuzzy ... See full document

18

On some recent coincidence and immediate consequences in partially ordered b-metric spaces

On some recent coincidence and immediate consequences in partially ordered b-metric spaces

... almost generalized (ψ, φ, θ )-contractive mapping with respect to g : X → X, and T and g be continuous such that T has the mixed g- monotone property and commutes with ... See full document

18

Characterization of Multiplicative Metric Completeness

Characterization of Multiplicative Metric Completeness

... multiplicative metric spaces. The derived results results generalized Banach contraction principle in multiplicative metric spaces and characterize completeness of the underlying ... See full document

5

Fixed point theorems for a generalized almost (ϕ,φ) contraction with respect to S in ordered metric spaces

Fixed point theorems for a generalized almost (ϕ,φ) contraction with respect to S in ordered metric spaces

... Theorem . ([, Theorem .]) Let E be a subset of a metric space (X, d) and S, T be two selfmaps of E such that T (E) ⊆ S(E). Suppose that S and T are weakly compatible, T is an S-contraction and S(E) is ... See full document

11

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