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generalized contraction

Generalized contraction mapping principle and generalized best proximity point theorems in probabilistic metric spaces

Generalized contraction mapping principle and generalized best proximity point theorems in probabilistic metric spaces

... the generalized contraction mapping principle and generalized best proximity point theorems have been proved by ...the contraction mapping principle and relevant best proximity point theorems ...

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Modified noor iterations for nonexpansive semigroups with generalized contraction in Banach spaces

Modified noor iterations for nonexpansive semigroups with generalized contraction in Banach spaces

... equivalence between Moudafi’s viscosity approximation with contractions and Brow- der-type iterative processes (Halpern-type iterative processes); see [14] for more details. In this article, inspired by above result, we ...

20

Generalized contraction principle

Generalized contraction principle

... Fixed point theorems are proved for contraction maps on M-convex spaces... Fixed Point Theorems, Contraion principle, M-convex spaces..[r] ...

6

Common fixed point results for generalized contraction  mappings in b - metric space

Common fixed point results for generalized contraction mappings in b - metric space

... for contraction mappings in complete metric space and also called it Banach fixed point theorem / Banach contraction principle which is considered as the mile stone in fixed point ...a contraction if ...

5

Generalized Contraction Mapping and Fixed Point Theorems in Complete Metric Space

Generalized Contraction Mapping and Fixed Point Theorems in Complete Metric Space

... Poincare [17] was the first to work in this field Fixed Point Theory. Then Brouwer [4] in 1912, proved fixed point theorem for the solution of the equation ( ) = . He also proved fixed point theorem for a square, a ...

6

Fixed points of generalized contraction maps in metric spaces

Fixed points of generalized contraction maps in metric spaces

... Banach contraction principle, some generalizations of contraction condition was obtained in ( [7] - [10], [13] ...new contraction map, namely JS-contraction map and proved the existence and ...

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Common fixed points of generalized contraction maps in metric spaces

Common fixed points of generalized contraction maps in metric spaces

... Banach contraction principle [5] which states that if (X , d) is complete metric space and T : X → X is a contraction map then T has a unique fixed point, is a fundamental result in this ...Banach ...

34

Generalized contraction principle under relatively weaker contraction in partial metric spaces

Generalized contraction principle under relatively weaker contraction in partial metric spaces

... The very first contribution to fixed point theory was due to Banach [3] in 1922. He con- ferred the celebrated result in his thesis, namely the Banach contraction principle. Later on, many researchers, fascinated by ...

22

Fixed point theorems with generalized altering distance functions in partially ordered metric spaces via w-distances and applications

Fixed point theorems with generalized altering distance functions in partially ordered metric spaces via w-distances and applications

... of generalized altering distance function to prove the following new fixed point theorem of generalized contraction mappings in a complete metric space endowed with a partial ...

25

A generalized weak contraction principle with applications to coupled coincidence point problems

A generalized weak contraction principle with applications to coupled coincidence point problems

... In this paper we establish some coincidence point results for generalized weak contractions with discontinuous control functions. The theorems are proved in metric spaces with a partial order. Our theorems extend ...

21

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

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

... In 2000, Branciari [5] introduced the following notion of a generalized metric space where the triangle inequality of a metric space had been replaced by an inequality involing three terms instead of two. Later, ...

9

Probabilistic G-contractions

Probabilistic G-contractions

... In this paper we introduce the notion of probabilistic G-contraction and establish some fixed point theorems in such settings. Our results generalize/extend some recent results of Jachymski and Sehgal and ...

14

Fixed Point Results for Geraghty Type Generalized F-contraction for Weak alpha-admissible Mapping in Metric-like Spaces

Fixed Point Results for Geraghty Type Generalized F-contraction for Weak alpha-admissible Mapping in Metric-like Spaces

... Abstract. In this paper, we establish the existence of some fixed point results for generalized (α, β, F )-Geraghty contraction in metric-like spaces. We provide an example in order to support our results ...

15

MATHEMATICAL MORPHOLOGY BASED CHARACTERIZATION OF BINARY IMAGE

MATHEMATICAL MORPHOLOGY BASED CHARACTERIZATION OF BINARY IMAGE

... This paper is organized as follows: We define ‘dilation asymmetry’ and ‘erosion asymmetry’ in the next section. These terms are not mentioned in classical mathematical morphology and are defined in this paper to ...

13

φ-Contraction in generalized probabilistic metric spaces

φ-Contraction in generalized probabilistic metric spaces

... In the same vein probabilistic generalized metric spaces have been introduced by Zhou et al. [] wherein they also proved certain primary fixed point results in these spaces. An interesting class of problems in ...

9

Extensions of Ćirić and Wardowski type fixed point theorems in D-generalized metric spaces

Extensions of Ćirić and Wardowski type fixed point theorems in D-generalized metric spaces

... rational contraction and Wardowski type F-contraction, where the function F is taken from a more general class of functions than that known in the existing ...

14

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 ...

17

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 ...

7

The existence and convergence of best proximity points for generalized proximal contraction mappings

The existence and convergence of best proximity points for generalized proximal contraction mappings

... Let X be an arbitrary nonempty set. A fixed point for a self-mapping T : X → X is a point x ∈ X such that Tx = x. The applications of fixed point theory are very important in diverse disciplines of mathematics, statistics, ...

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A Common End Point Theorem for Set-Valued Generalized -Weak Contraction

A Common End Point Theorem for Set-Valued Generalized -Weak Contraction

... We introduce the class of generalized ψ, ϕ-weak contractive set-valued mappings on a metric space. We establish that such mappings have a unique common end point under certain weak conditions. The theorem obtained ...

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