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Fixed-Point Theorem

A fixed point theorem for holomorphic maps

A fixed point theorem for holomorphic maps

... Brouwer’s fixed point theorem to dilations f (rz) (r < 1), it is easy to see that the function π − f ˆ : M → C has a zero, but this merely says that some point in some fibre of π is mapped ...

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Coupled Fixed Point Theorem for Weakly Compatible Mappings in Menger Spaces

Coupled Fixed Point Theorem for Weakly Compatible Mappings in Menger Spaces

... “A Fixed Point Theorem in Menger Space through Weak Compatibility,” Journal of Mathe- matical Analysis and Applications, ...“Common Fixed Point Theorems of Compati- ...

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A Common Fixed Point Theorem for Compatible Mappings of Type (C)

A Common Fixed Point Theorem for Compatible Mappings of Type (C)

... [8] H. K. Pathak, Y. J. Cho, S. S. Chang, et al., “Compatible Mappings of Type (P) and Fixed Point Theorem in Metric Spaces and Probabilistic Metric Spaces,” Novisad. Jour- nal of Mathematics, Vol. ...

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Generalized Fixed Point Theorem for Quasi Contractions

Generalized Fixed Point Theorem for Quasi Contractions

... a fixed point theorem for generalized quasi-contractions of D*-metric spaces have been ...Generally fixed point theorems were established for self maps of metric ...Certain fixed ...

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Suzuki Type Fixed Point Theorem in b2 Metric Spaces

Suzuki Type Fixed Point Theorem in b2 Metric Spaces

... a point z X ∈ if for a given ε > 0 , there exists δ > 0 such that x X ∈ and d z x a ( , , ) < δ for all a X ∈ imply that d fz fx a ′ ( , , ) < ε ...

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Application of Common Fixed Point Theorem on Fuzzy Metric Space

Application of Common Fixed Point Theorem on Fuzzy Metric Space

... Abstract — This paper introduces the notion of common fixed point theorem for three mappings in fuzzy metric space for various applications on 2 and 3-metric spaces with examples. Here, the result ...

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A fixed point theorem and the Hyers Ulam stability in Riesz spaces

A fixed point theorem and the Hyers Ulam stability in Riesz spaces

... The Hyers-Ulam stability in Riesz spaces have already been studied in [] (with a direct method) and in [] (with an application of the spectral representation theorem). The main motivation for this kind of ...

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Clark’s fixed point theorem on a complete random normed module

Clark’s fixed point theorem on a complete random normed module

... In , Clark presented Clark’s fixed pointed theorem []. It has been applied in many fields such as optimization theory, different equations, and fixed point theory. Based on the recent work of random ...

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Fixed Point Theorems on Multi Valued Mappings in B Metric Spaces

Fixed Point Theorems on Multi Valued Mappings in B Metric Spaces

... Fixed point theory plays one of the important roles in nonlinear ...famous fixed point theorem for contractive mappings in complete metric ...

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Borel’s fixed point theorem for finite dimensional compact abelian groups

Borel’s fixed point theorem for finite dimensional compact abelian groups

... localization theorem of Borel-Segal-Quillen-Hsiang, intro- duced in [1, 2, 12, 16] is a powerful tool for cohomology theory of compact, especially compact abelian, transformation ...localization theorem is ...

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A Unique Common Fixed Point Theorem in Cone Metric Type Spaces

A Unique Common Fixed Point Theorem in Cone Metric Type Spaces

... fixed point theorems for contractive ...fixed point theorems and common fixed point theorems for two or more mappings on cone metric spaces, for example [2, 3, 4, 5, 6, 7, 11, 12, 13] ...

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Some Results on Fuzzy Mappings for Rational Expressions

Some Results on Fuzzy Mappings for Rational Expressions

... proved fixed point theorem for fuzzy contraction mappings which is a fuzzy analogue of the fixed point theorem for multi valued mappings of Nadler [15], Vijayraju and Marudai ...

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Fixed Point Theorem and Consequences in D* Metric Spaces

Fixed Point Theorem and Consequences in D* Metric Spaces

... a fixed point theorem for quasi-contractions on D*-metric spaces and obtain certain ...the fixed point theorem for quasi-contractions on metric spaces, proved by ...

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FIXED POINT THEOREM IN MENGER SPACE

FIXED POINT THEOREM IN MENGER SPACE

... of fixed points theory in Menger spaces was due to Sehgal and Bharucha-Reid [9] ...common fixed point theorem for two pairs of weakly compatible mappings in Menger space without appeal to ...

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Application of Fixed Point Theorem and Error Bounds

Application of Fixed Point Theorem and Error Bounds

... The Fixed points have long been used in analysis to solve various kinds of partial differential equa- tions , ordinary differential equations and integral equations [3] .... Fixed point theorems of ...

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Some Generalizations of Jungck's Fixed Point Theorem

Some Generalizations of Jungck's Fixed Point Theorem

... Jungck’s fixed point theorem for commuting mappings by mean of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral ...

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A note on the relationship between the isotone assumption of the Abian Brown fixed point theorem and Abian’s most basic fixed point theorem

A note on the relationship between the isotone assumption of the Abian Brown fixed point theorem and Abian’s most basic fixed point theorem

... in Theorem  that Abian’s theorem relates to the idea of cycles and in Lemma  we have demonstrated that for finite maps acyclicity is implied by the isotone assumption as long each element relates to its ...

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A Generalized Metric Space and Related Fixed Point Theorems

A Generalized Metric Space and Related Fixed Point Theorems

... well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed ...

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Basic inequality on a b metric space and its applications

Basic inequality on a b metric space and its applications

... Motivated by this question, in this paper, we first prove some inequality. Using this in- equality, we improve Lemma . In order to understand deeply the mathematical structure of a b-metric space, we give a condition, ...

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A Suzuki Type Fixed Point Theorem

A Suzuki Type Fixed Point Theorem

... In addition to the above results, Kikkawa and Suzuki 7 provide a Kannan type version of the theorems mentioned before. In 8, it is provided a Chatterjea type version. Popescu 9 gives a Ciric type version. Recently, ...

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