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1
Content available remote Coupled fixed point theorem in b-fuzzy metric spaces
100%
Došenović T. , Hassanzadeh Z. , Sedghi S.
Fasciculi Mathematici
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2018
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tom Nr 61
27--41
EN
The aim of this paper is to prove a coupled coincidence fixed point theorem in complete b-fuzzy metric space using the concept of mixed monotone mappings, which represents a generalization of some recent results.
2
Content available remote Fixed Point Results Satisfying Rational Type Contractive Conditions in Complex Valued Metric Spaces – Revisited
88%
Zada M. B. , Sarwar M.
Annales Mathematicae Silesianae
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2017
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tom 31
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nr 1
173-185
EN
In our previous work titled “Fixed Point Results Satisfying Rational type Contractive Conditions in Complex Valued Metric Spaces”[Ann. Math. Sil. 30 (2016), 89-110], some errors has been made in the main results (Theorem 3.1, Theorem 3.7 and Theorem 3.22), that may misguide the readers. This note provides corrections of these errors.
3
Content available remote Fixed Point Results Satisfying Rational Type Contractive Conditions in Complex Valued Metric Spaces
88%
Kumam P. , Sarwar M. , Zada M. B.
Annales Mathematicae Silesianae
|
2016
|
tom 30
|
nr 1
89-110
EN
The aim of this manuscript is to establish fixed point results satisfying contractive conditions of rational type in the setting of complex valued metric spaces. The derived results generalize and extend some well known results in the existing literature.
4
Content available remote Fuzzy fixed point results with rational type contractions in partially ordered complex-valued metric spaces
75%
Sarwar M. , Humaira H. , Huang H.
Commentationes Mathematicae
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2018
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tom Vol. 58, No. 1/2
57--78
EN
In this manuscript, some fixed point results for fuzzy mappings with rational type contraction in the context of a complete partially ordered complex-valued metric space are established. The derived results generalize some fixed point theorems in the existing literature. An appropriate example is given.
5
Content available Fuzzy fixed point results with rational type contractions in partially ordered complex-valued metric spaces
75%
Sarwar M. , Humaira H. , Huang H.
Commentationes Mathematicae
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2018
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tom 58
|
nr 1-2
EN
In this manuscript, some fixed point results for fuzzy mappings with rational type contraction in the context of a complete partially ordered complex-valued metric space are established. The derived results generalize some fixed point theorems in the existing literature. An appropriate example is given.
6
Content available remote Fixed point theorems on generalized metric spaces for mappings in a class of almost φ-contractions
63%
Kikina L. , Kikina K.
Demonstratio Mathematica
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2015
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tom Vol. 48, nr 3
440--451
EN
In this paper, we obtain some new fixed point theorems in generalized metric spaces for maps satisfying an implicit relation. The obtained results unify, generalize, enrich, complement and extend a multitude of related fixed point theorems from metric spaces to generalized metric spaces.
7
Content available remote A fixed point theorem in generalized metric spaces
63%
Kikina L. , Kikina K.
Demonstratio Mathematica
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2013
|
tom Vol. 46, nr 1
181--190
EN
A generalized metric space has been defined by Branciari as a metric space in which the triangle inequality is replaced by a more general inequality. Subsequently, some classical metric fixed point theorems have been transferred to such a space. In this paper, we continue in this direction and prove a version of Fisher’s fixed point theorem in generalized metric spaces.
8
Content available remote P-cyclic c-contraction result in Menger spaces using a control function
63%
Choudhury B. S. , Bhandari S. K.
Demonstratio Mathematica
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2016
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tom Vol. 49, nr 2
213--223
EN
The intrinsic flexibility of probabilistic metric spaces makes it possible to extend the idea of contraction mapping in several inequivalent ways, one of which being the C-contraction. Cyclic contractions are another type of contractions used extensively in global optimization problems. We introduced here p-cyclic contractions which are probabilistic C-contraction types. It involves p numbers of subsets of the spaces and involves two control functions for its definitions. We show that such contractions have fixed points in a complete probabilistic metric space. The main result is supported with an example and extends several existing results.
9
Content available remote Representations of reals in reverse mathematics
51%
Hirst J. L.
Bulletin of the Polish Academy of Sciences. Mathematics
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2007
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tom Vol. 55, no 4
303-316
EN
Working in the framework of reverse mathematics, we consider representations of reals as rapidly converging Cauchy sequences, decimal expansions, and two sorts of Dedekind cuts. Converting single reals from one representation to another can always be carried out in RCA[sub]0. However, the conversion process is not always uniform. Converting infinite sequences of reals in some representations to other representations requires the use of WKU[sub]0 or ACA[sub]0.
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