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1
Content available remote Fixed point theorems on generalized metric spaces for mappings in a class of almost φ-contractions
Kikina L., Kikina K.
Demonstratio Mathematica
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2015
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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.
2
Content available remote A fixed point theorem in generalized metric spaces
Kikina L., Kikina K.
Demonstratio Mathematica
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2013
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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.
3
Content available remote On homogeneity of the tangency relation of arcs
Konik T.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2010
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Vol. 9, nr 2
115-122
EN
In this paper the problem of the homogeneity of some tangency relation of sets for the rectifiable arcs in the generalized metric spaces is considered. Some sufficient conditions for the homogeneity of this relation are given.
4
Content available remote Additivity of the tangency relation of rectifiable arcs
Konik T.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2009
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Vol. 8, nr 2
87-94
EN
In this paper the problem of the additivity of some tangency relation of sets for the rectifiable arcs in the generalized metric spaces is considered. Some sufficient conditions for the additivity of this relation are given.
5
Content available remote Porosity of certain classes of operators in generalized metric spaces
Das P., Dey L.
Demonstratio Mathematica
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2009
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Vol. 42, nr 1
163-174
EN
We study the porosity behavior of non-contractive mappings in a generalized metric space, a concept recently introduced in [1]. We also investigate partially the porosity position of a certain class of operators whose condition arises from [8].
6
Content available remote About the equivalence of the tangency relation of arcs
Konik T.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2008
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Vol. 7, nr 2
43-49
EN
In this paper the problem of the equivalence of the tangency relation Tl (a, b, k, p) of the rectifiable arcs in the generalized metric spaces is considered. Some sufficient conditions for the equivalence of this relation of the rectifiable arcs have been given here.
7
Content available remote On the comatibility of the tangency relations of rectifiable arcs
Konik T.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2007
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Vol. 6, nr 1
103-108
EN
In this paper the problem of the compatibility of the tangency relations Tli (ai, bi, k, p) (i = 1, 2) of the rectifiable arcs in the generalized metric spaces is considered. Some sufficient conditions for the compatibility of these relations of the rectifiable arcs have been given here.
8
Content available remote On the tangency of the rectifiable arcs
Konik T.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2006
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Vol. 5, nr 1
32-39
EN
In this paper some problems of the tangency of the rectifiable arcs in generalized metric spaces (E, l) are considered. Some sufficient and necessary conditions for the tangency of these arcs have been given here.
9
Content available remote The sets of certain classes in generalized metric spaces
Konik T.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2004
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Vol. 3, nr 1
53--60
EN
In this paper some property of sets of certain classes in the generalized metric spaces are considered. In last section of this paper an example of a certain set of these classes in two-dimensional Euklidean space will be given.
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