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1
Content available remote A general fixed point theorem for weakly subsequentially continuous mappings
Popa Valeriu
Fasciculi Mathematici
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2019
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nr 62
103--119
EN
In this paper a general fixed point theorem for two pairs of subsequentially mappings compatible of type E is proved, which generalize the results by [2]-[4], [6] and other results. As applications, new results for mappings satisfying contractive conditions of integral type, φ-contractive conditions and weak contractive conditions are obtained.
2
Content available remote A general fixed point theorem for hybrid pairs of mappings satisfying a new type of limit range property
Popa V., Patriciu A.-M.
Fasciculi Mathematici
|
2018
|
Nr 61
143--162
EN
In this paper a new type of common limit range property is introduced, which generalizes the notion of strongly tangential property [9] and joint common limit range property [16]. A general fixed point theorem for two pairs of hybrid mappings involving altering distance and satisfying an implicit relation is proved, generalizing the results from [9], [16] and other papers. As application, we obtain new results for contractive mappings satisfying a contractive condition of integral type, for mappings satisfying ф - contractive conditions and satisfying (ψ, ф) - contractive conditions.
3
Content available remote A general coincidence and fixed point theorem for hybrid pairs of mappings satisfying a common coincidence range property
Popa V., Patriciu A.-M.
Fasciculi Mathematici
|
2017
|
Nr 58
145--154
EN
In this paper the notion of common coincidence range property is introduced and a general coincidence and fixed point theorem is proved. As applications, new results for mappings satisfying a contractive condition of integral type and for mappings satisfying a φ-contractive condition are obtained.
4
Content available remote A general fixed point theorem for a pair of multi-valued mappings in partial metric spaces
Popa V.
Fasciculi Mathematici
|
2016
|
Nr 56
129--141
EN
The purpose of this paper is to prove a general fixed point theorem for a pair of multi-valued mappings satisfying a new type of implicit relation in partial metric spaces, which generalizes Theorem 2.2 [4], Theorem 3.1 [3], Theorem 3.2 [7], Corollary 2.3 [4], Theorem 2.8 [16] and obtain other particular results.
5
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.
6
Content available remote A general coincidence and common fixed point theorem for two hybrid pairs of mappings
Popa V.
Demonstratio Mathematica
|
2014
|
Vol. 47, nr 4
971--978
EN
In this paper, a general coincidence and common fixed points theorem for two hybrid pairs of mappings satisfying property (E.A) is proved, generalizing the main results from [3] and [9].
7
Content available remote A fixed point theorem in generalized metric spaces
Kikina L., Kikina K.
Demonstratio Mathematica
|
2013
|
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 Altering distances, fixed point for occasionally hybrid mappings and applications
Popa V., Patriciu A M
Fasciculi Mathematici
|
2012
|
Nr 49
101--112
EN
The purpose of this paper is to prove a general fixed point theorem by altering distance for two pairs of hybrid occasionally weakly compatible mappings and to reduce the study of fixed points of pairs of mappings satisfying a contractive condition of integral type at the study of fixed point in symmetric spaces by altering distance satisfying an implicit relation.
9
Content available remote A Common Fixed Point Theorem for Set-valued Contraction Mappings in Menger Space
Pant B. D., Chauhan S., Kumar S.
Commentationes Mathematicae
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2012
|
Vol. 52, [Z] 1
61-71
EN
The aim of this paper is to prove a common fixed point theorem for even number of single-valued and two set-valued mappings in complete Menger space using implicit relation. Our result improves and extends the result of Chen and Chang [Common fixed point theorems in Menger spaces, Int. J. Math. Math. Sci. 2006, Art. ID 75931, 15 pp].
10
Content available remote A common fixed point theorem for two multifunctions defined on closed ball
Popa V.
Fasciculi Mathematici
|
2008
|
Nr 39
63-69
EN
We prove a common fixed point theorem for two mul-tifunctions defined on a closed ball of a complete metric space with values in the set of all nonempty and closed subsets of this space, multifunctions which satisfy an implicit contractive relation of Latif-Beg type.
11
Content available remote On Frigon-Granas type multifunctions satisfying an implicit relation
Popa V.
Demonstratio Mathematica
|
2007
|
Vol. 40, nr 4
907-912
EN
The purpose of this paper is to prove two general fixed point theorems for two multifunctions T1,T2 : B(xo,r) - > Pcl(X) satisfying an implicit relation, which generalize Theorem 3.1 [2], Theorem 3.1 [3], Theorem 3.1 [1] and Theorem 3.1 [6]. In the last part we extend the results for a sequence of multifunctions.
12
Content available remote Coincidence point for noncompatible multivalued maps satisfying implicit relation
Kubiaczyk I., Deshpande B.
Demonstratio Mathematica
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2006
|
Vol. 39, nr 4
855-862
EN
In this paper we prove a common coincidence point theorem for single- valued and multivalued mappings satisfying an implicit relation under the condition of R-weak commutativity on metric spaces.
13
Content available remote A general coincidence theorem for compatible multivalued mappings satisfying an implicit relation
Popa V.
Demonstratio Mathematica
|
2000
|
Vol. 33, nr 1
159-164
14
Content available remote Some fixed point theorems for compatible mappings satisfying an implicit relation
Popa V.
Demonstratio Mathematica
|
1999
|
Vol. 32, nr 1
157-163
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