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  1. 24 Demonstratio Mathematica
  2. 17 Fasciculi Mathematici
  3. 8 Commentationes Mathematicae
  4. 2 Journal of Applied Analysis
  5. 2 Opuscula Mathematica
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  1. 1 2020
  2. 2 2018
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  1. 7 Deshpande B.
  2. 5 Sharma S.
  3. 4 Saluja G. S.
  4. 3 Kozlowski W. M.
  5. 3 O'Regan D.
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1
Content available remote Common fixed points of mappings not satisfying contractive condition
100%
Pant V. , Padaliya S. , Pant R. P.
Fasciculi Mathematici
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2008
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tom Nr 40
71-77
EN
The aim of this paper is to consider a new approach for obtaining common fixed point theorems in metric spaces by subjecting the triangle inequality to a Lipschitz type condition. For values of the Lipschitz constant k < 1/3 the condition reduces to a Banach type contractive condition and we get the results known so far. However, values of k ≥ 1/3 yield new result. It may be observed that in the setting of metric spaces k ≥ 1/3 generally does not ensure the existence of fixed points and there is no known method for dealing these cases. In Theorem 1 and Theorem 2 we provide results under a new condition. In the last section of this paper (Theorem 3 and Theorem 4) by using the (E.A) property introduced by Aamri and Moutawakil [2] we extend the results obtained in Theorem 1 and Theorem 2.
2
Content available remote Common fixed points for expansion mappings in generalized metric spaces
100%
Singh B. , Sharma R. K.
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2003
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tom Vol. 36, nr 1
215--220
EN
The purpose of this paper is to obtain some common fixed point theorems for expansion mappings in recently developed space. D-metric space. Our results generalize several corresponding results in metric spaces.
3
Content available remote Common fixed theory in uniform spaces
100%
Agarwal R. P. , Dshalalow J. H. , O'Regan D.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2003
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tom [Z] 43(2)
129-147
EN
This paper investigates under what conditions two operators defined on complete gauge spaces have a common fixed point.
4
Content available remote Common best proximity points for proximally F–dominated mappings
100%
Batra R.
Fasciculi Mathematici
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2020
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tom nr 63
23--37
EN
The principal aim of this work is to formulate an extension and improvement of the common best proximity point theorem for a pair of non-self mappings, one of which is dominated by the other as proved by Basha. The proposed extension discusses a common best proximity point theorem for a pair of non-self mappings, one of which is F-dominated by the other proximally, for a function F as defined by Wardowski.
5
Content available remote Fixed point theorems for noncompatible, discontinuous hybrid pairs of mappings on 2-metric spaces
100%
Deshpande B. , Pathak R.
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2012
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tom Vol. 45, nr 1
143-154
EN
In this paper, we prove some fixed point theorems for two hybrid pairs of mappings in 2-metric spaces by using some weaker conditions.
6
Content available remote Some fixed point theorems using wt-distance in b-metric spaces
100%
Mohanta S. K.
Fasciculi Mathematici
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2015
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tom Nr 54
125--140
EN
Some fixed point theorems using wt-distance in b-metric spaces In this paper we establish some common fixed point theorems by using the concept of wt-distance in a b-metric space. Our results extend and generalize several well known comparable results in the existing literature. Finally, some examples are provided to illustrate our results.
7
Content available remote Common of fixed point of multivalued mappings without continuity
100%
Kubiaczyk I. , Deshpande B.
Fasciculi Mathematici
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2007
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tom Nr 37
19-26
EN
In this paper, we prove a common fixed point theorem for single-valued and multivalued mappings on a metric space using the minimal type commutativity condition. We show that continuity of any mapping is not necessary for the existence of a common fixed point.
8
Content available remote Common fixed point theorems for compatible maps of type (P) and kind of weakly commuting maps
100%
Khan M. S. , Samanipour M. , Murthy P. P.
Fasciculi Mathematici
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2010
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tom Nr 43
53-67
EN
In this article, the existence of a unique common fixed point of two families of compatible maps of type (P) on a complete metric space and a common fixed point theorem for four mappings on a metric space are proved. These theorems are an improvement over the theorems generalizes Banach Fixed Point Theorems [1], Kannan Fixed Point Theorem [12], Edelstein Fixed Point Theorem [6], Boyd and Wong's Fixed Point Theorem [2], Ćirić's Fixed Point Theorems [3], Das and Naik's [5].
9
Content available remote Semi-compatibility in non-archimedean Menger PM-space
100%
Singh B. , Jain I. , Agarwal P.
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tom Vol. 49, [Z] 1
15-25
EN
The object of this paper is to establish xed point theorem for six self maps and an example using the concept of semi-compatible self maps in a non-Archimedean Menger PM-space. Our result generalizes the result of Cho et. al. [2].
10
Content available remote Convergence of implicit iterative process for a finite family of I-nonexpansive mappings
100%
Temir S. , Aykanat G.
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2009
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tom Vol. 42, nr 1
175-184
EN
We prove that an implicit iterative process conyerges weakly and strongly to a common fixed point of a finite family of I-nonexpansive mappings in a Banach space. The results presented in this paper extend and improve the corresponding results of [1, 3, 11, 12]
11
Content available Convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces
100%
Saluja G. S. , Nashine H. K.
Opuscula Mathematica
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2010
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tom Vol. 30, no. 3
331-340
EN
In this paper, we give some necessary and sufficient conditions for an implicit iteration process with errors for a finite family of asymptotically quasi-nonexpansive mappings converging to a common fixed of the mappings in convex metric spaces. Our results extend and improve some recent results of Sun, Wittmann, Xu and Ori, and Zhou and Chang.
12
Content available remote Common fixed points for weakly compatible mappings satisfying A-contractive conditions of integral type
100%
Akinbo G.
Fasciculi Mathematici
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2012
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tom Nr 48
5--12
EN
In this paper, we establish the existence of coincidence and unique common fixed points of two pairs of weakly compatible maps satisfying A-contractive condition of integral type.
13
Content available remote Common fixed points of compatible maps of type (beta) on fuzzy metric spaces
100%
Sharma S. , Deshpande B.
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2002
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tom Vol. 35, nr 1
165-174
EN
In this paper, we prove a common fixed point theorem for six mappings under the condition of compatible mappings of type (beta) on fuzzy metric spaces. We extend, generalize and fuzzify several fixed point theorems on metric spaces, Menger probabilistic metric spaces, uniform spaces and fuzzy metric spaces.
14
Content available remote Common fixed point theorems in intuitionistic fuzzy metric space using general contractive condition of integral type
100%
Sharma S. , Tilwankar P.
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tom Nr 47
95--115
EN
The aim of this paper is to prove some common fixed point theorems for six discontinuous mappings in non complete intuitionistic fuzzy metric spaces using contractive condition of integral type.
15
Content available remote Fixed point theory on spaces with vetor b-metrices
100%
Boriceanu M.
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2009
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tom Vol. 42, nr 4
825-835
EN
The purpose of this paper is to present some fixed point results for generalized singlevalued and multivalued contractions on a set endowed with one or two vector-valued b-metrics.
16
Content available remote Common fixed point theorems for hybrid pairs of mappings with some weaker conditions in 2-metric spaces
100%
Deshpande B. , Chouhan S.
Fasciculi Mathematici
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2011
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tom Nr 46
37--55
EN
In this paper, we prove common xed point theorems for hybrid pairs of mappings satisfying an implicit relation in 2-metric spaces by using a new commutativity condition i.e. weak commutativity of type (KB). We also prove common xed point theorem, of Gregus type for hybrid pairs of maps by using weak commutativity of type (KB) in 2-metric spaces. We extend, improve and generalize many known results. We also give examples to validate our results.
17
Content available remote Strong convergence theorems of one-step iterative scheme for a countable family of multivalued mappings in a Banach space
100%
Bunyawat A. , Suantai S.
Fasciculi Mathematici
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2014
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tom Nr 53
31--38
EN
In this paper, we introduce a new one-step iterative scheme for finding a common fixed point of a countable family of multivalued mappings in a real uniformly convex Banach space. By using the best approximation operators, a necessary and sufficient condition for strong convergence of the proposed method is given. Moreover, we establish some strong convergence theorems of the proposed iterative scheme under some control conditions
18
Content available remote Convergence theorems of a family of uniformly (L, (alfa))-Lipschitz asymptotically quasi-nonexpansive type mappings
88%
Saluja G. S.
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2010
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tom Vol. 43, nr 4
877-886
EN
In this paper, we study the convergence of the Ishikawa iterative sequence of rank-r to common fixed points of a finite family of asymptotically quasi-nonexpansive type mappings in uniformly convex Banach spaces. Our results extend and improve some known recent results given in the literature
19
Content available remote Common fixed point theorems for variants of R-weakly commuting mappings in topologically complete tychonoff (uniform) spaces
88%
Kohli J. K. , Kumar D.
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2012
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tom Vol. 45, nr 1
169-178
EN
Three variants of R-weakly commuting mappings in the realm of uniform spaces are defined. Examples are included to reflect upon the distinctiveness of the notions so defined. Common fixed point theorems concerning these variants of R-weakly commuting mappings in the framework of uniform spaces are obtained. This generalizes several known results in the literature including those of Granas and Dugundji [3], Tarafdar [12] and others. Moreover, as a bi-product we obtain several common fixed point theorems which are well in contrast with a common fixed point theorem of Jungck [4] who proved the same for commuting mappings.
20
Content available remote Coincidence and common fixed point theorems for hybrid contractions in symmetric spaces
88%
Vijaywar Y. K. , Bawa N. P. S. , Shrivastava P. K.
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2012
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tom Vol. 45, nr 3
611-620
EN
Using compatibility of type (N) and (E-A) property of hybrid pair of mappings we obtain some new coincidence and common fixed point theorems under strict contractive conditions in symmetric (semi-metric) space.
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