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1
Content available remote Implicit functions under fixed point consideration in Probabilistic Menger Spaces
Murthy P. P., Prasad K. N. V. V. V., Majumdar J.
Fasciculi Mathematici
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2020
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nr 63
45--61
EN
In the present paper, we have introduced a pair of weakly-biased maps in the Probabilistic Menger Spaces under the implicit relation. Our results proved herein is the partial extension and mild improvement of the results due to Imdad, Tanveer and Hasan [10]. We have discussed an example in support of our main theorem.
2
Content available remote The N-fuzzy metric spaces and mappings with application
Malviya N.
Fasciculi Mathematici
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2015
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Nr 55
133--151
EN
In the present paper, we introduce the notion of N-fuzzy metric spaces (NFMSs), Pseudo N-fuzzy metric spaces and describe some of their properties. Also we prove a fixed point theorem using implicit relation in N-fuzzy metric spaces.
3
Content available remote Coincidence and fixed point for weakly reciprocally continuous single-valued and multi-valued maps
Gairola A., Singh J., Joshi M. C.
Demonstratio Mathematica
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2014
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Vol. 47, nr 3
704--713
EN
In the present paper, we extend the concept of Weak Reciprocal Continuity for a hybrid pair of single-valued and multi-valued maps and introduce (T, f)-completeness of the space. Further, we establish some results on the existence of coincidence and fixed points for the hybrid pair of maps. Our results generalize several well known results available in the literature.
4
Content available remote Conditional reciprocal continuity and common fixed points
Singh J., Bisht R K, Joshi M C
Fasciculi Mathematici
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2013
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Nr 51
149--158
EN
The aim of the present paper is to obtain common fixed point theorems by employing the recently introduced notion of conditional reciprocal continuity. We demonstrate that conditional reciprocal continuity ensures the existence of fixed points under contractive conditions which otherwise do not ensure the existence of fixed points. Our results generalize and extend several well-known fixed point theorems in the setting of metric spaces. We also provide more answers to the open problem posed by B. E. Rhoades [Contractive Definitions and Continuity, Contemporary Math. 72 (1988), 233-245] regarding existence of a contractive condition which is strong enough to generate a fixed point, but which does not force the map to be continuous at the fixed point.
5
Content available remote Fixed point theorems for noncompatible, discontinuous hybrid pairs of mappings on 2-metric spaces
Deshpande B., Pathak R.
Demonstratio Mathematica
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2012
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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 Fixed point theorem in 2 non-archimedean Menger PM-Space using weakly L-compatible and weakly M-compatible mappings
Gupta V. K., Jain A., Kushwah J.
Commentationes Mathematicae
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2011
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Vol. 51, [Z] 2
177-187
EN
In the present paper, we extend and generalize the result of Cho et. al. [l]by introducing the notion of weakly L-compatible and weakly M-compatible maps in a 2 non-Archimedean Menger PM-space.
7
Content available remote (ε, δ) contractive condition and common fixed points
Pant V., Jha K.
Fasciculi Mathematici
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2009
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Nr 42
73-84
EN
In the present paper we prove a common fixed point theorem (Theorem 1) for four mappings under the (ε, δ) contractive condition, however, without either imposing any additional restriction on δ or assuming the ∅-contractive condition together with. While proving the theorem, neither the completeness of the metric space is assumed nor any of the mappings is required to be continuous. Thus we also provide one more answer to the problem of Rhoades [24] which ensures the existence of common fixed point, however, does not force the maps to be continuous at the common fixed point. Theorem 2 generalizes further the result obtained in Theorem 1.
8
Content available remote A common fixed point theorem in non-Archimedean Menger pm-spaces
Kutukcu S., Sharma S.
Demonstratio Mathematica
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2009
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Vol. 42, nr 4
837-849
EN
In the present work, we introduce two types of compatible maps in non-Archimedean Menger PM-spaces and obtain a common fixed point theorem for six maps.
9
Content available remote Noncommuting maps and invariant approximations
Hussain N., Latif A., Al-Mezel S.
Demonstratio Mathematica
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2007
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Vol. 40, nr 4
895-905
EN
We obtain common fixed point results for generalized I-nonexpansive compatible as well as weakly compatible maps. As applications, various best approximation results for this class of maps are derived in the setup of certain metrizable topological vector spaces.
10
Content available remote Compatible maps and compatible maps of types (alpha) and (beta) in instutionstic fuzzy metric spaces
Turkoglu D., Alaca C., Yildiz C.
Demonstratio Mathematica
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2006
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Vol. 39, nr 3
671-684
EN
In this paper, we first formulate the definition of compatible maps and compatible maps of types (alpha) and (beta) in intuitionistic fuzzy metric spaces and give some relations between the concepts of compatible maps and compatible maps of types (alpha) and (beta).
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