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1
Content available remote A generalized common fixed point theorem under an implicit relation
Surekha D., Phaneendra T.
Demonstratio Mathematica
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2015
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Vol. 48, nr 1
91--99
EN
An extended generalization of recent result of Kikina and Kikina (2011) has been established through the notions of weak compatibility and the property E.A., under an implicit-type relation and restricted orbital completeness of the space. The result of this paper also extends and generalizes that of Imdad and Ali (2007).
2
Content available remote Common fixed points for weakly compatible mappings satisfying A-contractive conditions of integral type
Akinbo G
Fasciculi Mathematici
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2012
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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.
3
Content available remote The convergence of Jungck-type iterative schemes for generalized contractive-like operators
Olaleru J. O., Akewe H.
Fasciculi Mathematici
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2010
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Nr 45
87-98
EN
We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fixed point of a pair of weakly compatible generalized contractive-like opera- tors defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa and Jungck-Noor itera- tions can also be used to approximate the common fixed points of such maps. The results are improvements, generalizations and extensions of the work of Olatinwo and Imoru [13], Olatinwo [14-15]. Consequently, several results in literature are generalized.
4
Content available remote Common fixed point theorems for compatible maps of type (P) and kind of weakly commuting maps
Khan M. S., Samanipour M., Murthy P. P.
Fasciculi Mathematici
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2010
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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].
5
Content available remote A note on Jungck's fixed point theorem
Kumar S.
Fasciculi Mathematici
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2010
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Nr 45
59-69
EN
This paper is twofold. First we prove a common fixed point theorem for a pair of weakly compatible mappings along with E.A. property. This theorem improves and generalizes a result of Jungck [5] without any continuity requirement besides relaxing the containment of the range of one map into the range of other map. Moreover, we prove some results under different variants of R-weakly commuting mappings.
6
Content available remote Fixed points for set and single valued maps without continuity
Djoudi A., Khemis R.
Demonstratio Mathematica
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2005
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Vol. 38, nr 3
739-751
EN
In this paper we prove some common fixed point theorems for single valued and set valued mappings on a metric space. The theorems use minimal type commutativity and strict contractivity conditions with no continuity requirements. The theorems extend previous results on delta-compatible and continuous maps of [1] and [11] to a wider class of weakly compatible mappings not necessarly continuous. Also, a common fixed point theorem which applies to a sequence of set valued mappings is given.
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