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Common fixed point theorems and applications [PDF]
The purpose of this paper is to discuss the existence of common fixed points for mappings in general quasi-metric spaces. As applications, some common fixed point theorems for mappings in probabilistic quasi-metric spaces are given. The results presented
Hemant Kumar Pathak+3 more
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Common fixed point theorems for compatible mappings [PDF]
By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Kenan Taş+2 more
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The following interesting theorem, extending several earlier known results, is proved. Let S and T be commuting self-maps of the complete metric space (X,d) satisfying the inequality \[ d(Sx,Ty)\leq c \max \{d(x,y),d(x,Sx),d(y,Ty),d(x,Ty),d(y,Sx\quad)\} \] for all x,y\(\in X\), where ...
B. Fisher
semanticscholar +3 more sources
On common fixed point in uniformizable spaces
Not available.
Olga Hadžić
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Results on common fixed points [PDF]
We establish common fixed point theorems related with families of self mappings on metric spaces. Our results extend, improve, and unify the results due to Fisher (1977, 1978, 1979, 1981, 1984), Jungck (1988), and Ohta and Nikaido (1994).
Zeqing Liu, Jeong Sheok Ume
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On common fixed point theorems [PDF]
The aim of this paper is to extend a recent result of S.A. Husain and V.M. Sehgal [Bull. Austral. Math. Soc. 13 (1975), 261–267]. The condition that the function should be continuous in Husain and Sehgal, op. cit., is replaced by a semicontinuity condition.
B.A. Meade, Surya Prakash Singh
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On Characterizations of Fixed and Common Fixed Points
The authors introduce the concept of \(L\)-mapping which is equivalent to the concept of \(C\)-mapping introduced by \textit{S. Zhang} [Proc. Am. Math. Soc. 97, 343-346 (1986; Zbl 0593.54045)] and establish criteria for the existence of fixed points of \(L\)-mappings.
Yeol Je Cho, Yuguang Xu, Zeqing Liu
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Common Fixed Points of Commuting Mappings [PDF]
Let X X be a dendroid and S S an abelian semigroup of continuous monotone self-mappings of X X . A point x ϵ X x\epsilon X is fixed under S S if g ( x ) = x g(x) = x for all
William J. Gray, Carol M. Smith
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An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions
In the present work, we establish fixed-point results for a pair of mappings satisfying some contractive conditions on rational expressions with coefficients as point-dependent control functions in the setting of tricomplex-valued metric spaces.
Rajagopalan Ramaswamy+4 more
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Common Fixed Point Results on Complex-Valued $S$-Metric Spaces [PDF]
Banach's contraction principle has been improved and extensively studied on several generalized metric spaces. Recently, complex-valued $S$-metric spaces have been introduced and studied for this purpose.
Nihal Taş, Nihal Yilmaz Ozgur
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