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Compatible maps and invariant approximations
Journal of Mathematical Analysis and Applications, 2007 The authors prove existence theorems for invariant best approximation of compatible maps which are based on common fixed point theorems for noncommuting maps. The basic result can be described as follows: Let \(M\) be a nonempty subset in a metric space \((X,d)\) and \(f,g:M\to M\) maps such that \(gf(x)=fg(x)\) whenever \(f(x)=g(x)\).
Jungck, G., Hussain, N.
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Remarks on Occasionally Weakly Compatible Maps Versus Occasionally Weakly Compatible Maps
Demonstratio Mathematica, 2014 Abstract . In this paper, we discuss some important and interesting remarks on the concept of occasionally weakly compatible (owc) mappings, which is an active and interesting area of research in the present era. Also, we discuss here the lapses of several authors in quoting the definition of owc maps and provide the corrected proof by ...
Deepmala, Pathak H. K.
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Compatible and weakly compatible mappings in cone metric spaces
Mathematical and Computer Modelling, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Slobodanka Jankovic +2 more
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Map-compatible decomposition of transport paths
, 2023 In the Monge-Kantorovich transport problem, the transport cost is expressed in terms of transport maps or transport plans, which play crucial roles there. A variant of the Monge-Kantorovich problem is the ramified (branching) transport problem that models branching transport systems via transport paths.
Xia, Qinglan, Sun, Haotian
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Common fixed point theorems for compatible and weakly compatible mappings [PDF]
, 2000 The authors prove a common fixed points theorem for a pair of generalized contraction self-maps and a pair of set-valued mappings on a complete metric space. They are using notions due to \textit{G. Jungck} [Int. J. Math. Math. Sci. 11, No. 2, 285-288 (1988; Zbl 0647.54035)].
Elamrani, M., Mehdaoui, B.
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Occasionally Weakly Compatible Mappings [PDF]
Turkish Journal of Analysis and Number Theory, 2016 In this paper, the concept of compatible maps of type (A) and occasionally weakly compatible maps in fuzzy metric space have been applied to prove common fixed point theorem. A fixed point theorem for six self maps has been established using the concept of compatible maps of type (A) and occasionally weakly compatible maps, which generalizes the result
Amit Kumar Govery, Mamta Singh
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Compatibility of Gauß maps with metrics
Differential Geometry and its Applications, 2010 14 pages, no ...
Eschenburg, Jost-Hinrich +3 more
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Compatible mappings of type $(\beta)$ and weak compatibility in fuzzy metric spaces [PDF]
Mathematica Bohemica, 2009 Summary: The object of this paper is to establish a unique common fixed point theorem for six self-mappings satisfying a generalized contractive condition through compatibility of type \( ( \beta ) \) and weak compatibility in a fuzzy metric space. It significantly generalizes the result of \textit{B. Singh} and \textit{S. Jain} [J. Fuzzy Math. 14, No.~
Jain, Shobha +2 more
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Compatible mappings and common fixed points [PDF]
International Journal of Mathematics and Mathematical Sciences, 1986 A generalization of the commuting mapping concept is introduced. Properties of this “weakened commutativity” are derived and used to obtain results which generalize a theorem by Park and Bae, a theorem by Hadzic, and others.
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COINCIDENCE POINTS OF COMPATIBLE MULTIVALUED MAPPINGS
Demonstratio Mathematica, 1996 Let \(CB(X)\) be the space of nonempty bounded closed subsets of a metric space \((X,d)\) with the Hausdorff metric. Mappings \(T:X\to CB(X)\), \(f:X\to X\) are said to be compatible if, for any sequence \(\{x_n\}\subset X\) satisfying \(\lim_{n\to\infty} fx_n\in \lim_{n\to\infty} Tx_n\) we have \(\lim_{n\to\infty} H(fTx_n,Tfx_n)=0\).
Azam, Akbar, Beg, Ismat
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