Commuting functions with no common fixed point [PDF]
Transactions of the American Mathematical Society, 1969 Introduction. Let f and g be continuous functions mapping the unit interval I into itself which commute under functional composition, that is, f(g(x))=g(f(V)) for all x in I. In 1954 Eldon Dyer asked whetherf and g must always have a common fixed point, meaning a point z in I for which f(z) =z=g(z). A. L.
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General Common Fixed Point Theorems and Applications [PDF]
Journal of Applied Mathematics, 2012 The main result is a common fixed point theorem for a pair of multivalued maps on a complete metric space extending a recent result of Đorić and Lazović (2011) for a multivalued map on a metric space satisfying Ćirić‐Suzuki‐type‐generalized contraction.
Singh, Shyam Lal +3 more
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Common fixed points and convergence results for α-Krasnosel'skii mappings
AIMS Mathematics, 2023 We present convergence and common fixed point conclusions of the Krasnosel'skii iteration which is one of the iterative methods associated with α-Krasnosel'skii mappings satisfying condition (E).
Amit Gangwar +2 more
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LoCoH: nonparameteric kernel methods for constructing home ranges and utilization distributions. [PDF]
, 2007 Parametric kernel methods currently dominate the literature regarding the construction of animal home ranges (HRs) and utilization distributions (UDs). These methods frequently fail to capture the kinds of hard boundaries common to many natural systems ...
Cross, Paul C +5 more
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Common Fixed Points and Best Approximation
Journal of Approximation Theory, 1996 AbstractWe prove a common fixed-point theorem generalizing results of Dotson and Habiniak. Using this result, we extend, generalize, and unify well known results on fixed points and common fixed points of best approximation.
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Common fixed points for generalized contractive multivalued operators in complete metric spaces [PDF]
, 2009 In this paper,we discuss some new fixed point theorems for a pair of multivalued operators which satisfy generalized contractive condition. Our results are the extension and improvement of corresponding results of single-valued operators.
Hong, Shihuang, Shen, Minjian
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Common fixed point theorems for compatible mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 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.
Taş, K., Telci, M., Fisher, Brian
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A note on strong convergence to common fixed points of nonexpansive mappings in Hilbert spaces [PDF]
, 2009 The aim of this paper is to investigate the links between ${\cal T}_C$-class algorithms, CQ Algorithm and shrinking projection methods. We show that strong convergence of these algorithms are related to coherent ${\cal T}_C$-class sequences of mapping ...
Chancelier, Jean-Philippe
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On unification of the strong convergence theorems for a finite family of total asymptotically nonexpansive mappings in Banach spaces [PDF]
, 2011 In this paper, we unify all know iterative methods by introducing a new explicit iterative scheme for approximation of common fixed points of finite families of total asymptotically $I$-nonexpansive mappings.
Mukhamedov, Farrukh, Saburov, Mansoor
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A Common Coincidence of Fixed Point for Generalized Caristi Fixed Point Theorem
Journal of Mathematical Analysis and Modeling, 2021 In this paper, the interpolative Caristi type weakly compatible contractive in a complete metric space is applied to show some common fixed points results related to such mappings. Our application shows that the function which is used to prove the obtained results is a bounded map. An example is provided to show the useability of the acquired results.
Jayashree Patil +2 more
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