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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.
openaire +2 more sources
General Common Fixed Point Theorems and Applications
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.
Shyam Lal Singh +3 more
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Common Fixed-Point and Fixed-Circle Results for a Class of Discontinuous F-Contractive Mappings
Mathematics, 2022 The exploration of contractive inequalities which do not imply the continuity of the mapping at fixed points was an interesting open problem for quite some time.
Pradip Debnath
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Demonstratio Mathematica, 2019 We consider a new subgradient extragradient iterative algorithm with inertial extrapolation for approximating a common solution of variational inequality problems and fixed point problems of a multivalued demicontractive mapping in a real Hilbert space ...
L. Jolaoso +3 more
semanticscholar +1 more source
Common fixed point theorems in Menger spaces
International Journal of Mathematics and Mathematical Sciences, 2006 We proved two common fixed point theorems for four self-mappings and two set-valued mappings with φ-contractive condition in a Menger space.
Chi-Ming Chen, Tong-Huei Chang
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Fixed Point and Common Fixed Point Theorems for α-Property in Cone Ball-Metric Spaces
International Journal of Analysis and Applications, 2013 In this paper, we define a new cone ball-metric and get fixed points and common fixed points for the α- property in cone ball-metric spaces.
Rajesh Shrivastava +3 more
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F-Metric, F-Contraction and Common Fixed-Point Theorems with Applications
Mathematics, 2019 In this paper, we noticed that the existence of fixed points of F-contractions, in F -metric space, can be ensured without the third condition (F3) imposed on the Wardowski function F : ( 0 , ∞ ) → R . We obtain fixed points as well as common fixed-point
A. Asif +3 more
semanticscholar +1 more source
Infection Models for Pine Wilt Disease on the Basis of Vector Behaviors
Population Ecology, EarlyView.Infection models for pine wilt disease without vector density were built to estimate the transmission coefficient of the pathogenic nematode. The models successfully simulated the annual change in the density of infected trees for four pine stands. ABSTRACT Pine wilt disease is caused by the pinewood nematode (Bursaphelenchus xylophilus Steiner et ...
Katsumi Togashi
wiley +1 more source
Generalized Common Fixed Point Results with Applications
Abstract and Applied Analysis, 2014 We obtained some generalized common fixed point results in the context of complex valued metric spaces. Moreover, we proved an existence theorem for the common solution for two Urysohn integral equations. Examples are presented to support our results.
Marwan Amin Kutbi +3 more
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AIMS Mathematics, 2023 In this article, we use the concept of proximity spaces to prove common fixed point results for mappings satisfying generalized ($ \psi $, $ \beta $)-Geraghty contraction type mapping in partially ordered proximity spaces.
Demet Binbaşıoǧlu
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