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A Suzuki Type Fixed-Point Theorem [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We present a fixed-point theorem for a single-valued map in a complete metric space using implicit relation, which is a generalization of several previously stated results including that of Suziki (2008).
Ishak Altun, Ali Erduran
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On Krasnoselskii's Cone Fixed Point Theorem
Fixed Point Theory and Applications, 2008 In recent years, the Krasnoselskii fixed point theorem for cone maps and its many generalizations have been successfully applied to establish the existence of multiple solutions in the study of boundary value problems of various types.
Kwong ManKam
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On a Fixed Point Theorem of Kirk [PDF]
Proceedings of the American Mathematical Society, 1995 Let X be a reflexive Banach space, D an open and bounded subset of X , and T
Morales, Claudio H. +1 more
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New Applications of Perov’s Fixed Point Theorem
Mathematics, 2022 The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are
Sorin Mureşan +2 more
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Caristi’s Fixed Point Theorem and Subrahmanyam’s Fixed Point Theorem in ν-Generalized Metric Spaces
Journal of Function Spaces, 2015 We discuss the completeness of ν-generalized metric spaces in the sense of Branciari. We also prove generalizations of Subrahmanyam’s and Caristi’s fixed point theorem.
Badriah Alamri +2 more
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Generalization of Rakotch's fixed Point Theorem
Revista de Matemática: Teoría y Aplicaciones, 2011 In this paper we get some generalizations of Rakotch's results [10] using the notion of $\omega ?distancia$ on a metric ...
José R. Morales
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A fixed point theorem revisited [PDF]
Proceedings of the American Mathematical Society, 1988 A version of a theorem commonly referred to as Caristi’s Theorem is given. It has an elementary constructive proof and it includes many generalizations of Banach’s fixed point theorem. Several examples illustrate the diversity that can occur.
Bollenbacher, Alberta, Hicks, T. L.
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An Extension of Gregus Fixed Point Theorem
Fixed Point Theory and Applications, 2007 Let C be a closed convex subset of a complete metrizable topological vector space (X,d) and T:C→C a mapping that satisfies d(Tx,Ty)≤ad(x,y)+bd(x,Tx)+cd(y,Ty)+ed(y,Tx)+fd(x,Ty) for all x,y∈C, where ...
J. O. Olaleru, H. Akewe
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Duan's fixed point theorem: proof and generalization
Fixed Point Theory and Applications, 2006 Let X be an H-space of the homotopy type of a connected, finite CW-complex, f:X→X any map and p k :X→X the k th power map. Duan proved that p k f :X→X has a fixed point if k≥2 .
Martin Arkowitz
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Polynomial Analogue of Gandy’s Fixed Point Theorem
Mathematics, 2021 The paper suggests a general method for proving the fact whether a certain set is p-computable or not. The method is based on a polynomial analogue of the classical Gandy’s fixed point theorem.
Sergey Goncharov, Andrey Nechesov
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