Results 21 to 30 of about 840,116 (317)
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.
T. L. Hicks, Alberta Bollenbacher
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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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A fixed point theorem and attractors [PDF]
Proceedings of the American Mathematical Society, 1978 We investigate attractors for compact sets by considering a certain quotient space. The following theorem is included. Let f : G → G f:G \to G , G a closed convex subset of a Banach space, f a mapping satisfying (i) there exists M ⊂ G M \subset G which is an ...
J. L. Solomon, Ludvik Janos
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Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem
Nonlinear Analysis, 2017 An existence theorem for Volterra-type integral inclusion is establish in b-metric spaces. We first introduce two new F-contractions of Hardy–Rogers type and then establish fixed point theorems for these contractions in the setting of b-metric spaces ...
Muhammad Usman Ali +2 more
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New Results and Generalizations for Approximate Fixed Point Property and Their Applications
Abstract and Applied Analysis, 2014 We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions and α-admissible multivalued maps. As applications of our results, some new fixed point
Wei-Shih Du, Farshid Khojasteh
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Fixed Point Theorems in Neutrosophic Fuzzy Metric Space and a Characterization to its Completeness [PDF]
Neutrosophic Sets and SystemsThe present research work aims to establish some basic conventional fixed point theorems such as the Banach fixed point theorem, Edelstein fixed point theorem and Kannan fixed point theorem, for a recently introduced topological space, known as the ...
Samriddhi Ghosh +3 more
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A Fixed Point Theorem for Discontinuous Functions [PDF]
SSRN Electronic Journal, 2004 AMS classifications: 54H25, 65K10, 49J53 ...
P. Jean-Jacques Herings +5 more
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Handel's fixed point theorem revisited
, 2012 Michael Handel proved in [7] the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity ...
Brown +4 more
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A Suzuki Type Fixed-Point Theorem
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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Application of the omitted ray fixed point theorem
Electronic Journal of Qualitative Theory of Differential Equations, 2014 This paper presents a nontrivial application of the omitted ray fixed point theorem. Existence of solutions arguments to nonlinear boundary value problems utilizing the Krasnoselskii fixed point theorem, Leggett-Williams fixed point theorem and their ...
Douglas Anderson, Richard Avery
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