Results 21 to 30 of about 1,104,947 (264)
On orthogonal sets and Banach fixed point theorem
, 2017 We introduce the notion of the orthogonal sets and give a real generalization of Banach’ fixed point theorem. As an application, we find the existence of solution for a first-order ordinary differential equation.
M. Gordji, M. Rameani, M. Sen, Y. Cho
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The Caristi–Kirk Fixed Point Theorem from the point of view of ball spaces
Journal of Fixed Point Theory and Applications, 2018 We take a fresh look at the important Caristi–Kirk Fixed Point Theorem and link it to the recently developed theory of ball spaces, which provides generic fixed point theorems for contracting functions in a number of applications including, but not ...
F. Kuhlmann +2 more
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A uniqueness theorem for fixed points [PDF]
Proceedings of the American Mathematical Society, 1980 In a recent paper, R. Kellogg [3] showed that if F : D ¯ → D ¯ F:\bar D \to \bar D is a completely continuous map of the closure of a bounded, convex, open set D in a real Banach space X, F
Charles Alexander Stuart, H. L. Smith
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A Nadler-type fixed point theorem in dislocated spaces and applications
, 2018 In this paper, we introduce the concept of a Hausdorff dislocated metric . We initiate the study of fixed point theory for multi-valued mappings on dislocated metric space using the Hausdorff dislocated metric and we prove a generalization of the well ...
H. Aydi +3 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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Various extensions of Kannan’s fixed point theorem
, 2018 The aim of the paper is to give some extensions of Kannan’s fixed point theorem. In particular, we give some criteria of the usual functional type for the convergence of iterations generated by a Kannan-type mapping to a fixed point of the mapping.
J. Górnicki
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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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Mathematics, 2018 In this paper, we first establish a new fixed point theorem that generalizes and unifies a number of well-known fixed point results, including the Banach contraction principle, Kannan’s fixed point theorem, Chatterjea fixed point theorem, Du ...
Wei-Shih Du +2 more
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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.
T. L. Hicks, Alberta Bollenbacher
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Banach fixed point theorem for digital images
, 2016 In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle.
Ozgur Ege, Ismet Karaca
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