Results 51 to 60 of about 1,104,947 (264)
Partial metric spaces with negative distances and fixed point theorems [PDF]
, 2015 In this paper we consider partial metric spaces in the sense of O'Neill. We introduce the notions of strong partial metric spaces and Cauchy functions.
Assaf, Samer, Pal, Koushik
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Approximate fixed point theorems [PDF]
Scientific Annals of the A.I.I. Cuza University, 2001 The authors discuss weakenings of the conditions in the fixed point theorems of Brouwer, Kakutani and Banach which still guarantee the existence of approximate fixed points.
TORRE, ANNA, Tijs S., Brânzei R.
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A note on fixed-point theorems
Journal of Approximation Theory, 1982 AbstractIn an earlier note, S. P. Singh gave an extension of a theorem of Brosowski in a normed linear space setting. Variants of this theorem are considered in the context of strictly convex, reflexive, and inner product spaces.
M.D Humphries, T.L Hicks
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A Noncontractive Fixed Point Theorem [PDF]
Proceedings of the American Mathematical Society, 1970 The sequence Txn so constructed contains a subsequence TXnk which converges to some x X and which, by Ascoli's theorem [3], is equicontinuous. It follows in turn from (1) that the sequence Xnk is equicontinuous. To complete the proof it suffices to show xn,(t)-x(t) in B.
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Functional compression-expansion fixed point theorem
Electronic Journal of Differential Equations, 2008 This paper presents a generalization of the fixed point theorems of compression and expansion of functional type. As an application, the existence of a positive solution to a second order conjugate boundary value problem is considered. We conclude
Donal O'regan +2 more
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Coarse Geometry and P. A. Smith Theory
, 2010 We define a generalization of the fixed point set, called the bounded fixed set, for a group acting by isometries on a metric space. An analogue of the P. A.
Hambleton, Ian, Savin, Lucian
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New fixed point theorem under R-contractions
, 2015 In this manuscript we introduce the notions of R-function and R-contractions, and we show an ad hoc fixed point theorem. We prove that this new kind of contractions properly includes the family of all Meir-Keeler contractions and other well-known classes
A. F. Roldán López de Hierro +1 more
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Nadler’s fixed point theorem in ν-generalized metric spaces
Fixed Point Theory and Applications, 2017 We extend Nadler’s fixed point theorem to ν-generalized metric spaces. Through the proof of the above extension, we understand more deeply the mathematical structure of a ν-generalized metric space.
Tomonari Suzuki
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Homological selections and fixed-point theorems
, 2016 A homological selection theorem for C-spaces, as well as, a finite-dimensional homological selection theorem is established. We apply the finite-dimensional homological selection theorem to obtain fixed-point theorems for usco homologically UV^n set ...
Valov, Vesko
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Some Generalizations of Jungck's Fixed Point Theorem
International Journal of Mathematics and Mathematical Sciences, 2012 We are going to generalize the Jungck's fixed point theorem for commuting mappings by mean of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral type and contractive ...
J. R. Morales, E. M. Rojas
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