Results 31 to 40 of about 159,558 (211)
arXiv, 2022 Many theorems in complex analysis propagate analyticity, such as the Forelli theorem, edge-of-the-wedge theorem and so on. We give a germination theorem which allows for general analytic propagation in complete normed fields. In turn, we develop general analogs of the Forelli theorem, edge-of-the-wedge theorem, and the royal road theorem, and gain ...
arxiv
An analogue of Mahler's transference theorem for multiplicative Diophantine approximation [PDF]
arXiv, 2023 Khintchine's and Dyson's transference theorems can be very easily deduced from Mahler's transference theorem. In the multiplicative setting an obstacle appears, which does not allow deducing the multiplicative transference theorem immediately from Mahler's theorem. Some extra considerations are required, for instance, induction by the dimension.
arxiv
Fixed Point Theorem on Multi-valued Mappings
International Journal of Analysis and Applications, 2013 In this paper, we prove a common fixed pointtheorem for two multivalued self-mappings in complete metric spaces.
J.Maria Joseph, E. Ramganesh
doaj +2 more sources
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
doaj
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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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
openaire +2 more sources
International Journal of Advanced Science and Engineering, 2021 The primary goal of the paper is to deliver a simple proof of equivalence between Brouwer’s fixed point theorem and the existence of equilibrium in a simple exchange model with monotonic consumers. To achieve this end, we discuss some equivalent formulations of Brouwer’s theorem and prove additional ones, that are ’approximating’ in character or seem ...
openaire +2 more sources
A selection and a fixed point theorem and an equilibrium point of an abstract economy
International Journal of Mathematics and Mathematical Sciences, 1995 A selection theorem and a fixed point theorem are proved. The fixed point theorem is then applied to prove the existence of an equilibrium point of an abstract economy.
T. Husain, E. Tarafdar
doaj +1 more source
Mizoguchi–Takahashi’s type common fixed point theorem
Journal of the Egyptian Mathematical Society, 2014 Recently Kamran extended the result of Mizoguchi and Takahashi for closed multi-valued mappings and proved a fixed point theorem. In this paper we further extend the result concluded by Kamran and prove a common fixed point theorem by using the concept ...
Muhammad Usman Ali
doaj +1 more source
Index theorem for inhomogeneous hypoelliptic differential operators [PDF]
arXiv, 2020 We prove an index theorem for inhomogeneous differential operators satisfying the Rockland condition (hence hypoelliptic). This theorem extends an index theorem for contact manifolds by Van-Erp.
arxiv