Results 71 to 80 of about 860,501 (206)

Some fixed point theorems for discontinuous mappings [PDF]

open access: yes
This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.Schauder fixed point theorem, Brouwer fixed point theorem, discontinuity.
Philippe Bich
core  

On a fixed point theorem of Pathak

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
It is shown that the continuity of the mapping in Pathak's fixed point theorem for normed spaces is not necessary.
Brian Fisher
doaj   +1 more source

A selection and a fixed point theorem and an equilibrium point of an abstract economy

open access: yesInternational 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

On coincidence theorems for a family of mappings in convex metric spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
In this paper, a theorem on common fixed points for a family of mappings defined on convex metric spaces is presented. This theorem is a generalization of the well known fixed point theorem proved by Assad and Kirk. As an application a common fixed point
Olga Hadzic
doaj   +1 more source

Mizoguchi–Takahashi’s type common fixed point theorem

open access: yesJournal 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

A fixed point theorem for multivalued mappings

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2004
A generalization of the Leray-Schauder principle for multivalued mappings is given. Using this result, an existence theorem for an integral inclusion is obtained.
C. Avramescu
doaj   +1 more source

On Latif's Fixed Point Theorems

open access: yesTaiwanese Journal of Mathematics, 2011
In this paper, we prove that Latif’s fixed point statements for w-distance or other weak distances are indeed equivalent with some weak distance variants of Caristi’s fixed point statement, Ekeland’s variational principle statement and Takahashi’s nonconvex minimization ...
openaire   +3 more sources

Fixed Point Theorems on Partial Randomness [PDF]

open access: yesAnnals of Pure and Applied Logic, 2008
In our former work [K. Tadaki, Local Proceedings of CiE 2008, pp.425-434, 2008], we developed a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities at temperature T, such as free energy F(T), energy E(T), and statistical mechanical entropy S(T), into the theory.
openaire   +4 more sources

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