Results 21 to 30 of about 58,433 (206)

GENERALIZED FIXED POINT THEOREM

open access: yesDemonstratio Mathematica, 1983
Let X be a metric space, A be a nonempty closed convex subset of a uniformly convex Banach space \((Y,| \cdot |)\), \(CB(A)\) be the collection of all nonempty closed convex and bounded subsets of A metrized by the Hausdorff metric D. the following Krasnosielskii type fixed point theorem is proved: Suppose that \(\Gamma: A\to X\) is a continuous ...
Kisielewicz, M., Rybiński, L.
openaire   +2 more sources

Some Simultaneous Generalizations of Well-Known Fixed Point Theorems and Their Applications to Fixed Point Theory

open access: yesMathematics, 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
doaj   +1 more source

A Schauder fixed point theorem in semilinear spaces and applications [PDF]

open access: yes, 2013
In this paper we present existence and uniqueness results for a class of fuzzy fractional integral equations. To prove the existence result, we give a variant of the Schauder fixed point theorem in semilinear Banach spaces.peer ...
Vasile Lupulescu   +7 more
core   +1 more source

A fixed point theorem for COFEs

open access: yesCoRR, 2023
A new fixed point principle for complete ordered families of equivalences (COFEs) is presented, which is stronger than the standard Banach-type fixed point principle.
openaire   +2 more sources

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

open access: yesNonlinear 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
doaj   +1 more source

Fixed point theorems for set-valued contraction type maps in metric spaces [PDF]

open access: yes, 2010
We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in
Amini-Harandi, A, O'Regan, D
core   +1 more source

New Results and Generalizations for Approximate Fixed Point Property and Their Applications

open access: yesAbstract 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
doaj   +1 more source

Approximate fixed point theorems [PDF]

open access: yesScientific 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.
openaire   +7 more sources

On A Fixed Point Theorem For The Product Of Operators [PDF]

open access: yes, 2017
In this paper, we study the existence of fixed points for the product of nonlinear operators. This kind of fixed point theorems is necessary in consideration of quadratic differential and integral problems.
Cichoń M., Metwali M.M.A.
core   +1 more source

Fixed Point Theorem of Ciric-Pata Type

open access: yesInternational Journal of Analysis and Applications, 2019
In this article, we proved a fixed point theorem of Ćirić-Pata type in metric space. This result extends several results in the existing literature. Moreover, an example is given in the support of our result.
Ao-Lei Sima, Fei He, Ning Lu
doaj   +2 more sources

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