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Fixed Point Theorems for Hybrid Mappings [PDF]

open access: yesThe Scientific World Journal, 2015
We obtain some fixed point theorems for two pairs of hybrid mappings using hybrid tangential property and quadratic type contractive condition. Our results generalize some results by Babu and Alemayehu and those contained therein.
Maria Samreen   +2 more
doaj   +2 more sources

Approximate Fixed Point Theorems [PDF]

open access: yesScientific Annals of the A.I.I. Cuza University, 2001
Under some weakenings of the condition of the well-known fixed point theorems of Brouwer, Kakutani and Banach the existence of approximate fixed points turns out to be still guaranteed.
Brânzei, R., Tijs, S.H., Torre, A.
core   +9 more sources

Generalized Caristi's Fixed Point Theorems [PDF]

open access: yesFixed Point Theory and Applications, 2009
We present generalized versions of Caristi's fixed point theorem for multivalued maps. Our results either improve or generalize the corresponding generalized Caristi's fixed point theorems due to Bae (2003), Suzuki (2005), Khamsi (2008), and ...
Abdul Latif
doaj   +3 more sources

Fixed point theorems in R-metric spaces with applications

open access: yes, 2020
The purpose of this paper is to introduce the notion of R-metric spaces and give a real generalization of Banach fixed point theorem. Also, we give some conditions to construct the Brouwer fixed point. As an application, we find the existence of solution
S. Khalehoghli, H. Rahimi, M. Gordji
semanticscholar   +1 more source

Fixed Point Theorems for Almost

open access: yesMathematics, 2018
In this paper, we investigate the existence and uniqueness of a fixed point of almost contractions via simulation functions in metric spaces. Moreover, some examples and an application to integral equations are given to support availability of the ...
Huseyin Isik   +3 more
doaj   +1 more source

Applying new fixed point theorems on fractional and ordinary differential equations

open access: yesAdvances in Differential Equations, 2019
In this paper, we consider a fixed point theorem that extends and unifies several existing results in the literature. We apply the proven fixed point results on the existence of solution of ordinary boundary value problems and fractional boundary value ...
E. Karapınar, T. Abdeljawad, F. Jarad
semanticscholar   +1 more source

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

Point-valued mappings of sets

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
Let X be a metric space and let CB(X) denote the closed bounded subsets of X with the Hausdorff metric. Given a complete subspace Y of CB(X), two fixed point theorems, analogues of results in [1], are proved, and examples are given to suggest their ...
Matt Insall
doaj   +1 more source

Random fixed point theorems under mild continuity assumptions [PDF]

open access: yes, 2013
In this paper, we study the existence of the random fixed points under mild continuity assumptions. The main theorems consider the almost lower semicontinuous operators defined on Frechet spaces and also operators having properties weaker than lower ...
Patriche, Monica
core   +2 more sources

A fixed point theorem [PDF]

open access: yesProceedings of the American Mathematical Society, 1956
Suppose that space is metric. A chain is a finite collection of open sets d1, d2, * * * , dn such that di intersects dj if and only if I i-jj I 1. If the elements of a chain are of diameter less than a positive number e, that chain is said to be an e-chain.
openaire   +1 more source

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