Results 21 to 30 of about 1,115,420 (368)

The Caristi–Kirk Fixed Point Theorem from the point of view of ball spaces

Journal of Fixed Point Theory and Applications, 2018
We take a fresh look at the important Caristi–Kirk Fixed Point Theorem and link it to the recently developed theory of ball spaces, which provides generic fixed point theorems for contracting functions in a number of applications including, but not ...
F. Kuhlmann, K. Kuhlmann, Matthias Paulsen   +2 more
semanticscholar   +1 more source

GENERALIZED FIXED POINT THEOREM

Demonstratio 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

ON A QUASI FIXED-POINT THEOREM [PDF]

Bulletin of the Korean Mathematical Society, 2003
In the paper under review, the author generalizes, in some aspects, the quasi fixed-point theorem due to \textit{I. Lefebvre} [Set-Valued Anal. 9, No. 3, 273--288 (2001; Zbl 0986.54051)] and proves the following Theorem. Let \(I\) and \(J\) be any index sets.
openaire   +2 more sources

A Nadler-type fixed point theorem in dislocated spaces and applications

, 2018
In this paper, we introduce the concept of a Hausdorff dislocated metric . We initiate the study of fixed point theory for multi-valued mappings on dislocated metric space using the Hausdorff dislocated metric and we prove a generalization of the well ...
H. Aydi, A. Felhi, E. Karapınar, Slah Sahmim   +3 more
semanticscholar   +1 more source

Various extensions of Kannan’s fixed point theorem

, 2018
The aim of the paper is to give some extensions of Kannan’s fixed point theorem. In particular, we give some criteria of the usual functional type for the convergence of iterations generated by a Kannan-type mapping to a fixed point of the mapping.
J. Górnicki
semanticscholar   +1 more source

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

Mathematics, 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, Erdal Karapınar, Zhenhua He   +2 more
doaj   +1 more source

Banach fixed point theorem for digital images

, 2016
In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle.
Ozgur Ege, Ismet Karaca
semanticscholar   +1 more source

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

Abstract 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

Polynomial Analogue of Gandy’s Fixed Point Theorem

Mathematics, 2021
The paper suggests a general method for proving the fact whether a certain set is p-computable or not. The method is based on a polynomial analogue of the classical Gandy’s fixed point theorem.
Sergey Goncharov, Andrey Nechesov
doaj   +1 more source

An Extension of Gregus Fixed Point Theorem

Fixed Point Theory and Applications, 2007
Let C be a closed convex subset of a complete metrizable topological vector space (X,d) and T:C→C a mapping that satisfies d(Tx,Ty)≤ad(x,y)+bd(x,Tx)+cd(y,Ty)+ed(y,Tx)+fd(x,Ty) for all x,y∈C, where ...
J. O. Olaleru, H. Akewe
doaj   +2 more sources