Results 21 to 30 of about 1,126,383 (361)

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

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

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

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

Duan's fixed point theorem: proof and generalization

Fixed Point Theory and Applications, 2006
Let X be an H-space of the homotopy type of a connected, finite CW-complex, f:X→X any map and p k :X→X the k th power map. Duan proved that p k f :X→X has a fixed point if k≥2 .
Martin Arkowitz
doaj   +4 more sources

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

Approximate fixed point theorems [PDF]

Scientific 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

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

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

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

Nonlinear 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, Tayyab Kamran, Mihai Postolache   +2 more
doaj   +1 more source