Results 1 to 10 of about 6,012,202 (297)

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   +3 more sources

On Krasnoselskii's Cone Fixed Point Theorem

Fixed Point Theory and Applications, 2008
In recent years, the Krasnoselskii fixed point theorem for cone maps and its many generalizations have been successfully applied to establish the existence of multiple solutions in the study of boundary value problems of various types.
Kwong ManKam
doaj   +2 more sources

New Applications of Perov’s Fixed Point Theorem

Mathematics, 2022
The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are
Sorin Mureşan, Loredana Florentina Iambor, Omar Bazighifan   +2 more
doaj   +1 more source

Caristi’s Fixed Point Theorem and Subrahmanyam’s Fixed Point Theorem in ν-Generalized Metric Spaces

Journal of Function Spaces, 2015
We discuss the completeness of ν-generalized metric spaces in the sense of Branciari. We also prove generalizations of Subrahmanyam’s and Caristi’s fixed point theorem.
Badriah Alamri, Tomonari Suzuki, Liaqat Ali Khan   +2 more
doaj   +1 more source

Generalization of Rakotch's fixed Point Theorem

Revista de Matemática: Teoría y Aplicaciones, 2011
In this paper we get some generalizations of Rakotch's results [10] using the notion of $\omega ?distancia$ on a metric ...
José R. Morales
doaj   +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

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

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

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