Results 11 to 20 of about 861,171 (274)

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

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

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

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

Fixed Point Theorems in Neutrosophic Fuzzy Metric Space and a Characterization to its Completeness [PDF]

Neutrosophic Sets and Systems
The present research work aims to establish some basic conventional fixed point theorems such as the Banach fixed point theorem, Edelstein fixed point theorem and Kannan fixed point theorem, for a recently introduced topological space, known as the ...
Samriddhi Ghosh, Ramakant Bhardwaj, Satyendra Narayan , Sonam Sonam   +3 more
doaj   +1 more source

Handel's fixed point theorem revisited

, 2012
Michael Handel proved in [7] the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity ...
Brown, Brown, Fathi, JULIANA XAVIER, Le Roux   +4 more
core   +2 more sources

A Suzuki Type Fixed-Point Theorem

International Journal of Mathematics and Mathematical Sciences, 2011
We present a fixed-point theorem for a single-valued map in a complete metric space using implicit relation, which is a generalization of several previously stated results including that of Suziki (2008).
Ishak Altun, Ali Erduran
doaj   +1 more source

New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness

Abstract and Applied Analysis, 2013
Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper.
Wei-Shih Du
doaj   +1 more source

Fixed Point Theorem of Ciric-Pata Type

International 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