Results 81 to 90 of about 147 (97)

A generalization of the Leggett-Williams fixed point theorem and its application

Journal of Applied Mathematics and Computing, 2012
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Zhang, Hai-E, Sun, Jian-Ping
openaire   +4 more sources

A Fixed Point Theorem of Leggett–Williams Type with Applications to Single- and Multivalued Equations

gmj, 2001
Abstract We establish a general fixed point theorem for multivalued maps defined on cones in Banach spaces. Applications to single and multivalued equations are presented.
Ravi P. Agarwal, Donal O'regan
openaire   +3 more sources

A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed point theorem

Applied Mathematics and Computation, 2005
The authors consider the following boundary value problem for an impulsive differential equation of second order \[ \begin{gathered} y''(t)+ \varphi(t)f(y(t))= 0,\quad t\in (0,1)\setminus\{t_1,\dots, t_m\},\quad 0 ...
Agarwal, R.P., O'Regan, D.
openaire   +4 more sources

A generalization of the Petryshyn–Leggett–Williams fixed point theorem with applications to integral inclusions

Applied Mathematics and Computation, 2001
The authors extend the results of \textit{R. W. Leggett} and \textit{I. R. Williams} [Indiana Univ. Math. J. 28, 673--688 (1979; Zbl 0421.47033)] and \textit{W. V. Petryshyn} [J. Math. Anal. Appl. 124, 237--253 (1987; Zbl 0631.47044)] about the existence of at least three fixed points, to multivalued maps which satisfy an axiomatic index theory.
Agarwal, R.P., O'Regan, D.
openaire   +4 more sources

Expansion-compression fixed point theorem of Leggett-Williams type for the sum of two operators and applications for some classes of BVPs

Studia Universitatis Babes-Bolyai Matematica, 2023
"The purpose of this work is to establish an extension of a Leggett- Williams type expansion-compression fixed point theorem for a sum of two operators. As illustration, our approach is applied to prove the existence of non trivial nonnegative solutions for two-point BVPs and three-point BVPs."
Benslimane, Salim, Georgiev, Svetlin G., Mebarki, Karima   +2 more
openaire   +1 more source

Fixed point index for discontinuous operators and fixed point theorems in cones with applications

Journal of Fixed Point Theory and Applications, 2020
Rodrigo Lopez Pouso, Jorge Rodríguez–López, Lopez Pouso Rodrigo   +2 more
exaly  

Leggett–Williams norm-type fixed point theorems for multivalued mappings

Applied Mathematics and Computation, 2007
MIROSŁAWA Zima
exaly  

Four functionals fixed point theorem

Mathematical and Computer Modelling, 2008
Richard Avery, Johnny Henderson
exaly  

Omitted ray fixed point theorem

Journal of Fixed Point Theory and Applications, 2013
Richard Avery, Johnny Henderson, Xueyan Liu   +2 more
exaly  

Criteria for Convergence of Iterates in a Compression-Expansion Fixed Point Theorem of Functional Type

Springer Optimization and Its Applications, 2018
Richard I Avery, Douglas R Anderson, Johnny Henderson   +2 more
exaly