A Krasnoselskiĭ cone compression result for multimaps in the S-KKM class.
Displaying 101 – 120 of 1323
A la recherche du spectre perdu: An invitation to nonlinear spectral theory
Appell, Jürgen (2003)
Nonlinear Analysis, Function Spaces and Applications
We give a survey on spectra for various classes of nonlinear operators, with a particular emphasis on a comparison of their advantages and drawbacks. Here the most useful spectra are the asymptotic spectrum by M. Furi, M. Martelli and A. Vignoli (1978), the global spectrum by W. Feng (1997), and the local spectrum (called “phantom”) by P. Santucci and M. Väth (2000). In the last part we discuss these spectra for homogeneous operators (of any degree), and derive a discreteness result and a nonlinear...
A Leray--Schauder alternative for weakly-strongly sequentially continuous weakly compact maps.
Agarwal, Ravi P., O'Regan, Donal, Liu, Xinzhi (2005)
Fixed Point Theory and Applications [electronic only]
A minimax inequality with applications to existence of equilibrium point and fixed point theorems
Xie Ding, Kok-Keong Tan (1992)
Colloquium Mathematicae
Ky Fan’s minimax inequality [8, Theorem 1] has become a versatile tool in nonlinear and convex analysis. In this paper, we shall first obtain a minimax inequality which generalizes those generalizations of Ky Fan’s minimax inequality due to Allen [1], Yen [18], Tan [16], Bae Kim Tan [3] and Fan himself [9]. Several equivalent forms are then formulated and one of them, the maximal element version, is used to obtain a fixed point theorem which in turn is applied to obtain an existence theorem of an...
A minimization theorem in quasi-metric spaces and its applications.
Ume, Jeong Sheok (2002)
International Journal of Mathematics and Mathematical Sciences
A modification of Newton's method
Vlastimil Pták (1976)
Časopis pro pěstování matematiky
A multiplicity fixed point theorem in Fréchet spaces.
O'Regan, D. (2000)
Zeitschrift für Analysis und ihre Anwendungen
A multiplicity result for a system of real integral equations by use of the Nielsen number
Andrei Borisovich, Zygfryd Kucharski, Wacław Marzantowicz (1999)
Banach Center Publications
We prove an existence and multiplicity result for solutions of a nonlinear Urysohn type equation (2.14) by use of the Nielsen and degree theory in an annulus in the function space.
A multivalued fixed point theorem in non-archimedean vector spaces.
Kubiaczyk, I., Mostafa, Ali N. (1996)
Novi Sad Journal of Mathematics
A new approach for fuzzy gyronorms on gyrogroups and its fuzzy topologies
Yu Shen, Conghua Yan (2024)
Kybernetika
In this paper, a new approach for fuzzy gyronorms on gyrogroups is presented. The relations between fuzzy metrics(in the sense of Morsi), fuzzy gyronorms, gyronorms on gyrogroups are studied. Also, some sufficient conditions, which can make a fuzzy normed gyrogroup to be a topological gyrogroup and a fuzzy topological gyrogroup, are found. Meanwhile, the relations between topological gyrogroups, fuzzy topological gyrogroups and stratified fuzzy topological gyrogroups are studied. Finally, the properties...
A new class of nonexpansive type mappings and fixed points
Ljubomir B. Ćirić (1999)
Czechoslovak Mathematical Journal
In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
A new composite implicit iterative process for a finite family of nonexpansive mappings in Banach spaces.
Gu, Feng, Lu, Jing (2006)
Fixed Point Theory and Applications [electronic only]
A new iterative algorithm for approximating common fixed points for asymptotically nonexpansive mappings.
Zhou, H.Y., Cho, Y.J., Kang, S.M. (2007)
Fixed Point Theory and Applications [electronic only]
A new iterative algorithm for the set of fixed-point problems of nonexpansive mappings and the set of equilibrium problem and variational inequality problem.
Kangtunyakarn, Atid (2011)
Abstract and Applied Analysis
A new one-step iterative process for common fixed points in Banach spaces.
Abbas, Mujahid, Khan, Safeer Hussain, Kim, Jong Kyu (2008)
Journal of Inequalities and Applications [electronic only]
A nonlinear boundary value problem for a system of hyperbolic partial differential equations.
Andrzej Borzymowski, Marek W. Michalski (1988)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
A nonstandard fixed point result in ...
Mohamed Amine Khamsi (1993)
Revista colombiana de matematicas
A note fixed point theorems of Diaz and Metcalf
J. Achari (1979)
Matematički Vesnik
A note on a mean ergodic theorem
A. Al-Hussaini (1974)
Annales Polonici Mathematici
A note on close-to-normal structure
Ho Duc Viet, Nguyen Thiep (1979)
Commentationes Mathematicae Universitatis Carolinae