Some Generalizations of Mulit-Valued Version of Schauder‘s Fixed Point Theorem with Applications
-
Bapurao C. Dhage
bcdhage@yahoo.co.in
Downloads
DOI:
https://doi.org/10.4067/S0719-06462010000300009Abstract
In this article, a generalization of a Kakutani-Fan fixed point theorem for multi-valued mappings in Banach spaces is proved under weaker upper semi-continuity condition and it is further applied to derive a generalized version of Krasnoselskii‘s fixed point theorem and some nonlinear alternatives of Leray-Schauder type for multi-valued closed mappings in Banach spaces.
Keywords
Most read articles by the same author(s)
- Bapurao C. Dhage, John R. Graef, Shyam B. Dhage, Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
Similar Articles
- Abderrahim Guerfi, Abdelouaheb Ardjouni, Existence, uniqueness, continuous dependence and Ulam stability of mild solutions for an iterative fractional differential equation , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Donal O‘Regan, Fixed point theory for compact absorbing contractions in extension type spaces , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- K. Gürlebeck, J. Morais, On mapping properties of monogenic functions , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- Ram U. Verma, Linear convergence analysis for general proximal point algorithms involving (H, η) − monotonicity frameworks , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- G. S. Saluja, Fixed point theorems on cone \(S\)-metric spaces using implicit relation , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- Mircea Balaj, Donal O‘Regan, An Intersection Theorem and its Applications , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Sehie Park, Remarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- A. Zerki, K. Bachouche, K. Ait-Mahiout, Existence of solutions for higher order \(\phi-\)Laplacian BVPs on the half-line using a one-sided Nagumo condition with nonordered upper and lower solutions , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Youssef N. Raffoul, Boundedness and stability in nonlinear systems of differential equations using a modified variation of parameters formula , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Mouffak Benchohra, Gaston M. N‘Guérékata, Djamila Seba, Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.











