The fixed point index for accretive mapping with -set contraction perturbation in cones.
Chen, Yuqing (1996)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Chen, Yuqing (1996)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Avery, Richard, Henderson, Johnny, O'Regan, Donal (2007)
Fixed Point Theory and Applications [electronic only]
Similarity:
Marian Mrozek (1989)
Fundamenta Mathematicae
Similarity:
Soltanov, Kamal N. (2007)
Fixed Point Theory and Applications [electronic only]
Similarity:
Xian Xu, Bingjin Wang (2009)
Mathematica Bohemica
Similarity:
In this paper, we prove some multiplicity results for sign-changing solutions of an operator equation in an ordered Banach space. The methods to show the main results of the paper are to associate a fixed point index with a strict upper or lower solution. The results can be applied to a wide variety of boundary value problems to obtain multiplicity results for sign-changing solutions.
Roman Srzednicki (1985)
Fundamenta Mathematicae
Similarity:
Feng, Meiqiang, Zhang, Xuemei, Ge, Weigao (2010)
Abstract and Applied Analysis
Similarity:
Obukhovskii, Valeri, Zecca, Pietro, Zvyagin, Victor (2002)
Abstract and Applied Analysis
Similarity:
Smaïl Djebali, Karima Hammache (2008)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
In this work, we establish new Furi–Pera type fixed point theorems for the sum and the product of abstract nonlinear operators in Banach algebras; one of the operators is completely continuous and the other one is -Lipchitzian. The Kuratowski measure of noncompactness is used together with recent fixed point principles. Applications to solving nonlinear functional integral equations are given. Our results complement and improve recent ones in [10], [11], [17].