Bogdan Przeradzki (2012)
Open Mathematics
Similarity:
The existence of a fixed point for the sum of a generalized contraction and a compact map on a closed convex bounded set is proved. The result is applied to a kind of nonlinear integral equations.
Kartsatos, Athanassios G., Skrypnik, Igor V. (2005)
Abstract and Applied Analysis
Similarity:
Baronti, Marco, Casini, Emanuele, Papini, Pier Luigi (2006)
Fixed Point Theory and Applications [electronic only]
Similarity:
Webb, J. R. L.
Similarity:
In-Sook Kim, Jung-Hyun Bae (2013)
Open Mathematics
Similarity:
Let X be an infinite-dimensional real reflexive Banach space such that X and its dual X* are locally uniformly convex. Suppose that T: X⊃D(T) → 2X* is a maximal monotone multi-valued operator and C: X⊃D(C) → X* is a generalized pseudomonotone quasibounded operator with L ⊂ D(C), where L is a dense subspace of X. Applying a recent degree theory of Kartsatos and Skrypnik, we establish the existence of an eigensolution to the nonlinear inclusion 0 ∈ T x + λ C x, with a regularization method...
W. Feng, Jeffrey Ronald Leslie Webb (1997)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equations of the form , where is invertible, and satisfy various types of homogeneity conditions. We are able to answer some questions left open by Fuč’ık, Nečas, Souček, and Souček. We employ the concept of an -stably-solvable operator, related to nonlinear spectral theory methodology. Applications are given to a nonlinear Sturm-Liouville problem and a three point boundary value problem recently...
Husain, T., Latif, Abdul (1991)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Ariza-Ruiz, David, Jiménez-Melado, Antonio (2009)
Fixed Point Theory and Applications [electronic only]
Similarity: