Sengadir, T and Pai, DV and Pani, AK
(1997)
*A Leray-Schauder type theorem and applications to boundary value problems for neutral equations.*
In: Nonlinear Analysis, 28
(4).
pp. 701-719.

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## Abstract

Consider the following two theorems which motivate the main result of this paper. THEOREM 1.1 (Fitzpatrick and Petryshyn [l]). Let X be a Frechet space and let D be an open neighbourhood of 0. Suppose that F : o- X is a continuous x-condensing map such that (a) hx # F(x), x E W and h > 1. Then F has a fixed point. Here, for a subset D of X, i3D and D denote the boundary and closure of D, respectively. Further, x is the ball measure of noncompactness on X defined as in [2].

Item Type: | Journal Article |
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Additional Information: | Copyright of this article belongs to Elsevier Science. |

Keywords: | Measure of noncompactness;Frechet Spaces;fixed point theorems;neutral functional differential equations. |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Date Deposited: | 31 Aug 2009 08:36 |

Last Modified: | 19 Sep 2010 05:00 |

URI: | http://eprints.iisc.ernet.in/id/eprint/18267 |

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