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Title

Multi-valued operators and fixed point theorems in Banach algebras

Authors 1

Affiliations

  1. Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India

Abstract

In this paper, two multi-valued versions of the well-known hybrid fixed point theorem of Dhage [6] in Banach algebras are proved. As an application, an existence theorem for a certain differential inclusion in Banach algebras is also proved under the mixed Lipschitz and compactness type conditions.

Keywords

ENG
multi-valued operator, fixed point theorem and integral inclusion

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2004/24/1
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Pages:
97-122
Main language of publication
English
Received
2004-06-04
Published
2004

DOI: 10.7151/dmgt.1054

Exact and natural sciences