Multi-valued operators and fixed point theorems in Banach algebras

Bapur Chandra Dhage

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2004)

  • Volume: 24, Issue: 1, page 97-122
  • ISSN: 1509-9407

Abstract

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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.

How to cite

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Bapur Chandra Dhage. "Multi-valued operators and fixed point theorems in Banach algebras." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 24.1 (2004): 97-122. <http://eudml.org/doc/271443>.

@article{BapurChandraDhage2004,
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.},
author = {Bapur Chandra Dhage},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {multi-valued operator; fixed point theorem and integral inclusion; hybrid fixed point theorem; integral inclusion},
language = {eng},
number = {1},
pages = {97-122},
title = {Multi-valued operators and fixed point theorems in Banach algebras},
url = {http://eudml.org/doc/271443},
volume = {24},
year = {2004},
}

TY - JOUR
AU - Bapur Chandra Dhage
TI - Multi-valued operators and fixed point theorems in Banach algebras
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2004
VL - 24
IS - 1
SP - 97
EP - 122
AB - 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.
LA - eng
KW - multi-valued operator; fixed point theorem and integral inclusion; hybrid fixed point theorem; integral inclusion
UR - http://eudml.org/doc/271443
ER -

References

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