# Some algebraic fixed point theorems for multi-valued mappings with applications

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2006)

- Volume: 26, Issue: 1, page 5-55
- ISSN: 1509-9407

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topBupurao C. Dhage. "Some algebraic fixed point theorems for multi-valued mappings with applications." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 26.1 (2006): 5-55. <http://eudml.org/doc/271203>.

@article{BupuraoC2006,

abstract = {In this paper, some algebraic fixed point theorems for multi-valued discontinuous operators on ordered spaces are proved. These theorems improve the earlier fixed point theorems of Dhage (1988, 1991) Dhage and Regan (2002) and Heikkilä and Hu (1993) under weaker conditions. The main fixed point theorems are applied to the first order discontinuous differential inclusions for proving the existence of the solutions under certain monotonicity condition of multi-functions.},

author = {Bupurao C. Dhage},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {ordered space; fixed point theorem and differential inclusion; fixed point theorem; differential inclusion},

language = {eng},

number = {1},

pages = {5-55},

title = {Some algebraic fixed point theorems for multi-valued mappings with applications},

url = {http://eudml.org/doc/271203},

volume = {26},

year = {2006},

}

TY - JOUR

AU - Bupurao C. Dhage

TI - Some algebraic fixed point theorems for multi-valued mappings with applications

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2006

VL - 26

IS - 1

SP - 5

EP - 55

AB - In this paper, some algebraic fixed point theorems for multi-valued discontinuous operators on ordered spaces are proved. These theorems improve the earlier fixed point theorems of Dhage (1988, 1991) Dhage and Regan (2002) and Heikkilä and Hu (1993) under weaker conditions. The main fixed point theorems are applied to the first order discontinuous differential inclusions for proving the existence of the solutions under certain monotonicity condition of multi-functions.

LA - eng

KW - ordered space; fixed point theorem and differential inclusion; fixed point theorem; differential inclusion

UR - http://eudml.org/doc/271203

ER -

## References

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