Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations

@inproceedings{Alecsa2019SequencesOC,
  title={Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations},
  author={Cristian Daniel Alecsa},
  year={2019}
}
It is well known that fixed point problems of contractive-type mappings defined on cone metric spaces over Banach algebras are not equivalent to those in usual metric spaces (see [3] and [10]). In this framework, the novelty of the present paper represents the development of some fixed point results regarding sequences of contractions in the setting of cone metric spaces over Banach algebras. Furthermore, some examples are given in order to strengthen our new concepts. Also, based on the… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 19 REFERENCES

Functional Analysis (2nd edition)

W. Rudin
  • McGraw-Hill, New York
  • 1991
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Sequences of (ψ

S. N. Mishra, R. Pant, R. Panicker
  • φ)-weakly contractive mappings and stability of fixed points, Int. Journal of Math. Analysis 7
  • 2013
VIEW 1 EXCERPT