Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras

Joint Authors

Han, Yan
Xu, Shaoyuan

Source

Journal of Function Spaces

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-05-15

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

The fixed point theorems for one mapping and the common fixed point theorems for two mappings satisfying generalized Lipschitz conditions are obtained, without appealing to continuity for mappings or normality for cone in the conditions.

Furthermore, we not only get the existence of the fixed point but also get the uniqueness.

These results greatly improve and generalize several well-known comparable results in the literature.

Moreover, example is given to support our new results.

American Psychological Association (APA)

Han, Yan& Xu, Shaoyuan. 2018. Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1186561

Modern Language Association (MLA)

Han, Yan& Xu, Shaoyuan. Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras. Journal of Function Spaces No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1186561

American Medical Association (AMA)

Han, Yan& Xu, Shaoyuan. Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1186561

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1186561