Common Fixed Points of Two Mappings regarding a Generalizedc-Distance over a Banach Algebra | Zendy

Ladan Aryanpour | Zendy; Hamidreza Rahimi | Zendy; Ghasem Soleimani Rad | Zendy

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Common Fixed Points of Two Mappings regarding a Generalized

c

-Distance over a Banach Algebra

Author(s) -

Ladan Aryanpour,

Hamidreza Rahimi,

Ghasem Soleimani Rad

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6623606

Subject(s) - mathematics , metric space , banach space , type (biology) , metric (unit) , discrete mathematics , algebra over a field , pure mathematics , ecology , operations management , economics , biology

In this article, applying the concept of a generalized c -distance in cone b -metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type contraction. Our results are interesting, since they are not equivalent to former well-known results regarding a w t -distance in b -metric spaces while they contain recent results corresponding to a generalized c -distance in cone b -metric spaces.

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