Continuous controlled cone metric-type spaces over real Banach algebras and fixed-point results

被引：0

作者：

Ullah, Wahid ^{[1
]}

Isik, Huseyin ^{[2
]}

Alam, Nouman ^{[3
]}

Park, Choonkil ^{[4
]}

Lee, Jung Rye ^{[5
]}

机构：

[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan

[2] Bandirma Onyedi Eylul Univ, Dept Engn Sci, Balikesir, Turkey

[3] Univ Engn & Technol Peshawar, Peshawar, Pakistan

[4] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

[5] Daejin Univ, Dept Data Sci, Kyunggi 11159, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期

关键词：

Controlled metric-type space; Cone metric space over Banach algebra; Fixed point; Reich-type contraction; ALPHA-ADMISSIBLE MAPPINGS; THEOREMS;

D O I：

10.1186/s13660-022-02789-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce a new geometrical structure that is the hybrid of a cone metric space over Banach algebra and a controlled metric-type space. We introduce a new metric space and prove analogs of Banach-, Kannan- and Reich-type fixed-point theorems. We also furnish various concrete examples to establish the validity of our results. The obtained results generalize many well-known results in the literature.

引用

页数：19

共 29 条

[1] Double Controlled Metric Type Spaces and Some Fixed Point Results [J].