On generalized α - ψ-Geraghty contractions on b-metric spaces

被引：99

作者：

Afshari, Hojjat ^{[2
]}

Aydi, Hassen ^{[3
,4
]}

Karapinar, Erdal ^{[1
]}

机构：

[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

[2] Univ Bonab, Fac Basic Sci, Bonab, Iran

[3] Imam Abdulrahman Bin Faisal Univ, Coll Educ Lubail, Dept Math, PO 12020, Ind Lubail 31961, Saudi Arabia

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2020年 / 27卷 / 01期

关键词：

Complete b-metric space; fixed point; generalized alpha - psi-Geraghty contraction; PARTIALLY ORDERED SETS; FIXED-POINT THEOREMS; MAPPINGS;

D O I：

10.1515/gmj-2017-0063

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider generalized alpha - psi-Geraghty contractive type mappings and investigate the existence and uniqueness of a fixed point for mappings involving such contractions. In particular, we extend, improve and generalize some earlier results in the literature on this topic. An application concerning the existence of an integral equation is also considered to illustrate the novelty of the main result.

引用

页码：9 / 21

页数：13

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