Common fixed point theorems in complex partial b-metric space with an application to integral equations

被引：4

作者：

Mani, Gunaseelan ^{[1
]}

Mishra, Lakshmi Narayan ^{[2
]}

Mishra, Vishnu Narayan ^{[3
]}

机构：

[1] Univ Madras, Sri Sankara Arts & Sci Coll Autonomous, Dept Math, Kanchipuram 631561, Tamil Nadu, India

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[3] Indira Gandhi Natl Tribal Univ, Dept Math, Anuppur 484887, Madhya Pradesh, India

来源：

ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2022年 / 15卷 / 01期

关键词：

complex valued b-metric space; complex partial b-metric space; common fixed point; coincidence point; fixed point; EXISTENCE THEOREMS;

D O I：

10.32513/asetmj/19322008209

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove a typical fixed point theorem for a couple of expansive mappings in complex partial b-metric space. Some of the well-known results in the literature are generalized and expanded by the proved results. An example is being given to help our results. In addition, the usability of the results obtained is proved here by an approach to integral equations.

引用

页码：129 / 149

页数：21

共 18 条

[1] COMMON FIXED POINT THEOREMS IN COMPLEX VALUED METRIC SPACES [J].

Azam, Akbar ;

Fisher, Brian ;

Khan, M. .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (03) :243-253

[2]

Bakhtin I.A., 1989, Functional Analysis., Gos. Ped. Inst., V30, P26, DOI DOI 10.1039/AP9892600037

[3]

Czerwik S., 1993, Acta Math. Inform. Univ. Ostrav, V1, P5

[4]

Deepmala, 2014, THESIS R SHUKLA U RA

[5]

Deepmala H.K., 2013, ACTA MATH SCI, V33

[6]

Dhivya P, 2017, COGENT MATH, V4, P1389622, DOI [10.1080/23311835.2017.1389622, 10.1080/23311835.2017.1389622, DOI 10.1080/23311835.2017.1389622]

[7]

Gunaseelan M, 2019, INT J RES ANAL REV, V6

[8]

Mishra LN, 2021, J. Math. Comput. Sci., V11, P6168, DOI [10.28919/jmcs/6164, 10.28919/10.28919/jmcs/6164, 10.28919/jmcs/6164, DOI 10.28919/JMCS/6164]

[9] Best proximity points of admissible almost generalized weakly contractive mappings with rational expressions on b-metric spaces [J].

Mishra, Lakshmi Narayan ;

Dewangan, Vinita ;

Mishra, Vishnu Narayan ;

Karateke, Seda .

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2021, 22 (02) :97-109

[10] Unique Fixed Point Theorems for Generalized Contractive Mappings in Partial Metric Spaces [J].

Mishra, Lakshmi Narayan ;

Tiwari, Shiv Kant ;

Mishra, Vishnu Narayan ;

Khan, Idrees A. .

JOURNAL OF FUNCTION SPACES, 2015, 2015

← 1 2 →