Existence, Approximation and Stability of Fixed Point for Ciric Contraction in Convex b-Metric Spaces

被引：0

作者：

Gazal ^{[1
]}

Rathee, Savita ^{[2
]}

Mahima ^{[1
]}

Kadyan, Anshuka ^{[2
]}

Minakshi ^{[3
]}

Kumar, Anil ^{[3
]}

机构：

[1] Gurugram Univ, Dept Engn & Technol, Gurugram 122003, Haryana, India

[2] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India

[3] Sir Chhotu Ram Govt Coll Women Sampla, Dept Math, Rohtak 124501, Haryana, India

来源：

AXIOMS | 2023年 / 12卷 / 07期

关键词：

b-metric spaces; convex metric spaces; approximation; stability; ciric contraction;

D O I：

10.3390/axioms12070646

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a new fixed point theorem in the setting of convex b-metric spaces that ensures the existence of fixed point for Ciric contraction with the assumption k<1/2. Also, the fixed point is approximated by Krasnoselskij iterative procedure. Moreover, we discuss the stability of fixed point for the aforesaid contraction. As a consequence, we develop a common fixed point and coincidence point result. Finally, we provide a number of examples to illustrate the findings presented here and incorporate these findings to solve an initial value problem.

引用

页数：23

共 50 条

[21] New fixed point theorems for 0-?-contraction on b-metric spaces
Rossafi, Mohamed
Kari, Abdelkarim
Park, Choonkil
Lee, Jung Rye
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 29 (01): : 12 - 27
[22] Integral Equation via Fixed Point Theorems on a New Type of Convex Contraction in b-Metric and 2-Metric Spaces
Nallaselli, Gunasekaran
Gnanaprakasam, Arul Joseph
Mani, Gunaseelan
Mitrovic, Zoran D.
Aloqaily, Ahmad
Mlaiki, Nabil
MATHEMATICS, 2023, 11 (02)
[23] On stability of fixed point inclusion for multivalued type contraction mappings in dislocated b-metric spaces with application
Phiangsungnoen, Supak
Kumam, Poom
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) : 7407 - 7420
[24] Existence and approximation of fixed points in convex metric spaces
Fukhar-Ud-Din, Hafiz
CARPATHIAN JOURNAL OF MATHEMATICS, 2014, 30 (02) : 175 - 185
[25] On non-unique fixed point of Ciric type operators in extended b-metric spaces and applications
Khan, Mohammad Saeed
Singh, Yumnam Mahendra
Abbas, Mujahid
Rakocevic, Vladimir
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2020, 69 (03) : 1221 - 1241
[26] ON CIRIC TYPE THEOREMS IN b-METRIC SPACES
Dung, Nguyen Van
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2023, 113 (127): : 99 - 108
[27] A Fixed Point Theorem for Generalized Ciric-Type Contraction in Kaleva-Seikkala's Type Fuzzy b-Metric Spaces
Wu, Jiaojiao
He, Fei
Li, Shufang
AXIOMS, 2023, 12 (07)
[28] Existence of fixed point results in orthogonal extended b-metric spaces with application
Javed, Khalil
Naeem, Muhammad
Din, Fahim Ud
Aziz, Muhammad Rashid
Abdeljawad, Thabet
AIMS MATHEMATICS, 2022, 7 (04): : 6282 - 6293
[29] Fixed point theorems for generalized (α* - ψ)-Ciric-type contractive multivalued operators in b-metric spaces
Bota, Monica-Felicia
Chifu, Cristian
Karapinar, Erdal
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 1165 - 1177
[30] Fixed Point Results for Ciric Type Weak Contraction in Metric Spaces with Applications to Partial Metric Spaces
Choudhury, Binayak S.
Kundu, A.
Metiya, N.
FILOMAT, 2014, 28 (07) : 1505 - 1516

← 1 2 3 4 5 →