SOME FIXED POINT THEOREMS OF GENERALIZED Ft-CONTRACTION MAPPINGS IN b-METRIC SPACES

被引:15
作者
Delfani, Mahtab [1 ]
Farajzadeh, Ali [1 ]
Wen, Ching-Feng [2 ,3 ,4 ]
机构
[1] Razi Univ, Dept Math, Kermanshah 67149, Iran
[2] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80708, Taiwan
[3] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 80708, Taiwan
[4] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 80708, Taiwan
来源
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2021年 / 5卷 / 04期
关键词
Fixed point; Generalized contraction mapping; Ordered b-metric space; t-property; PARTIALLY ORDERED SETS; EQUILIBRIUM PROBLEMS;
D O I
10.23952/jnva.5.2021.4.08
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, two generalized contractions, the generalized F-ts-contraction and the generalized (psi, phi, F-ts)-contraction, are introduced. Two fixed point theorems were established in ordered b-metric spaces. An example is presented for illustrating the fixed point theorem of the generalized F-ts-contraction.
引用
收藏
页码:615 / 625
页数:11
相关论文
共 23 条
[1]   Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces [J].
Aghajani, Asadollah ;
Abbas, Mujahid ;
Roshan, Jamal Rezaei .
MATHEMATICA SLOVACA, 2014, 64 (04) :941-960
[2]   Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem [J].
Ali, Muhammad Usman ;
Kamran, Tayyab ;
Postolache, Mihai .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2017, 22 (01) :17-30
[3]  
Ansari QH, 2020, APPL ANAL, V99, P340, DOI 10.1080/00036811.2018.1495329
[4]   Fixed Point Results Using Ft-Contractions in Ordered Metric Spaces Having t-Property [J].
Aydi, Hassen ;
Rashid, Tawseef ;
Khan, Qamrul Haq ;
Mustafa, Zead ;
Jaradat, Mohammed M. M. .
SYMMETRY-BASEL, 2019, 11 (03)
[5]   A Monotone Bregan Projection Algorithm for Fixed Point and Equilibrium Problems in a Reflexive Banach Space [J].
Cho, Sun Young .
FILOMAT, 2020, 34 (05) :1487-1497
[6]  
Cho SY, 2020, J NONLINEAR CONVEX A, V21, P1017
[7]   Solvability of integrodifferential problems via fixed point theory in b-metric spaces [J].
Cosentino, Monica ;
Jleli, Mohamed ;
Samet, Bessem ;
Vetro, Calogero .
FIXED POINT THEORY AND APPLICATIONS, 2015,
[8]   On the Cauchy problem for a class of differential inclusions with applications [J].
Cubiotti, Paolo ;
Yao, Jen-Chih .
APPLICABLE ANALYSIS, 2020, 99 (14) :2543-2554
[9]   Qualitative properties of the minimum sum-of-squares clustering problem [J].
Cuong Tran Hung ;
Yao, Jen-Chih ;
Yen Nguyen Dong .
OPTIMIZATION, 2020, 69 (09) :2131-2154
[10]  
Czerwik S., 1993, ACTA MATH INF U OSTR, V1, P5