Common fixed point theorems under Pata’s contraction in complex valued metric spaces and an application to integral equations

被引:0
作者
Khaled Berrah
Abdelkrim Aliouche
Takieddine Ousseif
机构
[1] Larbi ben M’hidi University,Department of Mathematics and Computer and Science
来源
Boletín de la Sociedad Matemática Mexicana | 2020年 / 26卷
关键词
Pata contraction type; Weakly compatible; Integral equations; Complex valued metric space; 46-XX;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we prove common fixed point theorems under Pata’s condition in complex valued metric spaces and we apply our main theorem to establish the existence and the uniqueness of a common solution of a system of Urysohn integral equations.
引用
收藏
页码:647 / 656
页数:9
相关论文
共 19 条
  • [1] Abbas M(2008)Common fixed point results for noncommuting mappings without continuity in cone metric spaces J. Math. Anal. Appl. 341 416-420
  • [2] Jungck G(2011)Boyd-Wong-type common fixed point results in cone metric spaces Appl. Math. Comput. 217 7167-7171
  • [3] Arandjelovic I(2011)Common fixed point theorems in complex valued metric spaces Numer. Funct. Anal. Optim. 32 243-253
  • [4] Kadelburg Z(1922)Sur les operations dans les ensembles abstraits et leur application aux equations integrales. Fund. Math. 3 133-181
  • [5] Radenovic S(1996)Common fixed points for noncontinuous nonself maps on nonmetric spaces Far East J. Math. Sci. 4 199-215
  • [6] Azam A(2016)Fixed point theorems under pata-type conditions in metric spaces J. Egypt. Math. Soc. 24 77-82
  • [7] Fisher B(2014)Fixed point theorems for weakly t-chatterjea and weakly t-kannan contractions in b-metric spaces J. Inequal. Appl. 2014 46-305
  • [8] Khan M(2011)A fixed point theorem in metric spaces J. Fixed Point Theory Appl. 10 299-45
  • [9] Banach S(2013)Some fixed point theorems for weakly t-chatterjea and weakly t-kannan-contractive mappings in complete metric spaces Russ. Math. 57 38-undefined
  • [10] Jungck G(undefined)undefined undefined undefined undefined-undefined