TY - JOUR
ID - 31846
T1 - $C$-class Functions and Common Fixed Point Theorems Satisfying $varphi $-weakly Contractive Conditions
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
A1 - Hojat Ansari, Arslan
A1 - Dosenovic, Tatjana
A1 - Radenovic, Stojan
A1 - Ume, Jeong Sheok
Y1 - 2019
PY - 2019/02/01
VL - 13
IS - 1
SP - 17
EP - 30
KW - Common fixed point
KW - $varphi $-weakly contractive conditions
KW - Complete metric space
KW - Weakly compatible mappings
KW - $C$-class function
DO - 10.22130/scma.2018.59792.211
N2 - In this paper, we discuss and extend some recent common fixed point results established by using $varphi-$weakly contractive mappings. A very important step in the development of the fixed point theory was given by A.H. Ansari by the introduction of a $C-$class function. Using $C-$class functions, we generalize some known fixed point results. This type of functions is a very important class of functions which contains almost all known type contraction starting from 1922. year, respectively from famous Banach contraction principle. Three common fixed point theorems for four mappings are presented. The obtained results generalizes several existing onesin literature.We finally propose three openĀ problems.
UR - http://scma.maragheh.ac.ir/article_31846.html
L1 - http://scma.maragheh.ac.ir/pdf_31846_d6c970ed6b5f3e0d466239bb147f4213.html
ER -