TY - JOUR
ID - 31846
TI - $C$-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
AU - Hojat Ansari, Arslan
AU - Dosenovic, Tatjana
AU - Radenovic, Stojan
AU - Ume, Jeong Sheok
AD - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
AD - Faculty of Technology, Bulevar cara Lazara 1, University of Novi Sad, Serbia.
AD - Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia.
AD - Department of Mathematics, Changwon National University, Changwon, 641-773, Korea.
Y1 - 2019
PY - 2019
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/article_31846_d6c970ed6b5f3e0d466239bb147f4213.pdf
ER -