TY - EJOU
AU - Shatanawi, Wasfi
AU - Bataihah, Anwar
AU - Tallafha, Abdalla
TI - Four-Step Iteration Scheme to Approximate Fixed Point for Weak Contractions
T2 - Computers, Materials \& Continua
PY - 2020
VL - 64
IS - 3
SN - 1546-2226
AB - Fixed point theory is one of the most important subjects in the setting of metric
spaces since fixed point theorems can be used to determine the existence and the
uniqueness of solutions of such mathematical problems. It is known that many problems in
applied sciences and engineering can be formulated as functional equations. Such equations
can be transferred to fixed point theorems in an easy manner. Moreover, we use the fixed
point theory to prove the existence and uniqueness of solutions of such integral and
differential equations. Let *X* be a non-empty set. A fixed point for a self-mapping *T* on *X* is
a point
KW - Weak contraction
KW - fixed point
KW - iteration scheme
KW - mean value theorem
DO - 10.32604/cmc.2020.010365