Title of article :
Fixed point theorem for F-contraction mappings in partial symmetric space with some applications to chemical reactor integral equations
Author/Authors :
Wangwe ، Lucas Department of Mathematics - College of Science and Technical Education - Mbeya University of Science and Technology , Kumar ، Santosh Department of Mathematics - College of Natural and Applied Sciences - University of Dar es Salaam
Abstract :
This paper proves a fixed point theorem for F-contraction mappings in partial symmetric spaces. In doing so, we extended and generalized the results in the literature by employing a rational-type contraction condition. We also provided an illustrative example to support the results. Finally, we demonstrate the results by the applications to Volterra integral equation inclusion and chemical reactor integral equations.
Keywords :
Fixed point , partial symmetric space , F , contraction mapping , Integral equation
Journal title :
International Journal of Nonlinear Analysis and Applications
Journal title :
International Journal of Nonlinear Analysis and Applications