Fejér monotonicity and fixed point theorems with applications to a nonlinear integral equation in complex valued Banach spaces

[EN] It is our purpose in this paper to prove some fixed point results and Fej´er monotonicity of some faster fixed point iterative sequences generated by some nonlinear operators satisfying rational inequality in complex valued Banach spaces. We prove that results in complex valued Banach spaces are valid in cone metric spaces with Banach algebras. Furthermore, we apply our results in solving certain mixed type VolterraFredholm functional nonlinear integral equation in complex valued Banach spaces.The first author’s research is supported by the Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan through grant number: ASSMS/2018-2019/452.Okeke, GA.; Abbas, M. (2020). Fejér monotonicity and fixed point theorems with applications to a nonlinear integral equation in complex valued Banach spaces. Applied General Topology. 21(1):135-158. https://doi.org/10.4995/agt.2020.12220OJS13515821