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

Autor: Godwin Amechi Okeke, Mujahid Abbas
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Applied General Topology, Vol 21, Iss 1, Pp 135-158 (2020)
Druh dokumentu: article
ISSN: 1576-9402
1989-4147
DOI: 10.4995/agt.2020.12220
Popis: 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.
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