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[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.2020.12220 ; OJS ; 135 ; 158 ; 21 ; 1 ; M. Abbas and B. E. Rhoades, Fixed and periodic point results in cone metric spaces, Appl. Math. Lett. 22 (2009), 511-515. https://doi.org/10.1016/j.aml.2008.07.001 ; M. Abbas, V. C. Rajic, T. Nazir and S. Radenovic, Common fixed point of mappings satisfying rational inequalities in ordered complex valued generalized metric spaces, Afr. Mat. 2013, 14 pages. https://doi.org/10.1007/s13370-013-0185-z ; M. Abbas, M. Arshad and A. Azam, Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. 20 (2013), 213-221. https://doi.org/10.1515/gmj-2013-0013 ; M. Abbas and T. Nazir, A new faster iteration process applied to constrained minimization and feasibility problems, Mat. Vesn. 66 (2014), 223-234. ; M. Abbas, M. De la Sen and T. Nazir, Common fixed points of generalized cocyclic mappings in complex valued metric spaces, Discrete Dynamics in Nature and Society 2015, Article ID: 147303, 2015, 11 pages. https://doi.org/10.1155/2015/147303 ; W. M. Alfaqih, M. Imdad and F. Rouzkard, Unified common fixed point theorems in complex valued ...

135 158 21 1 ; OJS ; [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.2020.12220 M. Abbas and B. E. Rhoades, Fixed and periodic point results in cone metric spaces, Appl. Math. Lett. 22 (2009), 511-515. https://doi.org/10.1016/j.aml.2008.07.001 M. Abbas, V. C. Rajic, T. Nazir and S. Radenovic, Common fixed point of mappings satisfying rational inequalities in ordered complex valued generalized metric spaces, Afr. Mat. 2013, 14 pages. https://doi.org/10.1007/s13370-013-0185-z M. Abbas, M. Arshad and A. Azam, Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. 20 (2013), 213-221. https://doi.org/10.1515/gmj-2013-0013 M. Abbas and T. Nazir, A new faster iteration process applied to constrained minimization and feasibility problems, Mat. Vesn. 66 (2014), 223-234. M. Abbas, M. De la Sen and T. Nazir, Common fixed points of generalized cocyclic mappings in complex valued metric spaces, Discrete Dynamics in Nature and Society 2015, Article ID: 147303, 2015, 11 pages. https://doi.org/10.1155/2015/147303 W. M. Alfaqih, M. Imdad and F. Rouzkard, Unified common fixed point theorems in complex valued metric spaces via an ...

We propose two new iterative algorithms for solving K-pseudomonotone variational inequality problems in the framework of real Hilbert spaces. These newly proposed methods are obtained by combining the viscosity approximation algorithm, the Picard Mann algorithm and the inertial subgradient extragradient method. We establish some strong convergence theorems for our newly developed methods under certain restriction. Our results extend and improve several recently announced results. Furthermore, we give several numerical experiments to show that our proposed algorithms performs better in comparison with several existing methods. ; Basque Government ; http://www.mdpi.com/journal/axioms ; pm2020 ; Mathematics and Applied Mathematics