LetK be a closed convex subset of a real Banach space E, T : K → K is continuous pseudocontractive mapping, and f : K → K is a fixed L-Lipschitzian strongly pseudocontractive mapping. For any t ∈ (0,1), let xt be the unique fixed point of t f + (1− t)T . We prove that if T has a fixed point and E has uniformly Gâteaux differentiable norm, such that every nonempty closed bounded convex subset of...

*Correspondence: [email protected] 2Basic Experimental & Teaching Center, Henan University, Kaifeng, 475000, China Full list of author information is available at the end of the article Abstract In this article, a mean iterative algorithm is investigated for finding a common element in the solution set of generalized equilibrium problems and in the fixed point set of strictly pseudocontractive ma...

This paper is concerned with a common element of the set of common fixed points for two infinite families of strictly pseudocontractive mappings and the set of solutions of a system of cocoercive quasivariational inclusions problems in Hilbert spaces. The strong convergence theorem for the above two sets is obtained by a novel general iterative scheme based on the viscosity approximation method...

‎A new approximation method for the set of common fixed points of‎ ‎nonexpansive mappings and the set of solutions of systems of‎ ‎variational inequalities is introduced and studied‎. ‎Moreover‎, ‎we‎ ‎apply our main result to obtain strong convergence theorem to a‎ ‎common fixed point of a nonexpannsive mapping and solutions of ‎a ‎system of variational inequalities of an inverse strongly mono...

In this article, we introduce a hybrid iteration involving inertial-term for split equilibrium problem and fixed point finite family of asymptotically strictly pseudocontractive mappings. We prove that the sequence converges strongly to solution common The results proved extend improve recent Chang et al. [S. S. Chang, H. W. J. Lee, C. K. Chan, L. Wang, Qin, Appl. Math. Comput., \(\bf 219\) (20...

In this paper, we aimed to introduce a new viscosity-type approximation method for finding the common fixed point of class quasi-pseudocontractive mapping and system monotone inclusion problems in CAT(0) spaces. We proved some fixed-point properties concerning spaces, which is more general than many other mappings such as nonexpansive, quasi-nonexpansive, pseudocontractive demicontractive have ...