Modified block iterative procedure for solving the common solution of fixed point problems for two countable families of total quasi-φ-asymptotically nonexpansive mappings with applications
نویسندگان
چکیده
In this paper, we introduce a new iterative procedure which is constructed by the modified block hybrid projection method for solving a common solution of fixed point problems for two countable families of uniformly total quasi-φ-asymptotically nonexpansive and uniformly Lipschitz continuous mappings. Under suitable conditions, some strong convergence theorems are established in a uniformly smooth and strictly convex Banach space with the Kadec-Klee property. Finally, we apply the problem of a strong convergence theorem concerning maximal monotone operators in Banach spaces. MSC: 47H09; 47H10; 47H20; 47J20
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