In this paper, we introduce a new intermixed algorithm and prove a strong convergence theorem for approximating individual fixed point of two strictly pseudocontractive mappings T and U in a q-uniformly smooth Banach space which admits a weakly sequentially continuous duality mapping jp: As a special case of the intermixed algorithm, we obtain an approximate common fixed point of two strictly pseudocontractive mappings and also applied our result to approximate a solution of an integral equation of Hammerstein type. Our results improve, complement and extend many recent results in literature.
|Number of pages||15|
|Publication status||Published - 2019|
- Fixed point problem
- Intermixed algorithm
- Q-uniformly smooth Banach space
- Strictly pseudocontractive mappings
- Sunny nonexpansive retraction