In this paper, we introduce two hybrid iterative algorithms of Jungck-Kirk- Mann （J-K-M） and Jungck-Kirk （J-K） types to obtain some stability results for non- selfmappings by employing a certain general contractiv...In this paper, we introduce two hybrid iterative algorithms of Jungck-Kirk- Mann （J-K-M） and Jungck-Kirk （J-K） types to obtain some stability results for non- selfmappings by employing a certain general contractive condition. Our results generalize and extend most of the existing ones in the literature.展开更多
In this paper, a modified implicit Kirk-multistep iteration scheme and a strong convergence result for a general class of maps in a normed linear space was established. It was also shown that the convergence of this i...In this paper, a modified implicit Kirk-multistep iteration scheme and a strong convergence result for a general class of maps in a normed linear space was established. It was also shown that the convergence of this iteration scheme is equivalent to the convergency of some other implicit Kirk-type iteration (implicit Kirk-Noor, implicit Kirk-Ishikawa and implicit Kirk-Mann iterations) for the same class of maps. Some numerical examples were considered to show that the equivalence of convergence results to the fixed point is true. The results unify most equivalence results in literature.展开更多
文摘In this paper, we introduce two hybrid iterative algorithms of Jungck-Kirk- Mann （J-K-M） and Jungck-Kirk （J-K） types to obtain some stability results for non- selfmappings by employing a certain general contractive condition. Our results generalize and extend most of the existing ones in the literature.
文摘In this paper, a modified implicit Kirk-multistep iteration scheme and a strong convergence result for a general class of maps in a normed linear space was established. It was also shown that the convergence of this iteration scheme is equivalent to the convergency of some other implicit Kirk-type iteration (implicit Kirk-Noor, implicit Kirk-Ishikawa and implicit Kirk-Mann iterations) for the same class of maps. Some numerical examples were considered to show that the equivalence of convergence results to the fixed point is true. The results unify most equivalence results in literature.
