Iterative sequences with errors for generalized contractive mappings in metric spaces

Abstract

Many mathematicians studied the convergence theorem of iterative sequence with errors in Banach space and in Hilbert space. In 2004, Liu Qihou defined the iterative sequence with errors in metric spaces. In this paper, the article mainly discusses the convergence of iterative sequence with errors for extended contractive mappings in metric space. The result improves and extends the known results.