FIXED POINT THEOREMS FOR SET-VALUED MAPS IN QUASI-METRIC SPACES

Abstract

In this paper, we introduce the concept of generalized weak contractivity for set-valued maps defined on quasi metric spaces. We analyze the existence of fixed points for generalized weakly contractive set-valued maps. And we have Nadler's fixed point theorem and Banach's fixed point theorem in quasi metric spaces. We investigate the convergene of iterate schem of the form xn+1 ∈ F xn with error estimates.

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.