Common fixed point theorems for pairs of subcompatible maps

2009/06/17 by Hakima Bouhadjera, Bouhadjera, Hakima, Christiane Godet-Thobie +1
Mathematics · #Fixed Point Theorems Analysis #math.FA

paper · pdf · doi:10.48550/arxiv.0906.3159

arxiv created 2011/05/23 · arxiv updated 2011/05/24

Abstract

In this paper, we introduce the new concepts of subcompatibility and subsequential continuity which are respectively weaker than occasionally weak compatibilty and reciprocal continuity. With them, we establish several common fixed point theorems which extend corresponding results of Jungck and Rhoades (2006), Djoudi and Nisse (2003) and Mbarki (2002).

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