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Common fixed point theorems for occasionally weakly compatible maps. HAL: hal-00273238, version 1

By H. Bouhadjera and C. Godet-thobie


In this paper, we establish some common fixed point theorems for two pairs of occasionally weakly compatible single and set-valued maps satisfying a strict contractive condition in a metric space. Our results unify and extend many results existing in the literature including those of Aliouche [3], Bouhadjera [4] and Popa [18]-[23]. Also we establish another common fixed point theorem for four occasionally weakly compatible single and set-valued maps of Greguˇs type which improves the results of Djoudi and Nisse [5], Pathak et al. [16] and others and we end our work by giving another theorem which generalizes the results given by Elamrani and Mehdaoui [6], Mbarki [13] and references therein. Key words and phrases: Occasionally weakly compatible maps, weakly compatible maps, compatible and compatible maps of type (A), (B), (C) and (P), implicit relation, common fixed point theorem, Greguˇs type, strict contractive condition, metric space. 2000 Mathematics Subject Classification: 47H10, 54H25. 1 Introduction an

Year: 2014
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