Well-posedness and common fixed points for two pairs of maps using weak contractivity

Demonstratio mathematica

article

Mohamed Akkouchi¹ 

[1] Université Cadi Ayyad, Faculté des Sciences-Semlalia, Département de Mathématiques

关键词: coincidence points;    common fixed points for four self-mappings;    ϕ-weak contractions;    weak compatible mappings;    well-posed common fixed point problem for a set of mappings;   

DOI  :  10.1515/dema-2013-0449

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In 2006, I. Beg and M. Abbas have studied the existence of coincidence and common fixed points for two mappings satisfying a weak contractive condition. Their results were extended in 2008 by A. Azam and M. Shakeel to the case of three mappings. Recently M. Abbas and D. Dorić employed the contractive conditions introduced in [Q. Zhang and Y. Song, Fixed point theory for generalized ϕ -weak contraction, Appl. Math. Lett. 22(2009), 75-78] and [D. Dorić, Common fixed point for generalized ( ψ , ϕ )-weak contractions, Appl. Math. Lett. 22 (2009), 1896–1900] to prove a common fixed point theorem for four mappings satisfying generalized weak contractive condition (see Filomat 24:2 (2010), 1–10). In this paper, we generalize this theorem by using the concept of common property (E.A). Our result generalizes and unifies several existing results involving generalized weak contractive conditions. We study also well-posedness of a related fixed point problem.

【 授权许可】

CC BY