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On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points
De la Sen Parte, Manuel 
; Roldan, Antonio F.; Agarwal, Ravi P. (Springer International Publishing, 2015-07-02)
; Roldan, Antonio F.; Agarwal, Ravi P. (Springer International Publishing, 2015-07-02)
This paper investigates some properties of cyclic fuzzy maps in metric spaces. The convergence of distances as well as that of sequences being generated as iterates defined by a class of contractive cyclic fuzzy mapping ...
Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets
De la Sen Parte, Manuel ; Agarwal, Ravi P.; Ibeas Hernández, Asier (Springer International Publishing, 2014-07-18)
; Agarwal, Ravi P.; Ibeas Hernández, Asier (Springer International Publishing, 2014-07-18)
This paper presents some further results on proximal and asymptotic proximal contractions and on a class of generalized weak proximal contractions in metric spaces. The generalizations are stated for non-self-mappings of ...