Fixed point theory for generalized'-weak contractions

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Common fixed points for Ćirić type $f$-weak contraction with applications (2010, background): “In fact, weakly contractive mappings are closely related to maps of Boyd and Wong type ones [9] and Reich’s type ones [30] (see [32], [34]).”
Common fixed points for multivalued generalized contractions on partial metric spaces (2014, background): “1 of Rouhani and Moradi [31], which is itself an extension of Zhang and Song’s theorem [34] to the case where one of the mappings is multivalued.”
SOME RESULTS ON WEAKLY CONTRACTIVE MAPS (2012, background): “[18] Let (X, d) be a complete metric space, and f, g : X → X two mappings such that for all x, y ∈ X d(fx, gy) ≤ m(x, y)− φ(m(x, y)), where φ ∈ Φ, and m(x, y) = maxN4 f,g(x, y).”
Common Fixed Point of Multivalued Generalized -Weak Contractive Mappings (2010, result): “Our results extend previous results by Zhang and Song 2009 , as well as by Rhoades 2001 , Nadler 1969 , and Daffer and Kaneko 1995 .”