Common Fixed Point of Multivalued Generalized -Weak Contractive Mappings

By Behzad Djafari Rouhani, Sirous Moradi. 2010

67 citations recorded by the source corpus.

Fixed point and coincidence results are presented for multivalued generalized -weak contractive mappings on complete metric spaces, where is a lower semicontinuous function with and for all . Our results extend previous results by Zhang and Song (2009), as well as by Rhoades (2001), Nadler (1969), and Daffer and Kaneko (1995).

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9dc2e79acefbb3f77efca6eba99e6ea1db1a2269

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In Computational Theory and Mathematics

In Geometry and Topology

Citations in the corpus

SOME RESULTS ON WEAKLY CONTRACTIVE MAPS (2012, background): “Some other works related to the concept of weak contractions are [1, 5, 9, 14].”
Common fixed points for multivalued generalized contractions on partial metric spaces (2014, methodology): “For x = 0 and y = 1, we have H D ({T (0)}, S(1)) = H D ({0}, [ 1 4 , 1 3 ]) = 1 > 3 8 = 1 − ϕ(1) = M (0, 1) − ϕ(M (0, 1)), that is, we couldn't apply Theorem 4.1 of Rouhani and Moradi [31].”
Fixed points of generalized α-ψ-contractions (2014, background): “Now, by using themain idea of [14], we introduce a new notion.”