The generalized Banach contraction conjecture in b-metric spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0489-6
Abstract: Using some combinatorial arguments and, in particular, the pigeonhole principle, we prove that the generalized Banach contraction conjecture in b-metric spaces is true if every b-metric space (X, D, K) is a metric-type space and $$M \in… read more here.
Keywords: banach contraction; contraction conjecture; metric spaces; conjecture metric ... See more keywords
Banach’s Contraction Principle for Nonlinear Contraction Mappings in Modular Metric Spaces
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DOI: 10.1007/s40840-016-0387-2
Abstract: The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper we investigate some fixed-point theorems… read more here.
Keywords: modular metric; banach contraction; metric spaces; principle nonlinear ... See more keywords
On Banach contraction principles in fuzzy metric spaces
Sign Up to like & getrecommendations! Published in 2018 at "Fixed Point Theory"
DOI: 10.24193/fpt-ro.2018.1.19
Abstract: Valent´in Gregori acknowledges the support of Ministry of Economy and Competitiveness of Spain under grant MTM MTM2015-64373-P. Almanzor Sapena acknowledges the support of Ministry of Economy and Competitiveness of Spain under grant TEC2013-45492-R. read more here.
Keywords: contraction principles; fuzzy metric; banach contraction; metric spaces ... See more keywords