NDLI: Relation-theoretic contraction principle

Content Provider	Springer Nature Link
Author	Alam, Aftab Imdad, Mohammad
Copyright Year	2015
Abstract	In this paper, we present yet another new and novel variant of classical Banach contraction principle on a complete metric space endowed with a binary relation which, under universal relation, reduces to Banach contraction principle. In process, we observe that various kinds of binary relations, such as partial order, preorder, transitive relation, tolerance, strict order, symmetric closure, etc., utilized by earlier authors in several well-known metrical fixed point theorems can be weakened to the extent of an arbitrary binary relation.
Starting Page	693
Ending Page	702
Page Count	10
File Format	PDF
ISSN	16617738
Journal	Journal of Fixed Point Theory and Applications
Volume Number	17
Issue Number	4
e-ISSN	16617746
Language	English
Publisher	Springer Basel
Publisher Date	2015-07-15
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Complete metric spaces binary relations contraction mappings Fixed-point theorems Fixed-point and coincidence theorems Mathematics Analysis Mathematical Methods in Physics
Content Type	Text
Resource Type	Article
Subject	Geometry and Topology Applied Mathematics Modeling and Simulation

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Relation-theoretic contraction principle