A GENERAL COINCIDENCE THEOREM FOR COMPATIBLE MULTIVALUED MAPPINGS SATISFYING AN IMPLICIT RELATION

By Valeriu Popa. 2000

87 citations recorded by the source corpus.

It is well known that ( C B ( X ) , H) is a metric space and the completeness of (X,d) implies the completeness of ( C B ( X ) , H ) . Let A, B € CB(X) and k > 1. In the sequel the following well known fact will be used [4]: for each a € A, there is 6 € B such that d(a, b) < kH(A, B). Let 5 and T be two self mappings of a metric space (X,d). Sessa [5] defines 5 and T to be weakly commuting if d(STx,TSx) < d(Tx,Sx) for all x in X. Jungck [2] defines S and T to be compatible if

Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/15e0b278e889531fd9bfe934da4e3e482a62d653

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Citations in the corpus

• A Fixed Point Theorem in Fuzzy Metric Spaces (2007, background): “Recently, many authors have proved fixed point theorems involving fuzzy sets [1,2,4-6,8-10,14,16-19].”
• SOME FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS SATISFYING AN IMPLICIT RELATION (2009, unknown): “(see [3, 8, 19, 20, 29]).”