Convex contractions of order m on complete suprametric spaces guarantee a fixed point but not continuity at it; k-continuity or orbital lower semi-continuity works instead, solving Rhoades' problem and extending Sehgal, Ćirić, and Fisher quasi-contractions.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GM 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Discontinuity at the fixed point in suprametric spaces
Convex contractions of order m on complete suprametric spaces guarantee a fixed point but not continuity at it; k-continuity or orbital lower semi-continuity works instead, solving Rhoades' problem and extending Sehgal, Ćirić, and Fisher quasi-contractions.