Abstract
In this paper, we first consider Nadler type contractions with the generalized Lipschitz constant k holding r(k)<1 instead of r(sk)<1 where r(k) is the spectral radius of k and s≥1 is the coefficient of the underlying cone b-metric spaces over Banach algebras. Then, we prove the corresponding fixed point theorem for such mappings. Finally, we compare our result with one obtained by the case r(sk)<1 by introducing some proper examples.
Keywords
Mathematics
Lipschitz continuity
Cone (formal languages)
Type (biology)
Fixed-point theorem
Pure mathematics
Banach space
Metric space
Generalization
Metric differential
Mathematical analysis
Discrete mathematics
Convex metric space
Metric map
Subject Areas
Fixed Point Theorems Analysis
·Geometry and Topology ·Physical Sciences
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