New Results Concerned with Fixed Point Theory in Controlled Metric Spaces
Abstract
This paper introduces a new sufficient condition for Cauchyness on sequences in controlled metric spaces. This sufficient condition can improve many pre-existing fixed point results under weaker hypotheses. Applying this sufficient condition, I establish some fixed point theorems involving nonlinear Ćirić type contraction via control functions in controlled metric spaces and present numerical examples to show the validity
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Copyright (c) 2025 Chol Jin Kil
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