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We introduce the notion of a parametric S-metric space as generalization of a parametric metric space. Using some expansive mappings, we prove a fixed-point theorem on a parametric S-metric space. It is important to obtain new fixed-point theorems on a parametric S-metric space because there exist some parametric S-metrics which are not generated by any parametric metric. We expect that many mathematicians will study various fixed-point theorems using new expansive mappings (or contractive mappings) in a parametric S-metric space

journal of mathematics

On Parametric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:math>-Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings

On ParametricS-Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings