Fixed Point Results in Modular S-Metric Space
B. Y. Aiyetan *
Department of Mathematics, Federal University Oye-Ekiti, Ekiti, Nigeria.
K. Rauf
Department of Mathematical, University of Ilorin, Ilorin, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this work, some definitions, properties and propositions in modular S-metric space were given, existence, uniqueness and coincidence point of a fixed point results in the space were also provided using some general contractive conditions defined in modular S-metric space settings. Our results shows that existence and uniqueness of [L, ϕ] contraction is possible and also the coincidence of a fixed point for a specific rational contraction can be determined which improves on some results in the literature.
Keywords: Modular S-metric space, coincidence point, modular convergent, modular cauchy