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This paper introduces the concept of - quasi metric-like space and delves into some topological properties of it. A necessary and sufficient condition related to equivalent Cauchy sequences and Cauchy sequences in have been proved. Furthermore, the results of the fixed point are shown in the setting of - quasi metric-like space as applications of conditions of equivalent Cauchy sequences. Besides, some instances are inclined to epitomize the examined consequences.

journal of mathematics

Equivalent Cauchy Sequences in <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mfenced open="(" close=")" separators="|"> <mrow> <msub> <mrow> <mi>q</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>q</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </mfenced> </math>-Quasi Metric-Like Space and Applications to Fixed-Point Theory

Equivalent Cauchy Sequences in q 1 , q 2 -Quasi Metric-Like Space and Applications to Fixed-Point Theory

Equivalent Cauchy Sequences in $(q_{1}, q_{2})$ -Quasi Metric-Like Space and Applications to Fixed-Point Theory