TY - JOUR
T1 - Interpolative Contractive Results for m-Metric Spaces
AU - Khan, Safeer Hussain
AU - Raza, Ali
PY - 2023/7/23
Y1 - 2023/7/23
N2 - In this paper, we initiate the study of fixed points for interpolative mappings in m-metric spaces. We discuss three different cases: the sum of “interpolative exponents" is less than, equal to or greater than 1. We support each of our result by examples in m-metric spaces. In the last section, we obtain our results in p-metric spaces. Finally we note that our results generalize results of [3], [4] and [5] from ordinary metric to m-and p-metrics.
AB - In this paper, we initiate the study of fixed points for interpolative mappings in m-metric spaces. We discuss three different cases: the sum of “interpolative exponents" is less than, equal to or greater than 1. We support each of our result by examples in m-metric spaces. In the last section, we obtain our results in p-metric spaces. Finally we note that our results generalize results of [3], [4] and [5] from ordinary metric to m-and p-metrics.
KW - Fixed point
KW - Interpolative contractions
KW - m-metric p-metric
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85167395966&origin=inward
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U2 - 10.31197/atnaa.1220114
DO - 10.31197/atnaa.1220114
M3 - Article
SN - 2587-2648
VL - 7
SP - 336
EP - 347
JO - Advances in the Theory of Nonlinear Analysis and its Applications
JF - Advances in the Theory of Nonlinear Analysis and its Applications
IS - 2
ER -