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Fixed‐point theorem for a generalized almost Hardy‐Rogers‐type F contraction on metric‐like spaces
Author(s) -
Saipara Plern,
Khammahawong Konrawut,
Kumam Poom
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5793
Subject(s) - mathematics , fixed point theorem , metric space , contraction (grammar) , contraction mapping , type (biology) , contraction principle , differential equation , fixed point , mathematical analysis , pure mathematics , discrete mathematics , medicine , ecology , biology
In this paper, we introduce some fixed‐point theorems for a generalized almost Hardy‐Rogers‐type F contraction in a metric‐like space and give an example to illustrate these main results. Moreover, we show the applications of electric circuit equations, second‐order differential equations, and fractional differential equations. Our results improve, generalize, and extend the corresponding results in literature.