Open AccessSome metrical $\varphi$-fixed point results of Wardowski type with applications to integral equations
Author(s) -
Hayel N. Saleh,
Mohammad Imdad,
Waleed M. Alfaqih
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.47888
Subject(s) - mathematics , uniqueness , metric space , type (biology) , fixed point theorem , pure mathematics , fixed point , contraction (grammar) , mathematical analysis , discrete mathematics , medicine , ecology , biology
In this article, we define the concepts of $(\mathcal{F}^*,\varphi)$-contraction and $(\mathcal{F}^*,\varphi)$-expansion mappings in metric spaces and utilize the same to prove some $\varphi$-fixed point theorems for this kind of mappings. The obtained results used to present some results in partial metric spaces. Also, employing our newly results, we examine the existence and uniqueness of solution for integral equations. Furthermore supported example is provided.