The $(\Psi ,\Phi )$-orthogonal interpolative contractions and an application to fractional differential equations

Allama Iqbal Open University Islamabad Pakistan, Khalil Javed, Muhammad Arshad


In this manuscript, we introduce the $(\Psi ,\Phi )$-orthogonal interpolative
contractions which generalize orthogonal interpolative contractions. We prove several fixed point theorems stating conditions under which $(\Psi ,\Phi )$-orthogonal interpolative contraction admits a fixed point. Our fixed point results are improvement of several known results in literature. As an application, we resolve a fractional differential equation.


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