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Keywords:
metric space; fixed point; $F$-contraction; $\alpha $-$\eta $-$GF$-contraction of Hardy-Rogers-type
metric space; fixed point; $F$-contraction; $\alpha $-$\eta $-$GF$-contraction of Hardy-Rogers-type
Summary:
The aim of this paper is to introduce some new fixed point results of Hardy-Rogers-type for $\alpha $-$\eta $-$GF$-contraction in a complete metric space. We extend the concept of $F$-contraction into an $\alpha $-$\eta $-$GF$-contraction of Hardy-Rogers-type. An example has been constructed to demonstrate the novelty of our results.
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