| Summary: | In this paper, by characterizing a weak contractive condition based on using <inline-formula> <math display="inline"> <semantics> <mrow> <mi>C</mi> <mo>−</mo> </mrow> </semantics> </math> </inline-formula>functions and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>α</mi> <mo>−</mo> </mrow> </semantics> </math> </inline-formula>admissible multi-valued mapping of type <i>S</i>, we present some fixed point results for <inline-formula> <math display="inline"> <semantics> <mrow> <mo stretchy="false">(</mo> <mi>α</mi> <mo>,</mo> <mi>F</mi> <mo stretchy="false">)</mo> <mo>−</mo> </mrow> </semantics> </math> </inline-formula>admissible multi-valued mappings in the setting of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>b</mi> <mo>−</mo> </mrow> </semantics> </math> </inline-formula>metric spaces. Some examples and an application are added in order to show the reliability of our obtained results. Our results amend, unify, and generalize some existing results in the literature. The scientific novelty of our main results is to take new contraction self-mappings in <inline-formula> <math display="inline"> <semantics> <mrow> <mi>b</mi> <mo>−</mo> </mrow> </semantics> </math> </inline-formula>metric spaces for multi-valued mappings.
|
|---|