Fixed point Theorems of Multivalued Mappings of Integral Type contraction in Cone Metric Space and its Applications
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Keywords:
Cone metric space, Multivalued mappings, Fixed point, Integral type contractionAbstract
In this research, we use integral type contraction requirements to learning the existence of fixed points for multivalued mappings in the context of cone metric spaces. Cone metric spaces are a generalization of conventional metric spaces that provide a more comprehensive framework for solving challenging issues in fixed point theory by exchanging an ordered Banach space aimed at the real number set. Multivalued mappings pose special difficulties in locating fixed points since they provide each input several outputs. In order to tackle this, we present integral type contraction conditions, which offer a broadened contractive structure that encompasses a variety of non-linear behaviors. This study's main contribution is the construction of novel fixed point theorems over multivalued mappings given these integral type conditions of use, which broadens the application of previously published fixed point results.
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