PPF Dependent Fixed Point Theorem for $(\alpha - \psi)-$contractive Mappings in Banach Spaces
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Keywords:
Razumikhin class, PPF dependent point, fixed point, Banach spacesAbstract
We prove the existence of the PPF dependent fixed point theorems in the Razumikhin class for a pair of mappings satisfying $(\alpha - \psi)-$ contractive conditions in Banach spaces where the domains and ranges of the mappings are not the same. We also prove the existence of the PPF dependent common fixed point theorems and the PPF dependent coincidence points theorems. Our results extend and generalize the results of [2-4] and references therein.
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