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In this paper, we introduce the concept of αc-admissible non-self mappings and prove the existence and convergence of the past-present-future (briefly, PPF) dependent fixed point theorems for such mappings in the Razumikhin class. We use these results to prove the PPF dependent fixed point of Bernfeld et al. (Appl. Anal. 6:271-280, 1977) and also apply our results to PPF dependent coincidence point theorems.

fixed point theory and applications

PPF dependent fixed point theorems for an "Equation missing" -admissible non-self mapping in the Razumikhin class

PPF dependent fixed point theorems for an "Equation missing" -admissible non-self mapping in the Razumikhin class