PPF Dependent Fixed Points of Generalized Weakly Contraction Maps Via $c_g-$simulation Functions

In this paper, we introduce the notion of generalized weakly $Z_{G,\alpha,\mu,\xi,\eta,\varphi}-$contraction maps with respect to the $C_G-$simulation function and prove the existence of PPF dependent fixed points of nonself maps in Banach spaces. For such maps, PPF dependent fixed points may not be unique. We provide an example to illustrate this phenomenon.

Keywords:

\alpha-admissible, \mu-subadmissible, C-class function, Razumikhin class, PPF dependent fixed point simulation function, C_G-simulation function,

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ISSN: 2667-7660
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2019
Yayıncı: Hüseyin ÇAKALLI

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