Abstract
In this study, we introduce set-valued Prešić type almost contractive mapping, Prešić type almost F-contractive mapping and set-valued Prešić type almost F-contractive mapping in metric space and prove some fixed point results for these mappings. Additionally, we give examples to show that our main theorems are applicable. These examples show that the new class of set-valued Prešić type almost F-contractive operators is not included in Prešić type class of set-valued Prešić type almost contractive operators.
Highlights
Banach [1] introduced a famous fundamental fixed point theorem, known as the Banach contraction principle
We give a fixed point theorem for set-valued Prešić type almost contractive mapping
We introduce Prešić type almost F-contractive mapping and set-valued Prešić type almost F-contractive mapping in metric space and prove some fixed point results for these mappings
Summary
Banach [1] introduced a famous fundamental fixed point theorem, known as the Banach contraction principle. [15] Let pX, dq be a complete metric spaces, M : X Ñ CBpXq be a set-valued almost contraction, which is, there exist two constants δ P p0, 1q and L ě 0, such that Introduced set-valued F-contraction mappings and fixed point result for these type mappings on complete metric space was given as: Definition 2.
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