Variants of the New Caristi Theorem

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:7 Issue:2
Variants of the New Caristi Theorem

Variants of the New Caristi Theorem

Pages : 348-361

View : 55 | Download : 78

Publication Date : 2023-07-23

Article Type : Research Paper

Abstract :The well-known Caristi fixed point theorem has numerous generalizations and modifications. Recently there have appeared its equivalent dual forms and generalizations based on new concept of lower semicontinuity from above by several authors. In the present article, we give new proofs of such new versions and their equivalent formulations by applying our Metatheorem in the ordered fixed point theory.
Keywords : Caristi, Ekeland, fixed point, preorder, metric space, stationary point, maximal element, lower semicontinuity from above

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