Caristi-Type Fixed-Point Theorems in the Framework w-Distances

Authors

DOI:

https://doi.org/10.37256/cm.5120242584

Keywords:

Caristi's fixed point theorem, w-distance, weakly orbitally continuous mapping, k-continuous mapping

Abstract

The aim of this paper is to generalize Caristi’s theorem, Bollenbacher and Hicks’ theorem, and also Hicks and Rhoades’ theorem by substituting the continuity assumption with relatively weaker conditions of k-continuity or (C; k) condition in a complete metric space with a w-distance. Another proof for Caristi’s theorem using Zorn’s lemma will be given. Some examples will confirm the novelty and usefulness of our results.

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Published

2024-03-08

How to Cite

1.
Zakeri M, Sahleh A, Lakzian H, Rakočević V. Caristi-Type Fixed-Point Theorems in the Framework w-Distances. Contemp. Math. [Internet]. 2024 Mar. 8 [cited 2024 Oct. 14];5(1):635-44. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2584