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Plebaniak, Robert (5)
Gabeleh, Moosa (1)Włodarczyk, Kazimierz (1)Subjectfixed point (2)b-generalized pseudodistances (1)Best proximity (1)best proximity point (1)contraction of Banach type (1)fuzzy metric space (1)fuzzy metrics (1)fuzzy sets (1)generalized fuzzy metrics (1)J-complete quasi-pseudometric space (1)... View MoreDate Issued2014 (2)2015 (2)2016 (1)Has File(s)Yes (5)

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Multivalued SK-contractions with respect to b-generalized pseudodistances 

Plebaniak, Robert; Gabeleh, Moosa (Springer Basel, 2015-04-09)
A new class of multivalued non-self-mappings, called SK-contractions with respect to b-generalized pseudodistances, is introduced and used to investigate the existence of best proximity points by using an appropriate ...
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New generalized fuzzy metrics and fixed point theorem in fuzzy metric space 

Plebaniak, Robert (Springer, 2014-12-08)
In this paper, in fuzzy metric spaces (in the sense of Kramosil and Michalek (Kibernetika 11:336-344, 1957)) we introduce the concept of a generalized fuzzy metric which is the extension of a fuzzy metric. First, inspired ...
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On best proximity points for set-valued contractions of Nadler type with respect to b-generalized pseudodistances in b-metric spaces 

Plebaniak, Robert (Springer, 2014-02-14)
In this paper, in b-metric space, we introduce the concept of b-generalized pseudodistance which is an extension of the b-metric. Next, inspired by the ideas of Nadler (Pac. J. Math. 30:475-488, 1969) and Abkar and Gabeleh ...
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Dynamic Processes, Fixed Points, Endpoints, Asymmetric Structures, and Investigations Related to Caristi, Nadler, and Banach in Uniform Spaces 

Włodarczyk, Kazimierz; Plebaniak, Robert (Hindawi Publishing Corporation, 2015)
In uniform spaces (...) with symmetric structures determined by the D-families of pseudometrics which define uniformity in these spaces, the new symmetric and asymmetric structures determined by the J-families of generalized ...
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Best Proximity Point Theorem in Quasi-Pseudometric Spaces 

Plebaniak, Robert (Hindawi, 2016)
In quasi-pseudometric spaces (not necessarily sequentially complete), we continue the research on the quasi-generalized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with ...

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