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Multivalued SK-contractions with respect to b-generalized pseudodistances
Plebaniak, Robert 
; (Springer Basel, 2015-04-09)
; (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 ...
New generalized fuzzy metrics and fixed point theorem in fuzzy metric space
Plebaniak, Robert (Springer, 2014-12-08)
(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 ...
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)
(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 ...
Dynamic Processes, Fixed Points, Endpoints, Asymmetric Structures, and Investigations Related to Caristi, Nadler, and Banach in Uniform Spaces
; Plebaniak, Robert (Hindawi Publishing Corporation, 2015)
(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 ...
Best Proximity Point Theorem in Quasi-Pseudometric Spaces
Plebaniak, Robert (Hindawi, 2016)
(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 ...