49 research outputs found
Best proximity point theorems for 伪-nonexpansive mappings in Banach spaces
In this paper, we discuss sufficient and necessary conditions for the existence of best proximity points for non-self-a-nonexpansive mappings in Banach spaces. We obtain convergence results under some assumptions, and we prove the existence of common best proximity points for a family of non-self-a-nonexpansive mappings
Multivalued SK-contractions with respect to b-generalized pseudodistances
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 geometric property. Some new fixed
point results in b-metric spaces are also obtained. Examples are given to support the
usability of our main result
Optimal coincidence point results in partially ordered non-Archimedean fuzzy metric spaces
In this paper, we introduce best proximal contractions in complete ordered
non-Archimedean fuzzy metric space and obtain some proximal results. The obtained
results unify, extend, and generalize some comparable results in the existing literature.M De la Sen thanks the Spanish Ministry of Economy and Competitiveness for partial support of this work through Grant
DPI2012-30651. He also thanks the Basque Government for its support through Grant IT378-10, and the University of
Basque Country for its support through Grant UFI 11/07.http://link.springer.com/journal/11784am2016Mathematics and Applied Mathematic