100 research outputs found
Best approximation and fixed points in strong M
We introduced strong M-starshaped metric spaces. For these spaces, we obtained
two fixed-point theorems generalizing a result of W. G. Dotson, and two theorems extending and
subsuming several known results on the existence of fixed points of best approximation
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
Best proximity point theorems for weakly contractive mapping and weakly Kannan mapping in partial metric spaces
Some common fixed point and invariant approximation results for nonexpansive mappings in convex metric space
Some common fixed-point and invariant approximation results with generalized almost contractions
Best proximity point theorems for α-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
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