Subordinate Semimetric Spaces and Fixed Point Theorems
Keyword(s):
We introduce the concept of subordinate semimetric space. Such notion includes the concept of RS-space introduced by Roldán and Shahzad; therefore the concepts of Branciari’s generalized metric space and Jleli and Samet’s generalized metric space are particular cases. For such spaces we prove a version of Matkowski’s fixed point theorem, and introducing the concept of q-contraction we get a fixed point theorem of Kannan-Ćirić type. Moreover, using such result we characterize complete subordinate semimetric spaces.
2016 ◽
Vol 10
(02)
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pp. 1750030
2019 ◽
Vol 13
(6)
◽
pp. 263-274
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Keyword(s):
2013 ◽
Vol 2013
(1)
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2019 ◽
Vol 14
(3)
◽
pp. 107-114
2013 ◽
Vol 671-674
◽
pp. 1628-1631
Keyword(s):
2020 ◽
Vol 2020
◽
pp. 1-8
Keyword(s):