subordinate semimetric spaces and fixed point theorems
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ID: 176102
2018
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Abstract
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.
| Reference Key |
villa-morales2018journalsubordinate
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|---|---|
| Authors | ;José Villa-Morales |
| Journal | molecular imaging and radionuclide therapy |
| Year | 2018 |
| DOI |
10.1155/2018/7856594
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