Arbitrary binary relations, contraction mappings and $b$-metric spaces
Анотація
УДК 517.9
Доведено деякі результати про існування та єдиність нерухомих точок на $b$-метричних просторах, що наділені довільним бінарним відношенням. В якості застосувань отримано деякі твердження про точки збігу для пар відображень. Ці результати узагальнюють, розширюють, модифікують та уніфікують деякі відомі результати Alam i Imdad [J. Fixed Point Theory and Appl., 17, 693–702 (2015)]; Fixed Point Theory, 18, 415–432 (2017); Filomat, 31, 4421–,4439 (2017)] та Berzig [J. Fixed Point Theory and Appl., 12, 221–238 (2012)]. Також наведено приклад для ілюстрації застосовності отриманих результатів.
Посилання
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