Dated, formal, or literary expression meaning 'this kind of' or 'such'. In modern Japanese, このような or こんな are far more common.
かような結果になるとは思わなかった。
I didn't expect this sort of result.
A situation like this must never be allowed to happen again.
かような事情で、本日は休業いたします。
Due to these circumstances, we are closed today.
斯様 and 斯かる are both old-fashioned, formal ways to say 'such/this kind of', found mainly in written or ceremonial language.
斯様 (an adjective meaning 'this kind of') shares the character 斯 with 斯く, a classical adverb meaning 'thus, in this way', but the two have different parts of speech and uses.
Usually written in kana; the kanji form 斯様 is dated and rare.
Dated kanji spelling; learners will almost always encounter the kana form.
Derived from classical Japanese 斯様 (kayō), a combination of 斯 (ka, 'this') and 様 (yō, 'appearance/manner').