The target of this manuscript is to introduce new symmetric fractional $ \alpha $-$ \beta $-$ \eta $-$ \Upsilon $-contractions and prove some new fixed point results for such contractions in the setting of $ M_{b} $-metric space. Moreover, we derive some results for said contractions on closed ball of mentioned space. The existence of the solution to a fractional-order differential equation with one boundary stipulation will be discussed.
Citation: Mustafa Mudhesh, Aftab Hussain, Muhammad Arshad, Hamed AL-Sulami, Amjad Ali. New techniques on fixed point theorems for symmetric contraction mappings with its application[J]. AIMS Mathematics, 2023, 8(4): 9118-9145. doi: 10.3934/math.2023457
The target of this manuscript is to introduce new symmetric fractional $ \alpha $-$ \beta $-$ \eta $-$ \Upsilon $-contractions and prove some new fixed point results for such contractions in the setting of $ M_{b} $-metric space. Moreover, we derive some results for said contractions on closed ball of mentioned space. The existence of the solution to a fractional-order differential equation with one boundary stipulation will be discussed.
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Mustafa Mudhesh, Aftab Hussain, Muhammad Arshad, Hamed AL-Sulami, Amjad Ali. New techniques on fixed point theorems for symmetric contraction mappings with its application[J]. AIMS Mathematics, 2023, 8(4): 9118-9145. doi: 10.3934/math.2023457
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