Fixed point results for Su-type contractive mappings with an application

الموضوعات :

A. Ali ¹ (Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan)
H. Işık ² (Department of Mathematics, Faculty of Science and Arts, Mus Alparslan University, Mus 49250, Turkey)
F. Uddin ³ (Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan)
M. Arshad ⁴ (Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan)

تاريخ الإرسال : 07 الإثنين , ربيع الأول, 1441 تاريخ التأكيد : 23 الأربعاء , رجب, 1441 تاريخ الإصدار : 06 الأحد , رجب, 1441

الکلمات المفتاحية: Altering distance function‎, ‎Su-type contraction‎, ‎extended partial $b$-metric space‎, ‎integral equation,

ملخص المقالة :

‎In this paper‎, ‎we introduce the concept of Su-type contractive mapping and establish fixed point theorems for such mappings in the setting of ordered‎‎extended partial $b$-metric space‎. ‎We also develop an‎‎application for Fredholm type integral equations to‎‎validate our main result and a non-trivial example is given to‎‎elucidate our work.

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