“…In 2017, Phudolsitthiphat and Wiriyapongsanon [6] extended the result in [4] to find a coupled coincidence point of α-Geraghty contractions under JS-metric spaces. Next, Ansari and Shukla [1,2] gave the idea of a relation between F and h, precisely, the pair (F , h) to be an upper class.…”
Section: Introductionmentioning
confidence: 94%
“…2 in[6] fails as shown below. When x ≤ y ≤ v and x ≤ u ≤ v, considerα (tx, ty), (tu, tv) D S(x, y), S(u, v) = 4 max x 2u + 2v > θ D(tx, tu), D(ty, tv) · 2v = θ D(tx, tu), D(ty, tv) M (tx, tu), (ty, tv) for all θ ∈ Θ .…”
In this research work, the necessary and sufficient conditions of a coupled coincidence point of certain type of generalized contractions are explored. These results are considered under JS-metric spaces equipped with a partial order.Moreover, examples satisfying theorems are given. Finally, an application to a system of integral equations is obtained using our results. In addition, an example of the system is provided.
MSC: Primary 47H10; secondary 54H25
“…In 2017, Phudolsitthiphat and Wiriyapongsanon [6] extended the result in [4] to find a coupled coincidence point of α-Geraghty contractions under JS-metric spaces. Next, Ansari and Shukla [1,2] gave the idea of a relation between F and h, precisely, the pair (F , h) to be an upper class.…”
Section: Introductionmentioning
confidence: 94%
“…2 in[6] fails as shown below. When x ≤ y ≤ v and x ≤ u ≤ v, considerα (tx, ty), (tu, tv) D S(x, y), S(u, v) = 4 max x 2u + 2v > θ D(tx, tu), D(ty, tv) · 2v = θ D(tx, tu), D(ty, tv) M (tx, tu), (ty, tv) for all θ ∈ Θ .…”
In this research work, the necessary and sufficient conditions of a coupled coincidence point of certain type of generalized contractions are explored. These results are considered under JS-metric spaces equipped with a partial order.Moreover, examples satisfying theorems are given. Finally, an application to a system of integral equations is obtained using our results. In addition, an example of the system is provided.
MSC: Primary 47H10; secondary 54H25
<abstract><p>The goal of this paper is to obtain some tripled coincidence point results for generalized contraction mappings in the setting of $ JS $-metric spaces endowed with a partial order. Furthermore, illustrative examples to support the theoretical results and the application are obtained. Finally, some theoretical results are applied to discuss the existence of a solution for a system of non-homogeneous and homogeneous integral equations as applications.</p></abstract>
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