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Latest Published Articles
OMA-Vol. 1 (2017), Issue 1, pp. 34–43 | Open Access Full-Text PDF
Muhey U Din, Mohsan Raza, Saddaf Noreen
Abstract:In this article, we are mainly interested to find some sufficient conditions for integral operator involving normalized Struve and Dini function to be in the class \(N\left( \mu \right)\). Some corollaries involving special functions are also the part of our investigations.
Integral inequalities for differentiable harmonically \((s,m)\)-preinvex functions
OMA-Vol. 1 (2017), Issue 1, pp. 25–33 | Open Access Full-Text PDF
Imran Abbas Baloch, Imdat İşcan
Abstract: In this paper, we define a new generalized class of preinvex functions which includes harmonically \((s,m)\)-convex functions as a special case and establish a new identity. Using this identity, we introduce some new integral inequalities for harmonically \((s,m)\)-preinvex functions.
K-Banhatti and K-hyper Banhatti indices of dominating David Derived network
OMA-Vol. 1 (2017), Issue 1, pp. 13–24 | Open Access Full-Text PDF
Wei Gao, Batsha Muzaffar, Waqas Nazeer
Abstract: Let \(G\) be connected graph with vertex \(V(G)\) and edge set \(E(G)\). The first and second \(K\)-Banhatti indices of \(G\) are defined as \(B_{1}(G)=\sum\limits_{ue}[d_{G}(u)+d_{G}(e)]\) and \(B_{2}(G)=\sum\limits_{ue}[d_{G}(u)d_{G}(e)]\) ,where \(ue\) means that the vertex \(u\) and edge \(e\) are incident in \(G\). The first and second \(K\)-hyper Banhatti indices of \(G\) are defined as \(HB_{1}(G)=\sum\limits_{ue}[d_{G}(u)+d_{G}(e)]^{2}\) and \(HB_{2}(G)=\sum\limits_{ue}[d_{G}(u)d_{G}(e)]^{2}\). In this paper, we compute the first and second \(K\)-Banhatti and \(K\)-hyper Banhatti indices of Dominating David Derived networks.
An implicit viscosity technique of nonexpansive mapping in CAT(0) spaces
OMA-Vol. 1 (2017), Issue 1, pp. 1–12 | Open Access Full-Text PDF
Iftikhar Ahmad, Maqbool Ahmad
Abstract: In this paper, we present a new viscosity technique of nonexpansive mappings in the framework of CAT(0) spaces. The strong convergence theorems of the proposed technique is proved under certain assumptions imposed on the sequence of parameters. The results presented in this paper extend and improve some recent announced in the current literature.
Computing Sanskruti Index of Titania Nanotubes
OMS-Vol. 1 (2017), Issue 1, pp. 126–131 | Open Access Full-Text PDF
Muhammad Shoaib Sardar, Xiang-Feng Pan, Wei Gao, Mohammad Reza Farahani
Abstract:Let \(G=(V;E)\) be a simple connected graph. The Sanskruti index was introduced by Hosamani and defined as \(S(G)=\sum_{uv \in E(G)}(\frac{S_uS_v}{S_u+S_v-2})^3\) where \(S_u\) is the summation of degrees of all neighbors of vertex \(u\) in \(G\). In this paper, we give explicit formulas for the Sanskruti index of an infinite class of Titania nanotubes \(TiO_2[m, n]\).
On the viscosity rule for common fixed points of two nonexpansive mappings in Hilbert spaces
OMS-Vol. 1 (2017), Issue 1, pp. 111–125 | Open Access Full-Text PDF
Syeed Fakhar Abbas Naqvi, Muhammad Saqib Khan
Abstract:In this paper, we introduce, for the first time, the viscosity rules for common fixed points of two nonexpansive mappings in Hilbert spaces. The strong convergence of this technique is proved under certain assumptions imposed on the sequence of parameters.