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**publisher and metadata sources**).In this paper, we establish dislocated quasi-b-metric spaces and introduce the notions of Geraghty type dqb-cyclic-Banach contraction and dqb-cyclic-Kannan mapping and derive the existence of fixed… Continue Reading

Fixed-point theory in complex valued metric spaces has greatly developed in
recent times. In this paper, we prove certain common fixed-point theorems for two single-valued mappings in such spaces.… Continue Reading

In this paper, we introduce the notions of type dqb-cyclic-weak Banach contraction, dqb-cyclic-φcontraction and derive the existence of fixed point theorems on dislocated quasi-b-metric spaces. Our… Continue Reading

In this paper, we prove a condition of the existence for generalized multi-valued mappings satisfying some inequalities in metric spaces. These results are improved versions of results of Boško… Continue Reading

31 March 2019

In this paper, we propose and analyze a generalized \(\alpha\)-nonexpansive mappings on a nonempty subset of a hyperbolic space i.e., \begin{align*} \frac{1}{2}d(x,Tx)\leq d(x,y)\Longrightarrow… Continue Reading

In this paper, we prove some fixed point theorems for coupled-nonexpansive mapping and prove strong convergence and weakly convergence theorems for a double Mann-type iterative process to… Continue Reading

In this paper, a new iterative algorithm is proposed for finding the minimum-norm solution of a proximal split minimization problem and fixed point problem of quasi-nonexpansive mappings in Hilbert… Continue Reading

In this paper, we prove some properties of fixed point set of fundamentally non-expansive mappings and derive the existence of fixed point theorems as follows results of Salahifard et al. [H.… Continue Reading

31 March 2019

In this paper, we propose and analyze a \(L\)-Lipschitzian Suzuki-generalized nonexpansive mapping on a nonempty subset of a hyperbolic space and prove \(\Delta\)-convergence theorems and convergence… Continue Reading

In this paper, we propose and analyze a generalized α-nonexpansive mappings on a nonempty subset of a hyperbolic space i.e., 1 2 d(x,Tx)≤ d(x, y)=⇒ d(Tx,T y)≤αd(y,Tx)+αd(x,T y)+ (1−2α)d(x, y), and… Continue Reading