Sedghi et al. (Mat. Vesn. 64(3):258-266, 2012) introduced the notion of a S-metric as a generalized metric in 3-tuples S : X 3 → [0, ∞), where X is a nonempty set. The aim of this paper is to introduce the concept of an n-tuple metric A : X n → [0, ∞) and to study its basic topological properties. We also prove some generalized coupled common fixed point theorems for mixed weakly monotone maps in partially ordered A-metric spaces. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature. MSC: 47H09; 47H10; 54H25

The aim of this paper is to present common fixed point results of quasi-weak commutative mappings on a closed ball in the framework of multiplicative metric spaces. Example is presented to support the result proved herein. We also study sufficient conditions for the existence of a common solution of multiplicative boundary value problem. Our results extend and improve various recent results in the existing literature.

Let E be a real uniformly convex Banach space, K be a closed convex nonempty subset of E which is also a nonexpansive retract with retraction P . Let T 1 , T 2 , . . . , T m : K → E be asymptotically nonexpansive mappings of K into E with sequences (respectively) {k in } ∞ n=1 satisfying k in → 1 as n → ∞, i = 1, 2, . . . , m,. . , m} (respectively). Let {x n } be a sequence generated for m 2 byLet m i=1 F (T i ) = ∅. Strong and weak convergence of the sequence {x n } to a common fixed point of the. . , T m are nonexpansive mappings and the dual E * of E satisfies the Kadec-Klee property, weak convergence theorem is also proved.

Let E be a real uniformly convex Banach space whose dual space E * satisfies the Kadec-Klee property, K be a closed convex nonempty subset of E. Let T 1 , T 2 , . . . , T m : K → K be asymptotically nonexpansive mappings of K into E with sequences (respectively) {k in } ∞ n=1 satisfying k in → 1 as n → ∞, i = 1, 2, . . . , m, and ∞ n=1 (k in − 1) < ∞. For arbitrary ∈ (0, 1), let {α in } ∞ n=1 be a sequence in [ , 1 − ], for each i ∈ {1, 2, . . . , m} (respectively). Let {x n } be a sequence generated for m 2 byLet m i=1 F (T i ) = ∅. Then, {x n } converges weakly to a common fixed point of the family {T i } m i=1 . Under some appropriate condition on the family {T i } m i=1 , a strong convergence theorem is also proved.

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