Expansive mapping theorems in complex valued metric spaces

Fixed point theorems for generalized contraction mappings on b-rectangular metric spaces

“…Moreover, in 2009, Kumar [14] presented some theorems for two maps satisfying the following d(f x, f y) ≥ qd(gx, gy), with q > 1, where f is onto and g is one-to-one. Moosaei, Azizi, Asadi and Wang generalized the results of Karapinar as follows In [15], Moosaei used Krasnoselskii's iteration defined in convex metric spaces, for the following mappings, that satisfy…”

Common Fixed Points of $R$-Weakly Commuting Mappings and Its Variants for Multiplicative Expansive Mappings

“…In 2009, Kumar and Garg [5] introduced the concept of R-weakly commuting mappings of type (P ) in metric spaces Now in similar mode we introduce the notions of R-weakly commuting mappings and its variants in multiplicative metric spaces as follows: Definition 2.1. Let f and g be two mappings of a multiplicative metric space (X, d) into itself.…”

Variants of R-weakly commuting mappings satisfying a weak contraction

“…In 2006, Imdad and Ali [5] introduced R-weakly commuting mappings of type (P) in fuzzy metric spaces. In 2009, Kumar and Garg [12] introduced the concept of R-weakly commuting mappings of type (P) in metric spaces analogue to the notion in fuzzy metric spaces given in [5]. In 1997, Alber and Guerre-Delabriere [2] introduced the concept of a weak contraction and further Rhoades [15] showed that the results of Alber and Gueree-Delabriere are also valid in complete metric spaces.…”