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Citation - WoS: 77
Citation - Scopus: 81
α-admissible mappings and related fixed point theorems
(Springeropen, 2013) Hussain, Nawab; Karapinar, Erdal; Salimi, Peyman; Akbar, Farhana
In this paper, we prove the existence and uniqueness of a fixed point for certain alpha-admissible contraction mappings. Our results generalize and extend some well-known results on the topic in the literature. We consider some examples to illustrate the usability of our results.
Citation - WoS: 48
Citation - Scopus: 45
Fixed Point Results for g^m< Contractive and g-(α, Ψ)-Meir Contractive Mappings
(Springer international Publishing Ag, 2013) Hussain, Nawab; Karapinar, Erdal; Salimi, Peyman; Vetro, Pasquale
In this paper, first we introduce the notion of a G(m)-Meir-Keeler contractive mapping and establish some fixed point theorems for the G(m)-Meir-Keeler contractive mapping in the setting of G-metric spaces. Further, we introduce the notion of a G(c)(m)-Meir-Keeler contractive mapping in the setting of G-cone metric spaces and obtain a fixed point result. Later, we introduce the notion of a G-(alpha, psi)-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of G-metric spaces.