Fixed point theorems in generalized Hilbert spaces

Fixed Point Theorems for Widely Generalized Mappings in Hilbert Spaces and Applications

Fixed Point Theorems for New Generalized Hybrid Mappings in Hilbert Spaces and Applications

In this paper, we introduce a broad class of nonlinear mappings in a Hilbert space which contains the classes of nonexpansive mappings, nonspreading mappings, hybrid mappings and contractive mappings. Then we prove fixed point theorems for the class of such mappings. Using these results, we prove well-known and new fixed point theorems in a Hilbert space. We finally give an open problem which i...

Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces

In this paper, we introduce a concept of a generalized $c$-distance in ordered cone $b$-metric spaces and, by using the concept, we prove some fixed point theorems in ordered cone $b$-metric spaces. Our results generalize the corresponding results obtained by Y. J. Cho, R. Saadati, Shenghua Wang (Y. J. Cho, R. Saadati, Shenghua Wang, Common fixed point  heorems on generalized distance in ordere...

Generalized Distance and Common Fixed Point Theorems in Menger Probablistic Metric Spaces

On the fixed point theorems in generalized weakly contractive mappings on partial metric spaces

In this paper, we prove a fixed point theorem for a pair of generalized weakly contractive mappings in complete partial metric spaces. The theorems presented are generalizations of very recent fixed point theorems due to Abdeljawad, Karapinar and Tas. To emphasize the very general nature of these results, we illustrate an example.