R.P. Dubey

Some Fixed Point Theorems in Complex Valued b-Metric Spaces

Recently, Azam et al. introduced the notion of complex valued metric spaces and proved fixed point theorems under the contraction condition. Rao et al. introduced the notion of complex valued b-metric spaces. In this paper, we obtain some fixed point results for the mapping satisfying rational expressions in complex valued b-metric spaces. Also, an example is given to illustrate our obtained result.

Some Fixed Point Results in Dislocated Quasi-Metric Space

In this paper, we prove some fixed point theorems for different contraction mappings in dislocated quasi-metric space. The results presented in this paper extend and improve several well-known results in the literature. Mathematics Subject Classification: 47H10

Various Fixed Point Theorems in Complex Valued -Metric Spaces

We prove some common fixed point results for a pair of mappings which satisfy generalized contractive conditions with rational expressions having point-dependent control functions as coefficients in complex valued -metric spaces. The results of this paper generalize and extend the several known results in complex valued -metric spaces. Finally, examples are provided to verify the effectiveness and to usability of our main results.

On Generalization of Some Coincidence and Common Fixed Point Theorems for Three Self Mappings in Cone Metric Spaces

The purpose of this paper is to establish some coincidence and common fixed point theorems for three self mappings in cone metric spaces. The results presented in the paper generalize and extend several well-known results in the literature.

Some Common Fixed Point Results for Expansive Mappings in a Cone Metric Space

The purpose of this work is to extend and generalize some common fixed point theorems for Expansive type mappings in complete cone metric spaces. We are attempting to generalize the several well- known recent results. Mathematical subject classification; 54H25, 47H10 Key word: Complete cone metric space, common fixed point, expansive type mapping.