Pradyut Das

On -Tupled Coincidence Point Results in Metric Spaces

We prove some n-tupled coincidence point results whenever n is even. We give here several new definitions like n-tupled fixed point, n-tupled coincidence point, and so forth. The main result is supported with the aid of an illustrative example.

Coupled coincidence point results for compatible mappings in partially ordered fuzzy metric spaces

Coupled fixed point problems have attracted much attention in recent times. In this paper we establish coupled coincidence point and coupled fixed point results in the context of fuzzy metric spaces. The two mappings considered here are assumed to be compatible. Hadzic type t-norm is used. By an application of the coincidence point theorem in fuzzy metric spaces, a corresponding result is obtained in metric spaces. The main theorem of this paper is illustrated with an example. Our work extends some existing results.

Coupled coincidence point results for compatible mappings in partially ordered probabilistic metric spaces

In this paper, we establish coupled coincidence point results in probabilistic metric spaces with a partial order. The main theorem has several corollaries and is supported with an example. The corollaries are shown to be properly contained in the main theorem. By an application of a corollary we obtained a corresponding result in metric spaces which is also supported with an example. Some results in [Nonlinear Anal. 74 (2011) 6451–6458] and [Nonlinear Anal. 71 (2009) 1833–1843] are extended in this paper. The extensions are shown to be actual with the help of an example. We use Hadžic type t-norm in this paper. The methodology of the proofs in this work is a blending of analytic and order theoretic approaches.

EXTENSIONS OF BANACH`S AND KANNAN`S RESULTS IN FUZZY METRIC SPACES

In this paper we establish two common xed point theorems in fuzzy metric spaces. These theorems are generalisations of the Ba- nach contraction mapping principle and the Kannans xed point theo- rem respectively in fuzzy metric spaces. Our result is also supported by examples.

Coupled coincidence point results for probabilistic φ-contractions

In this paper, we establish a new coupled coincidence point results in partially ordered probabilistic metric spaces by utilizing the Gauge function. We use the compatibility condition between two mappings. We use monotone and mixed monotone properties of functions with respect to the ordering. Our main result has several corollaries. The main result is supported with an example which shows that the corollaries are actually contained in our main theorem. The methodology is a combination of analytic and order theoretic approaches.