Search

The purpose of this paper is to prove some new common fixed point and coincidence point theorems for a pair of intuitionistic fuzzy mappings on a complete metric linear space in association with the Hausdorff metric as well as d1 metric on the family of intuitionistic fuzzy sets (IFS). Moreover, as an application, in function space C [a; b], an existence of coincidence theorem for a family of nonlinear integral equations has been established. Some illustrative examples which demonstrate the validity of the hypothesis and novelty of our main results are presented. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to present a new class of generalized Berinde-type (&#951,ξ,ν,θ)-contractive in b-metric space and establish some fixed and common fixed point results for the class of mappings in partially ordered complete b-metric spaces. Our results generalize and extend several known results from the context of ordered metric spaces to the setting of ordered b-metric spaces. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notion of dualistic contraction of rational type. We prove some fixed point theorems for ordered mappings satisfying above mentioned contraction. We give examples to illustrate the importance of these results. We present an application of our fixed point result to show the existence of solution of integral equations. [ABSTRACT FROM AUTHOR]