In this paper, we introduce the notion of fuzzy bipolar metric space and prove some fixed point results in this space. We provide some non-trivial examples to support our claim and also give applications for the usability of the main result in fuzzy bipolar metric spaces.

We obtain a new Suzuki type coupled fixed point theorem for a multivalued mappingTfromX×XintoCB(X), satisfying a generalized contraction condition in a complete metric space. Our result unifies and generalizes various known comparable results in the literature. We also give an application to certain functional equations arising in dynamic programming.

In the present paper we prove a unique common fixed point theorem for a family of weakly compatible self maps in non-Archimedean Menger PM-spaces without using the notion of continuity. Our result generalizes and extends some well known previous results.

In this paper we have drawn a comparative analysis among convergence of Picard, Mann and Ishikawa iteration for the complex space.

<p>In this paper, we establish coincidence point theorems for contractive mappings, using locally g-transitivity of binary relation in new generalized metric spaces. In the present results, we use some relation theoretic analogues of standard metric notions such as continuity, completeness and regularity. In this way our results extend, modify and generalize some recent fixed point theorems, for instance, Karapinar et al [J. Fixed Point Theory Appl. 18(2016) 645-671], Alam and Imdad [Fixed Point Theory, in press].</p>

In this paper we establish some results on best proximity point for multivalued mappings using the concept of w-distence and P-property.Our results generalize and extend some well known previous results [8,10].

No abstract

Abstract. In this paper we prove some fixed point theorems for multivalued mappings using rational inequality in a symmetric space. These results are generalizations of some well known results in metric spaces and also in the setting of symmetric spaces.