Abstract This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, fixed point results for set-valued cone-contraction mappings. We theorem rational type cone-contractions spaces. Our extend improve given literature.

We apply an existence theorem of variational inclusion problem on metric spaces to study optimization problems, set-valued vector saddle point problems, bilevel problems, and mathematical programs with equilibrium constraint on metric spaces. We study these problems without any convexity and compactness assumptions. Our results are different from any existence results of these types of problems...

We characterize the restrictions of first order Sobolev functions to regular subsets of a homogeneous metric space and prove the existence of the corresponding linear extension operator. Let (X, d, µ) be a metric space (X, d) equipped with a Borel measure µ, which is non-negative and outer regular, and is finite on every bounded subset. In this paper we describe the restrictions of first order ...

In this paper, we consider a nonnegative complex valued function satisfying the identity of indiscernible and utilize the same to prove some common fixed point theorems for two pairs of non-vacuously weakly compatible mappings satisfying an implicit relation having rational terms as its co-ordinates. Some illustrative examples are also given which demonstrate the validity of the hypotheses of o...

Kaneko et al.[4] etc many authors extended with multi-valued maps for the notion of compatible maps in complete metric space. Recently, O’Regan et al.[5] presented fixed point and homotopy results for compatible single-valued maps on complete metric spaces. In this paper, we will establish some common fixed point theorems using compatible maps in intuitionistic fuzzy metric space. : Common fixe...

In this paper, under some appropriate conditions, we prove some $Delta$ and strong convergence theorems of endpoints for multi-valued nonexpansive mappings using modified Agarwal-O'Regan-Sahu iterative process in the general setting of 2-uniformly convex hyperbolic spaces. Our results extend and unify some recent results of the current literature.

Generally, the field of fixed point theory has attracted attention researchers in different fields science and engineering due to its use proving existence uniqueness solutions real-world dynamic models. C*-algebra is being continually used explain a physical system quantum statistical mechanics subsequently become an important area research. The concept C*-algebra-valued metric space was intro...

The main purpose of this paper is to discuss Hardy type spaces, Bloch spaces and the composition operators complex-valued harmonic functions. We first establish a sharp estimate Lipschitz continuity functions in with respect pseudo-hyperbolic metric, which gives an answer open problem. Then some classes on will be investigated. obtained results improve extend corresponding known results.