In this study, we obtain some refinements of Hermite-Hadamard type inequalities for trigonometrically r-convex mappings.

In this paper, we use some background concerning multivalued functions and set-valued analysis, the fixed point theorem of Bohnenblust-Karlin and the method of upper and lower solutions to investigate the existence of solutions for a class of boundary value problem of functional differential inclusions involving the Caputo-Hadamard fractional derivative.

In this paper, a general common fixed point theorem for two pairs of subcompatible mappings satisfying integral type implicit relations is obtained in a metric space. Our result improves several results especially the result of Pathak et al. [6]. Also, another common fixed point theorem of Greguš type for four mappings satisfying a contractive condition of integral type in a metric space using the concept of subcompatibility is established which generalizes the result of Djoudi and Aliouche [1] and others. Again a third common fixed point theorem for two pairs of near-contractive subcompatible mappings is given which enlarges the result of Mbarki [5] and references therein.

In this work, we consider the Lamé system in 3-dimension bounded domain with distributed delay term. We prove, under some appropriate assumptions, that this system is well-posed and stable. Furthermore, the asymptotic stability is given by using an appropriate Lyapunov functional.

This paper presents a conceptual and mathematical model of a multi-criteria decision making process in which the information about decision maker's preferences is expressed in the form of minimal suitable values.

This paper is devoted to the uniqueness problem of the power of a meromorphic function with its differential polynomial sharing a set. Our result will extend a number of results obtained in the theory of normal families. Some questions are posed for future research.

In this paper a new type of fuzzy regularity, viz. fuzzy p*- regularity has been introduced and studied by a newly defined closure operator, viz., fuzzy p*-closure operator. Also we have found the mutual relationship of this closure operator among other closure operators defined earlier. In p*-regular space, p*-closure operator is an idempotent operator. In the last section, p*-closure operator has been characterized via p*-convergence of a fuzzy net.

Suppose K is a nonempty closed convex subset of a real uniformly convex Banach space E. Let S; T : K → K be two asymptotically quasi-nonexpansive mappings in the intermediate sense such that F = F(S) ∩ F(T) = {x _ K : Sx = Tx = x} ≠ 0 ;. Suppose {xn} is generated iteratively by x1_K, xn+1 = (1 - ɑn)Tnxn + ɑnSnyn, yn = (1 - βn)xn + βnTnxn, n ɑ 1, where {ɑn} and {ɑn} are real sequences in [a; b] for some a; b _ (0; 1). If S and T satisfy condition (B) or either S or T is semi-compact, then the sequence fxng converges strongly to some q _ F and if E satisfying the Opial's condition, then the sequence {xn} converges weakly to some q _ F.

The notions of fuzzy soft graph, union, intersection of two fuzzy soft graphs are introduced in this paper and a few properties relating to finite union and intersection of fuzzy soft graphs are established here.

The main of this paper is to establish an inequality pro- viding some better bounds for integral mean by using a mean value theorem. Our results generalize the results of Ahmad et. al in (8).