The purpose of this paper is to introduce a new type contraction called fuzzy F-contraction. As compared the F-contraction in existing literature, our much simpler and more straightforward, since it contains only one condition—that is, function F strictly increasing. Moreover, some fixed-point theorems for are presented. Further, examples given illustrate its validity superiority. In addition, ...

Type hierarchies which arise in applications are often described incompletely; this missing information may be handled in a variety of ways. In this work, such incomplete hierarchies are viewed as open specifications; that is, descriptions which are sets of constraints. The actual hierarchy is then any structure satisfying these constraints. For such specifications, two forms of characterizatio...

banach contraction principle has been generalized in different spaces by mathematicians over the years. mustafa and sims [18] proposed a new class of generalized metric spaces, which are called as g-metric spaces. in this type of spaces a non-negative real number is assigned to every triplet of elements. many mathematicians studied extensively various results on g-metric spaces by using the con...

In this paper, we prove some common fixed point theorems for co-cyclic weak contractions in compact metric spaces. Keywords—Cyclic weak contraction, Co-cyclic weak contraction, Co-cyclic representation, Common fixed point.

Abstract In this paper, fixed point and coincidence results are presented for multivalued generalized φ-weak contractive mappings on complete metric spaces, where φ : [0, +∞) −→ [0, +∞) is a lower semicontinuous function with φ(0) = 0 and φ(t) > 0 for all t > 0. Our results extend previous results by Zhang and Song (2009), as well as by Rhoades (2001), Nadler (1969), and Daffer and Kaneko (1995).

Fractional Differential inclusions, the multivalued version of fractional differential equations, yellow play a vital role in various fields applied sciences. In present article, class q-rung orthopair fuzzy (q-ROF) set valued mappings along with q-ROF upper/lower semi-continuity have been introduced. Based on these ideas, existence theorems for numerical solution distinct inclusions achieved h...

Throughout this paper, we always assume thatH is a real Hilbert space, whose inner product and norm are denoted by 〈·, ·〉 and ‖ · ‖. → and ⇀ are denoted by strong convergence and weak convergence, respectively. Let C be a nonempty closed convex subset ofH and T : C → C a mapping. In this paper, we denote the fixed point set of T by F T . T is said to be a contraction if there exists a constant ...

A multivalued recognition system was formulated by the authors which has the ability of discriminating the nonoverlapping, and overlapping and no-class (i.e., ambiguous/doubtful) regions and of analyzing the associated uncertainties by providing output decisions in four states, namely, single, f i r s t second, combined, and null choices. The single choices correspond to the nonoverlapping regi...