Managing ambiguous and asymmetric types of information is a very challenging task under the consideration classical data. Furthermore, Aczel-Alsina aggregation operators are new developments in fuzzy sets theory. However, when decision-makers need to use these structures rough structures, fail deal with such values, as lower upper approximation spaces. Thus, an encasement intuitionistic set has chance data loss, whereas can resolve problem loss. Motivated by notion i.e., operators, this...

In this paper, we use Krasnoselskii’s fixed point theorem to find existence results for the solution of following nonlinear fractional differential equations (FDEs) a coupled system involving AB-Caputo derivative [Formula: see text] with boundary conditions We discuss uniqueness help Banach contraction principle. The criteria Hyers–Ulam stability given fractional-coupled value problem (BVP) is also discussed. Some examples are provided validate our results. Example 1, unique and stable BVP....

Abstract In this paper we extend the Banach contraction for multivalued mappings in a cone b -metric space without assumption of normality on cones and generalize some attractive results literature. MSC: 47H10, 54H25.

In this paper we extend the Kannan, Chatterjea and Zamfirescu theorems for multivalued mappings in a tvs-cone metric space without assumption of normality on cones generalize many results literature. MSC:47H10, 54H25.

The pursuit of understanding fixed points and their applications has been significantly enhanced through the exploration multi-valued mappings. This article introduces concept mappings within C∗-algebra-valued metric spaces. By utilizing lower bound property, this study extends Banach, Kannan, Chatterjea theorems for in such spaces (for example see [14]). Moreover, application aspect is enriched provision an existence result AB-Caputo partial hyperbolic type fractional differential...

We define the concept of βℱL-admissible for a pair L-fuzzy mappings and establish existence common fixed point theorem. Our result generalizes some useful results in literature. provide an example to support our result.

In this article, we discuss the existence of solutions a fractional boundary value problem order <i>m</i> ∈ (1, 2], with nonlocal non-separated type integral multipoint conditions. Shaefer and Krasnoselskii's fixed point theorems are used to prove results for given problem. To establish uniqueness Banach contraction principle is used. The criteria HyersUlam stability also discussed. Some examples included illustration our results.

This paper presents a study on the existence theory of fractional differential equations involving Atangana–Baleanu (AB) derivative order [Formula: see text], with non-separated and integral type boundary conditions. An result for solutions given AB-fractional equation is proved using Krasnoselskii’s fixed point theorem, while uniqueness solution obtained Banach contraction principle. Some conditions are proposed under which value problem Hyers–Ulam stable. Examples to validate our results.

We extend the idea of Hausdorff distance function in G-cone metric spaces and obtain fixed points multivalued mappings spaces. MSC:47H10, 54H25.

In this article we introduce the notion of multivalued fuzzy mappings satisfying w.l.b property and l.b properties prove some results for generalize contractive in ordered-cone metric spaces without assumption normality on cones. We many literature.

In this paper, the existence results for solutions of multi-term ABC-fractional differential boundary value problem (BVP) [Formula: see text] order with nonlocal conditions have been derived by using Krasnoselskii’s fixed point theorem. The uniqueness solution is obtained help Banach contraction principle. Examples are provided to confirm our results.

Abstract In this paper, motivated by Reich contraction and tool of measure noncompactness, some generalizations Reich, Kannan, Darbo, Sadovskii, Krasnoselskii type fixed point results are presented considering a pair maps A , B on nonempty closed subset M Banach space X into . The existence solution to the equation $Ax+Bx=x$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>A</mml:mi> <mml:mi>x</mml:mi> <mml:mo>+</mml:mo> <mml:mi>B</mml:mi> <mml:mo>=</mml:mo> </mml:math>...

Branciari defined the integral contractions to generalize Banach contraction principle. Moreover recently Phiangsungnoen proved a fixed point theorem ordered structure and contractive conditions with admissible mappings. In this article, we prove some coincidence common fi xed theorems for pair of L-fuzzy mappings satisfying β-admissible contractions. These results above famous many others in literature. We define two types fuzzy functional inclusions existence their solutions as consequence...

Initially some concepts related to soft vector spaces have been studied. It is shown that there a matrix associated with linear transform. Optimization of process as whole can be studied the help matrices. In this regard notion convex set investigated. Therefore idea programming emerges natural consequence. Thus optimality theorem presented.

We discuss the existence of solution a certain type fuzzy partial differential inclusions with local conditions integral types.

Abstract We consider Ω as a subset of Banach space W and Λ function into . Let Ϝ be whose image values lie in domain is $\Lambda (\Omega )\times \Omega $ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Λ</mml:mi> <mml:mo>(</mml:mo> <mml:mi>Ω</mml:mi> <mml:mo>)</mml:mo> <mml:mo>×</mml:mo> </mml:math> or $\Omega \times In this paper, we establish some fixed-point results for generalized expansive equiexpansive operator such that \subseteq \digamma (\Lambda \omega ,\Omega )$...

Abstract In this article, fixed point results for self-mappings in the setting of two metrics satisfying <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>F</m:mi> </m:math> F -lipschitzian conditions rational-type are proved, where is considered as a semi-Wardowski function with constant <m:mi>τ</m:mi> <m:mo>∈</m:mo> <m:mi mathvariant="double-struck">R</m:mi> \tau \in {\mathbb{R}} instead <m:mo>&gt;</m:mo> <m:mn>0</m:mn> \gt 0 . Two have been considered, one an incomplete while...

This paper presents the following AB-Caputo fractional boundary value problem [Formula: see text] with integral-type conditions of order text]. Schauder and Krasnoselskii’s fixed point theorems are used to find existence results. Uniqueness is obtained via Banach contraction principle. To investigate stability a given problem, Hyers–Ulam discussed. An example provided validate our

The hybrid soft set model is an important topic dealing with uncertain information. In this article, we firstly introduce the concept of Z-soft rough fuzzy sets a semigroup, and obtain some basic operations about upper (lower) approximations. Next, give definition semigroups study related properties. Particularly, form approach which built on basis semigroup for decision-making, also example to test validity approach. Finally, compare performance three algorithms stated in terms models,...