Our study presents a novel orbit with s −convexity, for illustration of the behavior shift in fractals. We provide theorem to demonstrate escape criterion transcendental cosine functions type T α , β ( u ) = cos( m )+ αu + <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="M1"><mml:mrow><mml:mi>u</mml:mi> <mml:mo>,</mml:mo> <mml:mi>α</mml:mi> <mml:mi>β</mml:mi> <mml:mo>∈</mml:mo> <mml:mi mathvariant="double-struck">C</mml:mi></mml:mrow></mml:math> and ≥ 2. also...

The success of any endeavor or process is heavily contingent on the ability to reconcile and satisfy balance requirements, which are often characterized by symmetry considerations. In practical applications, primary goal decision-making processes efficiently manage asymmetry that exists within different sources information. order address this challenge, aim study introduce novel Dombi operation concepts formulated framework interval-valued Pythagorean fuzzy aggregation operators. study, an...

Protection of sensitive information has been always the major security concern since decades to withstand against illegitimate access and usage. Substitution-boxes (S-boxes) are vital components any modern day cryptographic system that allows us ensure its resistance attacks. The prime problem with creating S-box is we generally unable discover a consistent distribution among numerous features diverse cryptanalysis majority S-boxes investigated in literature good defenses some attacks but...

Chemical graph theory has revolutionary impacts in the field of mathematical chemistry when complex structures are investigated through various chemical invariants (topological indices). We have performed evaluations by considering alternatives as crystal structures, namely Face-Centered Cubic (FCC), hexagonal close-packed (HCP), Hexagonal (HEX), and Body Centered (BCC) Lattice study two-dimensional degree-based invariants, which we considered criteria. QSPR modeling been implemented for...

The primary objective of the water purification process is to remove harmful chemical compounds and microorganisms from sources in order produce suitable for human consumption. Water satisfies demand drinkable water, which a requirement many industries, including medical, pharmaceutical, among others. Access purified single most important factor determining nation’s strength prosperity. As consequence, researchers all over world are investigating wide variety potential strategies improving...

Symmetrical and asymmetrical information plays a critical role in resolving many issues. The implications of symmetry asymmetry interval-valued picture fuzzy decision-making, lie their ability to represent manage complex data. Decision makers approach the problem through various methods. Integrating symmetric asymmetric data context specific physical phenomenon poses significant challenges. To address these challenges, (IVPF) sets have emerged as an effective tool for managing In...

This study presents an innovative iterative method designed to approximate common fixed points of generalized contractive mappings. We provide theorems that confirm the convergence and stability proposed iteration scheme, further illustrated through examples visual demonstrations. Moreover, we apply s-convexity procedure construct orbits under convexity conditions, present a theorem determines condition when sequence diverges infinity, known as escape criterion, for transcendental sine...

The goal of this work is to establish ℑ-contractions and show some novel fixed point theorems for these contractive conditions in the setting generalized metric spaces sense Jleli Samet. Finally, using proven results, an existence result a solution RLC circuit’s current differential equation established.

In this paper, we investigate square-hexagonal chains, a class of systems where the inner dual structure with square-hexagon shape forms path graph. The specific configuration square and hexagonal polygons, how they are concatenated, leads to different types chains. A containing vertex degree 2 is classified as having kink, resulting kink referred type ⊤2 kink. This further subdivided into three types: ⊤12 , ⊤3 . We focus on chain compute various topological descriptors for configuration. By...

ABSTRACT In this article, we provided fixed‐point results for ‐quasirational contraction and within the setting of triple controlled metric‐like spaces. Furthermore, demonstrate that extension spaces does not constitute a Hausdorff space. Our are more generalized with respect to existing ones in literature. Additionally, also discussed existence uniqueness solution Fredholm integral equation using our sequel, apply primary finding nonlinear fractional differential equations. Moreover,...

Every year, various experiments emerge in which a strong link between topological chemical structures and their properties is found. These are numerous such as melting point, boiling drug toxicity. Topological index the functional tool to determine these properties. This research paper will analyze some of molecular structures, i.e., hyaluronic acid-paclitaxel conjugates Gn , anticancer SP[n], polyomino chain n-cycle Zn triangular benzenoid Tn circumcoronene series Hk using multicriteria...

&lt;abstract&gt; &lt;p&gt;Modern block ciphers deal with the development of security mechanisms to meet needs in several fields application. The substitution box, which is an important constituent ciphers, necessarily has sufficient cryptographic robustness counter different attacks. basic problem S-box design that there no evident pattern its properties. This study introduces a new mathematical algorithm for developing based on modular group coset graphs and newly invented notion "matrix...

Abstract In this paper, we introduce new types of contraction mappings named S-Pata-type mapping and Generalized in the framework S-metric space. Then, prove some fixed-point results for mappings. To support our results, provide examples to illustrate findings also apply these ordinary differential equation strengthen conclusions.

This paper explains the idea of t-intuitionistic fuzzy graphs as a powerful way to analyze and display relationships that are difficult understand. The article also illustrates ability establish complex with multiple factors or dimensions physical situation under consideration. Moreover, fundamental set operations proposed. notions homomorphism isomorphism introduced. Furthermore, highlights practical application proposed technique in context poverty reduction within specific society. By...

In this study, the authors verify fixed-point results for Geraghty contractions with a restricted co-domain of auxiliary function in context generalized metric structure, namely Sb-metric space. This new idea defining contraction self-operators generalizes large number previously published, closely related works on presence and uniqueness fixed point Also, outcomes are achieved by removing continuity constraint self-operators. We also provide examples to elaborate obtained an application...

Symmetry-related problems can be addressed by means of group theory, and ring theory seen as an extension additive theory. Ring a significant topic in abstract algebra, is currently active diverse range study domains across the disciplines mathematics, theoretical physics coding The ideals vital to rings wide ways. uncertainties present information are well q-rung orthopair fuzzy set (q-ROFS). Considering significance q-ROFS, this article defines (q-ROFIs) conventional investigates its...

Counting Polynomial is the mathematical function that was initially introduced for application in chemistry 1936 by G. Polya. Partitioning of graphs can be seen coefficients these functions, which also reveal frequency with partitions happen. We developed a novel and efficient method constructing necessary counting polynomials zigzag-edge coronoid formed fusion Starphene graph Kekulenes graph. The study's methods expand our knowledge, its findings potentially provide insight on topology...

In mathematical chemistry, molecular descriptors serve an important role, primarily in quantitative structure–property relationship (QSPR) and structure–activity (QSAR) studies. A topological index of a graph is real number that invariant under isomorphism conditions provides information about its size, symmetry, degree branching, cyclicity. For any N, the first second Gourava indices are defined as GO1(N)=∑u′v′∈E(N)(d(u′)+d(v′)+d(u′)d(v′)) GO2(N)=∑u′v′∈E(N)(d(u′)+d(v′))d(u′)d(v′),...

A crystal lattice is the three-dimensional structural arrangement of atoms or molecules inside a crystalline solid as points. Each consists repeating unit cells in different directions. From earlier scientific research, it was recognised that physio-chemical properties any structure are highly reliant on molecular network. This study led us to investigate complex structures through mathematical perspective using chemical invariant (topological index) by graph theory correlates and...

Square-hexagonal kink chains, also known as hexagonal chains or simply are structural configurations used in engineering for various purposes, including material science, nano-technology and mechanics. The square chain likely describes a chain-like structure where the individual units have hexagon-like shapes arranged with symmetry. Additionally, there points linear arrangement deviates kinks, possibly due to some irregularity. A nonterminal hexagon is regarded if it contains two...

The Pythagorean fuzzy set is an extension of the intuitionistic used to handle uncertain circumstances in various decisions making problems. Group theory a mathematical technique for dealing with problems symmetry. This study deals group theory. In this article, we characterize notion subgroup and examine algebraic properties concept. An extensive on cosets subgroup, normal subgroups performed. We define notions homomorphism isomorphism generalize factor classical W relative its S by...

Solar panels hold a significant amount of importance at an industrial level because they contribute to environmental sustainability by reducing carbon emissions, cost savings through reduced electricity bills, provide energy independence and reliability, serve as long-term investment with attractive returns. One the objectives this research article is address limitations current score function utilized in multi-criteria decision-making (MCDM) problems within interval-valued picture fuzzy...

The sustainability of the climate is a critical concern in modern world. A variety acts are included that strive to lessen our carbon footprint and maintain fragile balance To preserve sustainable future for generations, we must cooperate adopting renewable energy sources, supporting green transportation, implementing responsible land use. In this article, propose concepts complex intuitionistic fuzzy Dombi hybrid averaging (CIFDHA) geometric (CIFDHG) operators within framework environment....