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The aim of this paper is to present another family of fractional symmetric α-η-contractions and build up some new results for such contraction in the context of ℱ-metric space. The author derives some results for Suzuki-type contractions and orbitally T-complete and orbitally continuous mappings in ℱ-metric spaces. The inspiration of this paper is to observe the solution of fractional-order differential equation with one of the boundary conditions using fixed-point technique in ℱ-metric space.

Electric vehicles (EVs) have the potential to lead the transition in road transportation from traditional petroleum mobility to electric mobility. Despite many environmental benefits, the market penetration rate of EVs is still low in most developing countries. Recently, Pakistan formulated its first EV policy for 2020–2025 to accelerate EV adoption. This study aims to explore the factors, including environmental concerns, perceived ease of use, effort expectancy, social influence, and perceived facilitating conditions, affecting individuals’ behavioral intentions to purchase EVs in Pakistan. The hypotheses were developed based on the literature, and an online questionnaire survey was conducted in Lahore, Pakistan, to collect the relevant data. The partial least square path modeling approach of structural equation modeling was used to test the hypothesis. The results confirmed that the environmental concerns, perceived ease of use, and effort expectancy positively affect the public’s intentions to use EVs in the future. However, social influence and facilitating conditions did not significantly contribute to EV adoption in the present study. The findings suggest that the EV manufacturers aiming to accelerate EV adoption should develop marketing strategies to disseminate information regarding the environmental benefits of EVs and enhance clarity about EVs’ performance and usage.

In the realm of b -metric spaces, this study introduces a novel generalized Wardowski-type quasi-contraction, denoted as β -( θ , ϑ ). We begin by applying this new contraction to derive standard fixed point results. Subsequently, we establish the existence of a generalized quasi-contraction of the Wardowski type, thereby validating the robustness of our findings. Specifically, we utilize Nadler’s work to model biological ecosystems and apply our results to solve an optimization problem. To illustrate the practical implications and effectiveness of our approach, we provide a comparative analysis between our results and those of Nadler. This comprehensive study underscores the significance and utility of our generalized contraction in both theoretical and applied contexts.

ABSTRACT The objectives of this study were to evaluate non-genetic and genetic effects as well as heritabilities and repeatabilities for seven reproductive traits using phenotypic records from an experimental Kajli flock in Punjab, Pakistan. Phenotypic data comprised 2501 records of litter size at birth (LSB), cumulative litter weight at birth (LWB), and mean litter weight at birth/ lamb born (LMWB), 1657 records of litter size at weaning (LSW), cumulative litter weight at weaning (LWW), and mean litter weight at weaning/ lamb weaned (LMWW), and 1674 records of lambing interval (LI) from Kajli sheep housed at the Livestock experiment station Khushab from 2007 to 2018. Least squares procedures (SAS, 9.1) were used to assess the effect year of service (YOS), season of service (SOS), parity of dam, and breeding ram on the expression of all reproductive traits. A derivative free REML algorithm was used to estimate heritabilities and repeatabilities with software WOMBAT®. The overall least squares means ± standard error for LSB, LWB, LMWB, LSW, LWW, LMWW and LI were 1.19±0.03, 5.75±0.17 kg, 4.88±0.06 kg, 1.17±0.05, 20.77±0.91 kg, 17.87±0.57 kg, 330.69±20.48 days, respectively. The YOS had significant (p≤0.01) impact on LSB, LWB, LMWB, LWW and LMWW. However, SOS did not affect any reproductive trait except for LI (p≤0.01). Parity significantly affected LMWB (p<0.05) as well as LSB, LWB, LSW and LWW (p≤0.01), but not LMWW and LI. Breeding ram influenced LSB, LSW and LWW significantly (p≤0.01). Genetic parameter estimates were very low due to large values of environmental variances for all reproductive traits. Estimates of heritability were low for all traits (0.08±0.05, 0.01±0.02, 0.02±0.02, 0.01±0.01, 0.04±0.03, 0.07±0.05 for LSB, LWB, LMWB, LSW, LWW and LMWW, respectively). The heritability for LI was zero. Repeatability estimates were also low for all traits (0.09±0.05, 0.02±0.02, 0.06±0.03, 0.02±0.01, 0.04±0.02, 0.09±0.06, 0.01±0.01 for LSB, LWB, LMWB, LSW, LWW, LMWW and LI, respectively). Regression of estimated breeding values for all reproductive traits on year of breeding yielded no significant genetic trends during the 12 years of the study.

Urban settlements often deal with the massive transportation problems caused by mixed land-use development and improper travel services. This situation propels travel accessibility issues within urban centers. This research is intended to focus on the 3rd largest city of Pakistan’s Sindh province, i.e., Sukkur, where residents were found struggling to reach their desired destinations. The study area has naturally grown without planning guidelines, generating traffic congestion and haphazard land-use patterns. This research aims to measure accessibility within the city center using trip rate analysis and a GIS-based isochrone model (1-km radius). In total, 234 household trips were randomly considered according to Morgan’s sampling standards. The results revealed that scattered locations caused heavy traffic volumes without public transport facilities. The ratio of traveling by bike for shopping was recorded at 17.24%. Commuting by car; home-based, health, and shopping trips were ranked 1st (5.52%), 2nd (2.76%), and 3rd (1.38%), respectively. The isochrone-based maps were delineated to clarify the temporal accessibility features. Only three shopping activities were found to be accessible within 6 min. Most of the banks were found to be highly accessible. None of the health facilities were located within a 0–6 minute isochronal boundary. Two entertainment sites were accessible within 0–6 min. The residential neighborhoods were not close to the city center. Only three parks and six religious facilities were accessible within 6–12 min. The study findings clarified mixed land use activities accessed through multiple travel modes in the city center. Executing traffic management implications is a need of the time to induce sustainable transportation guidelines. Besides, the results may contribute to SDG 11.2, i.e., “affordable and sustainable transport systems” available for local commuters. The findings of this study are also relevant to evaluating the progress of some cities on SDG 11.2 regarding accessing feasible transportation services.

This article proposes four distinct kinds of symmetric contraction in the framework of complete F-metric spaces. We examine the condition to guarantee the existence and uniqueness of a fixed point for these contractions. As an application, we look for the solutions to fractional boundary value problems involving a generalized fractional derivative known as the fractional derivative with respect to another function.

Hyderabad’s recreational amenities have made limited progress in comparison to the development of its industrial and commercial sectors. People require parks to unwind from their hectic lives. Parks can be a healthy location to host social events and can enhance community bonds. The evaluation of park accessibility has not been considered over the years in Hyderabad. Hyderabad is the eighth largest settlement in Pakistan and the second largest in the Sindh province. Thus, this study aimed to evaluate the spatial accessibility of the urban parks situated in the city’s distinct locations. The spatial distribution of parks throughout the city was determined in this research. This study evaluated how accessible urban parks are to users by conducting a buffer analysis with ArcGIS-10.8. The questionnaire survey was conducted to record the participants’ opinions about the existing conditions of the parks with a sample size of 400. There was a total of 28 inaccessible urban parks found in Hyderabad. The total facility coverage was decided to be 0.80%. This value is extremely low as per local standards. Therefore, this study recommends the planned development of 40–45 parks to reach the standard level of 18% of the park coverage area. This study suggests that government officials should take pivotal measures to better maintain parks. This research is significant in the advanced modern world because natural areas, such as parks, can offer social and psychological benefits to society. The accessibility of parks is essential for the prosperity of citizens and the achievement of sustainable development goals. The findings of this research may contribute to SDGs 3 and 11, i.e., good health and well-being and sustainable cities and communities.

In this paper, we introduce the concepts of -Geraghty Pata proximal contractions and their weak ϕ -variants, which generalize and unify several well-known contraction conditions in fixed point theory. By integrating the ideas of Geraghty and Pata contractions with the framework of α − θ -proximal admissibility, we establish best proximity point theorems for both single-valued and multivalued non-self mappings in metric spaces. Furthermore, we extend our results to the context of coupled fixed points and partially ordered metric spaces, thus broadening their applicability. The presented theorems generalize a range of existing results and offer a more flexible setting for analyzing nonlinear problems. We also include a concrete application to fractional differential equations and provide illustrative examples to demonstrate the effectiveness of our results.

In this paper, we introduce a modified AG iterative scheme for approximating the fixed point of nonexpansive mappings in a uniformly convex Banach space (UCBS). The convergence and stability are proved for the proposed iterative scheme for the class of Reich–Suzuki nonexpansive mappings. Our results generalize many comparable results in the literature. This work shows improved convergence rate, faster iteration, and enhanced convergence efficiency. Finally, we compare our scheme with the Picard, Mann, Noor, Picard–Mann, M, and Thakur iterative schemes with the help of numerical examples that demonstrate faster convergence.

This paper establishes new fixed‐point (FP) theorems for Suzuki–Rational ( ψ , ϕ )‐type multivalued contractions in complete rectangular M ‐metric spaces (RM‐MSs). These theorems ensure the existence of fixed points and provide significant insights into the structural properties of such contractions. Furthermore, we derive important results concerning contractions defined on closed balls within RM‐MS. To demonstrate the originality and applicability of our findings, we present illustrative examples that validate the effectiveness of the proposed theorems. Finally, we investigate the solvability of a system of nonlinear matrix equations (NMEs) in the framework of our study. This application highlights the practical relevance of the theoretical developments and their potential for solving real‐world problems.