General Contractive Condition Research Articles

Common Fixed Point Theorems in Extended Rectangular b-Metric Spaces

In this paper, we establish common fixed point theorems for quadruple weakly compatible mappings satisfying a new generalized contraction condition. Our results generalize the corresponding result of Budi Nurwahyu et al. [6]. Non-trivial examples are further provided to support the hypotheses of our results.

A Class of Relational Functional Contractions with Applications to Nonlinear Integral Equations

In this article, we investigate some fixed-point results under certain functional contractive mappings in a relation metric space. In the process, we utilize more general contraction condition which must be verified for comparative elements only. Our results enrich, modify, refine, unify and sharpen several existing fixed-point results. We construct some examples in support of our results. To attest to the applicability of our results, we establish the existence and uniqueness of theorems regarding the solutions of certain nonlinear integral equations.

QUALITY MANAGEMENT PRACTICES IN GONDRANG-PULCHOWK SIX-LANE ROAD UPGRADING PROJECT AT CHITWAN DISTRICT, NEPAL

The objective of this study is to assess the current quality management practices, determine the factors affecting quality management and to find out remedial measures that will improve the quality management practices in Gondrang-Pulchowk six-lane road construction project.This research methodology is based on interviews and questionnaires survey with clients and contractors who were involved in the project as well as experts from related field. Statistical tools, relative importance index, validity and reliability tests, Spearman’s correlation tests were used for the ranking of different quality aspects.From the comparative study, it was found that most guidelines of the General Conditions of Contract, Special Specifications and Quality Assurance Plan of the contract document were met during project execution although few concerns of safety and correspondence remain to be addressed.From the questionnaire survey, it was found that the practices to achieve quality need to be improved. Contractors consider cost factors as major factor affecting quality in the project whereas lack of supervision by contractors is cited by the clients as major factor affecting quality. To overcome the challenges of quality, proper material selection and usage, inspection, quality training, setting up quality department are seen as remedial measures. Improving safety at site, maintaining written correspondence, incorporating elements of ISO, proper selection and usage of materials, holding quality trainings and setting up quality control department are recommended for this project.

Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme

We have developed a Jungck version of the DK iterative scheme called the Jungck–DK iterative scheme. Our analysis focuses on the convergence and stability of the Jungck–DK scheme for a pair of non-self-mappings using the more general contractive condition. We demonstrate that this iterative scheme converges faster than all other leading Jungck-type iterative schemes. To further illustrate its effectiveness, we provide an example to verify the rate of convergence and prove the data dependence result for the Jungck–DK iterative scheme. Finally, we calculate the escape criteria for generating Mandelbrot and Julia sets for polynomial functions and present visually appealing images of these sets by our modified iteration.

Fixed Points for (ξ,ω)-Weakly Cyclic Type Generalized Contraction Condition in Metric Spaces with an Application

In the present work, we have introduced a new type of (ξ,ω)-weakly cyclic generalized contraction in the setting of metric spaces and established some fixed-point results. Fixed-point results are useful in establishing the existence of unique solution to differential equations. We have supplemented the derived results with suitable non-trivial examples with an application to the Boundary Value Problem, generalizing some known results. The analytical result has been verified with numerical simulation.

Generalized fixed point theorems on metric spaces

In this paper, we establish some fixed point theorems for single valued and multi-valued mappings on a complete metric space. Suzuki's and some other fixed point theorems are generalized by taking a more general contractive condition for single valued mappings. It is also proved that our result characterizes the completeness of the metric space. Further, taking generalized contractive condition, a fixed point theorem is also established for multi-valued mappings.

Fixed point theorems for cyclic contractions in S-metric spaces involving C-class function

In this paper, we study the class of cyclic contractions in the setting of S-metric spaces involving C-class function and establish some fixed point theorems in the setting of complete S-metric spaces. We support our results with some examples. Our results extend and generalize several results from the existing literature (see, e.g., [3, 8, 9, 14, 15, 20] and many others) to the case of more general ambient space and contraction condition.

Fixed points for weakly compatible maps with EA and CLR properties

Common fixed point theorems using weakly compatible maps with E.A property as well as common limit range property have been established for the mappings satisfying generalized contraction condition. For the validation of the results an application as well as an example has been given.

Fixed Point Results in Complex Valued Metric Spaces and an Application

In this paper, we introduce xed point theorem for a general contractive condition in complex valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we nd a unique solution for Urysohn integral equations and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. [2] and some other known results in the literature.

Some Fixed Point Results for Two Pairs of Mappings on Integral and Rational Settings

In 2000, P. Hitzler and A.K. Seda (Hitzeler & Seda 2000) obtained a very important generalization of topology which they named as dislocated topology. The corresponding generalized notion of metric obtained from dislocated topology was named as dislocated metric.The fixed point theorem for a single map satisfying contractive condition of integral type with a summable Lebesgue integrable mapping in complete metric space was first time estabished by Branciari (Branciari 2002) in the year 2002. B. E. Rhoades (Rhoades 2003) further extended the theorem of Branciari (Branciari 2002) with a most general contractive condition. Extensions and generalizations for rational and integral type mapping in various spaces can be seen in the literature of fixed point theory. This article establishes some common fixed point results satisfying integral and rational type contractive conditions with common limit range property for two pairs of maps in dislocated metric space. We have established common fixed point result in dislocated metric space with compatible and reciprocal continuity of mappings.

Common fixed point results under w-distance with applications to nonlinear integral equations and nonlinear fractional Differential Equations

Abstract In this article, we prove some new common fixed point results under the generalized contraction condition using w-distance and weak altering distance functions. Also, the validity of the results is demonstrated by an example along with numerical experiment for approximating the common fixed point. Later, as applications, the unique common solutions for the system of nonlinear Fredholm integral equations, nonlinear Volterra integral equations and nonlinear fractional differential equations of Caputo type are derived.

Common solution to a pair of nonlinear Fredholm and Volterra integral equations and nonlinear fractional differential equations

The aim of this paper is to establish the existence and uniqueness of the common solution for the system of nonlinear Fredholm integral equations, nonlinear Volterra integral equations and nonlinear fractional differential equations using the common fixed point results equipped with illustrative examples. Some common fixed point results satisfying the generalized contraction condition involving w-distance and weak altering distance functions are proved. Then, an example is provided to support the usability of our result along with numerical experiments.

Text Mining Risk Assessment–Based Model to Conduct Uncertainty Analysis of the General Conditions of Contract in Housing Construction Projects: Case Study of the NSW GC21

Abstract Construction contracts are known to be the most effective factor to address the challenging subject of risk-sharing between key stakeholders in a project. This study will be conducted for ...

FIXED POINT RESULTS IN COMPLEX VALUED METRIC SPACES WITH AN APPLICATION

In this paper, we introduce fixed point theorem for a general contractive condition in complex valued metric spaces. Also, some important corollaries under this contractive condition areobtained. As an application, we find a unique solution for Urysohn integral equations and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. [2] and some other known results in the literature.

Generalizations of some contractions in b-metric-like spaces and applications to boundary value problems

This paper provides two wide classes of contractions, which are obtained by using notions of alpha _{s^{p}} -admissibility and the rich set of C-class functions in the setting of a complete b-metric-like space under more general contractive conditions. An application is provided and many known results in the literature can be derived.

Coupled fixed points for maps under (ψ-α-β)-general Contractive conditions in partially ordered soft metric space

Coupled fixed points for maps under (ψ-α-β)-general Contractive conditions in partially ordered soft metric space

Fixed Point Theorems for the Modified Simulation Function and Applications to Fractional Economics Systems

In this paper, first, we prove some common fixed point theorems for the generalized contraction condition under newly defined modified simulation function which generalize and include many results in the literature. Second, we give two numerical examples with graphical representations for verifying the proposed results. Third, we discuss and study a set of common fixed point theorems for two pairs (finite families) of self-mappings. Fi- nally, we give some applications of our results in discrete and functional fractional economic systems.

Some common fixed point theorems for four self-mappings satisfying a general contractive condition

In the paper, we derive a general case for four weakly compatible self maps satisfying a general contractive condition due to the same method introduced by Altun et al. [2]. We make use of such a study to prove common fixed point theorems for weakly compatible maps along with E.A. and (CLR) properties.

The Contractor’s Obligations in the Code of Egypt and the General Conditions of Contract in Iran

The contractor should construct the intended goods or object according to the contract and deliver it to the employer. The contractor’s commitments include performing the action or the construction of the product, submitting the constructed product to the employer, and being responsible for it after submission. The main obligations of the contractor are the performance of the action and the construction of the intended object according to the content of the contract. In this article, the contractor’ commitments in the Law of Egypt and some other Arabian countries along with the General Conditions of Contract in Iran will be investigated.

Unified Feng-Liu type fixed point theorems solving control problems

The propose of this work is to study unified Feng-Liu type fixed point theorems using $$(\alpha ,\eta )$$ -muti-valued admissible mappings with more general contraction condition in complete metric spaces. The obtained results generalize and improve several existing theorems in the literature. We use these results in metric spaces endowed with binary relations and partially ordered sets. Some non-trivial example have been presented to illustrate facts and show genuineness of our work. At the end, the established results will be used to obtain existence solutions for a fractional-type integral inclusion.