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Contraction Mapping Principle

An extension of the contraction mapping principle to Lipschitzian mappings

An extension of the contraction mapping principle to Lipschitzian mappings

... the contraction mapping principle, has been studied by numerous authors and numerous generalizations have been obtained by eminent mathematicians based on various contractive ...a mapping ...

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A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations

A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations

... The purpose of this paper is to extend the results of [, , ] and to obtain a new contraction mapping principle in partially ordered metric spaces. The result is more gen- eralized than the ...

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Further generalized contraction mapping principle and best proximity theorem in metric spaces

Further generalized contraction mapping principle and best proximity theorem in metric spaces

... generalized contraction mapping ...generalized contraction mapping principle, the authors prove a further generalized best proximity ...

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Generalized contraction mapping principle and generalized best proximity point theorems in probabilistic metric spaces

Generalized contraction mapping principle and generalized best proximity point theorems in probabilistic metric spaces

... prove contraction mapping principle and relevant best proximity point ...generalized contraction mapping principle and generalized best proximity point theorems have been proved ...

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GENERALIZATION OF SELFMAPS AND CONTRACTION MAPPING PRINCIPLE IN D-METRIC SPACE.

GENERALIZATION OF SELFMAPS AND CONTRACTION MAPPING PRINCIPLE IN D-METRIC SPACE.

... Large number of fixed point results for selfmappings satisfying various types of contractive inequalities which in [ 5, 9 ,12]. In this paper, theorems on selfmaps and some fixed point theorems are proved in D-metric ...

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Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis

Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis

... One can easily see, nevertheless, that most of the equations considered in the above-mentioned papers are under periodic assumptions. In this paper, we consider the generalization to almost periodicity. Almost periodic ...

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Generalized metrics and Caristi’s theorem

Generalized metrics and Caristi’s theorem

... Banach’s contraction mapping principle, which holds in all com- plete metric spaces, to a broader class of spaces, Branciari [] conceived of the notion to replace the triangle inequality with a ...

9

φ-Contraction in generalized probabilistic metric spaces

φ-Contraction in generalized probabilistic metric spaces

... Probabilistic fixed point theory originated in the work of Sehgal and Bharucha-Reid [] where they introduced a contraction mapping principle in probabilistic metric spaces. After that this line of ...

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Positive Periodic Solutions in Shifts Delta(+/-) for a Neutral Dynamic Equation on Time Scales

Positive Periodic Solutions in Shifts Delta(+/-) for a Neutral Dynamic Equation on Time Scales

... and contraction mapping principle, sufficient conditions are established for the existence of positive periodic solutions in shifts δ ± for a neutral functional dynamic equation on time scales of the ...

6

Banach contraction principle for cyclical mappings on partial metric spaces

Banach contraction principle for cyclical mappings on partial metric spaces

... Banach contraction mapping principle is considered to be the core of many extended fixed point ...this principle to these spaces (see [–]). How- ever, the contraction type conditions ...

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Existence and Uniqueness of Positive (Almost) Periodic Solutions for a Neutral Multi Species Logarithmic Population Model with Multiple Delays and Impulses

Existence and Uniqueness of Positive (Almost) Periodic Solutions for a Neutral Multi Species Logarithmic Population Model with Multiple Delays and Impulses

... the contraction mapping principle and constructing a suitable Lyapunov functional, we estab- lished a set of easily applicable criteria for the existence, uniqueness and global attractivity of ...

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Approximation Method for Hybrid Functional Differential Equations

Approximation Method for Hybrid Functional Differential Equations

... Banach contraction mapping principle is the only fixed point theorem in the nonlinear analysis which provides a useful method for approximating a unique solution for the initial and boundary value ...

5

Edelstein type fixed point theorems

Edelstein type fixed point theorems

... Banach contraction mapping principle [] which states that each contraction defined on a complete metric space X has a unique fixed ...a contraction, but also showed how to evaluate this ...

12

Existence of solutions for a class of fractional differential equations with integral and anti-periodic boundary conditions

Existence of solutions for a class of fractional differential equations with integral and anti-periodic boundary conditions

... In this paper, we use the Banach contraction mapping principle and Leray-Schauder degree theory to obtain some results of the existence and uniqueness of solution for a class of fraction[r] ...

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Random Fixed Point TheoremsIn Metric Space

Random Fixed Point TheoremsIn Metric Space

... Fixed point theory is one of the most dynamic research subjects in nonlinear sciences. Regarding the feasibility of application of it to the various disciplines, a number of authors have contributed to this theory with a ...

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Vol 8, No 4 (2017)

Vol 8, No 4 (2017)

... Banach contraction mapping principle, appeared by Banach in ...Banach contraction principle has been widely generalized and extended a common fixed point theorem by removing the ...

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Iterative solution to singular nth-order nonlocal boundary value problems

Iterative solution to singular nth-order nonlocal boundary value problems

... Motivated by the works mentioned above, in this paper, we consider the nth-order non- local BVP (.). The existence and uniqueness of iterative solution is established by apply- ing the cone theory and the Banach ...

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A study of third-order single-valued and multi-valued problems with integral boundary conditions

A study of third-order single-valued and multi-valued problems with integral boundary conditions

... Banach contraction mapping principle, and fixed point theorems due to Krasnoselskii, and Boyd and Wong, while the existence of solutions for multi-valued case is based on nonlinear alternative of ...

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Existence of coincidence point and common fixed point for non commuting almost contraction mapping in cone b metric spaces

Existence of coincidence point and common fixed point for non commuting almost contraction mapping in cone b metric spaces

... almost contraction, by restricting the ambient space to the class of usual metric ...a contraction mapping principle in b-metric space that generalized the famous Banach contraction  ...

11

Further generalizations of the Banach contraction principle

Further generalizations of the Banach contraction principle

... Banach contraction principle, appeared in an explicit form in Banach’s thesis in  [], where it was used to establish the exis- tence of a solution to an integral ...This principle states that if ...

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