PPF Dependence Research Articles

Fixed point theorems with PPF dependence in strong partial b-metric spaces

In this study, PPF dependent fixed point theorems are proved for a nonlinear operator, where the domain space $C[[a, b], E]$ is distinct from the range space, $E$, which is a Strong Partial b-metric space (SPbMS). We obtain existence and uniqueness of PPF dependent fixed point results for the defined mappings under SPbMS. Our results are the extension of fixed point results in SPbMS. Examples are provided in the support of results.

Triple Invariant Point Theorems with PPF Dependence for Contractive Type Mappings

In this paper, some results concerning the existence and uniqueness of triple invariant point with PPF dependence for non linear mapping in partially ordered complete metric spaces using the domain space \(C[[a,b],E]\) that is distinct from the range \(E\). Our results generalize and extend recent coupled invariant point theorems with PPF dependence founded by Drici et al. (Fixed point theorems in partially ordered metric spaces for operators with PPF dependence, Nonlinear Analysis 67 (2007), 641 – 647).

Analytical Solution for a Periodic Boundary Random-Value Problem via Stochastic Fixed Points with PPF Dependence Technique

In this paper, some random common fixed point and coincidence point theorems are established with PPF dependence for generalized random contractions in a separable Banach space. Our results introduce stochastic versions and extensions of recent results as [3, 21, 25] and others. In addition, an application to establish PPF dependent solution of a periodic boundary random-valued problem is given to illustrate the usability of obtained results. valued problem is given to illustrate usability of the obtained results.

Random fixed points for ψ-contractions with application to random differential equations

In this paper, some random common fixed point and coincidence point results are proved with PPF dependence for random operators in separable Banach spaces. Our results present stochastic versions and extensions of recent results of Dhage [J. Nonlinear Sci. Appl. 5 (2012) and Differ. Equ. Appl. 2 (2012)], Kaewcharoen [J. Inequal. Appl. 2013:287] and many others. We also establish results concerning iterative approximation of PPF dependent random common fixed points. Moreover, an application to random differential equations is given here to illustrate usability of the obtained results.

On fixed point theorems for mappings with PPF dependence

In this paper, we consider two families and of mappings defined on satisfy some certain properties. Using the mentioned properties for and , we prove the analogous PPF dependent fixed point theorems for mappings as in Drici et al. (Nonlinear Anal. 67:641-647, 2007) in partially ordered Banach spaces where mappings satisfy the weaker contractive conditions without assuming the topological closedness with respect to the norm topology for the Razumikhin class . MSC:54H25, 55M20.

On Sufficient Conditions for the Existence of Past-Present-Future Dependent Fixed Point in the Razumikhin Class and Application

We introduce the new type of nonself mapping and study sufficient conditions for the existence of past-present-future (for short PPF) dependent fixed point for such mapping in the Razumikhin class. Also, we apply our result to prove the PPF dependent coincidence point theorems. Finally, we use PPF dependence techniques to obtain solution for a nonlinear integral problem with delay.

Fixed Point Theorems for Contractions of Rational Type with PPF Dependence in Banach Spaces

We prove the existence of the PPF dependent fixed point in the Razumikhin class for contractions of rational type in Banach spaces, by using a general class of pairs of functions. Our result has as particular cases a great number of interesting consequences which extend and generalize some results appearing in the literature.

New Fixed Point Results with PPF Dependence in Banach Spaces Endowed with a Graph

We introduce the concept of an -admissible non-self-mappings with respect to and establish the existence of PPF dependent fixed and coincidence point theorems for --contractive non-self-mappings in the Razumikhin class. As applications of our PPF dependent fixed point and coincidence point theorems, we derive some new fixed and coincidence point results for -contractions whenever the range space is endowed with a graph or with a partial order. The obtained results generalize, extend, and modify some PPF dependent fixed point results in the literature. Several interesting consequences of our theorems are also provided.

Some random fixed point theorems with PPF dependence for weakly contractive random operator

Some random fixed point theorems with PPF dependence for weakly contractive random operator

On some common fixed point theorems with PPF dependence in Banach spaces

In this paper, some results concerning the existence of common fixed points, coincidence points and approximating fixed points with PPF dependence for the pairs of operators in Banach spaces satisfying a generalized contractive condition are proved. The novelty of the present work lies in the fact that the domain and the range spaces of the operators in questions are not same and all the results are obtained via constructive methods. Our results generalize and extend the fixed point theorems with PPF dependence of Bernfeld et al. [S. R. Bernfeld, V. Lakshmikatham and Y. M. Reddy, Applicable Anal. 6 (1977), 271-280] and Dhage [B. C. Dhage, Fixed point Theory, (to appear)] under more general contractive conditions.

Some basic random fixed point theorems with PPF dependence and functional random differential equations

In this paper two basic random fixed point theorems with PPF dependence are proved for random operators in separable Banach spaces with different domain and range spaces. The obtained abstract results are applied to certain nonlinear functional random differential equations for proving the existence results for random solutions with PPF dependence. Mathematics subject classification (2010): 34K10, 47H10.

Fixed point theorems for mixed monotone operators with PPF dependence

In this paper, fixed point theorems for mixed monotone operators are investigated by weakening the requirements in the contractive assumption and strengthening the metric space utilized with a partial order, taking the domain space C [ [ a , b ] , E ] different from the range E and using the method of reflection operators.

Fixed-point theorems in partially ordered metric spaces for operators with PPF dependence

In this paper, fixed point theorems of a nonlinear operator are developed, where the domain space C [ [ a , b ] , E ] is different from the range, E , which is a metric space with partial order. An application of the fixed point theorem to a periodic boundary value problem with delay is also given.

Fixed point theorems of operators with ppf dependence in banach spaces

In this paper the theory of fixed point theorems of nonlinear whose domain and range are different Banach spaces are considered. Also the analogues of the Contraction Mapping Principle. Krasnoselskii's fixed point theorem and a result on the convergence of quasinonexpansive mappings are dealt with. As an application, the existence and uniqueness of solutions of differential equations with retarded argument in Banach spaces are discussed