✦ LIBER ✦

Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces

✍ Scribed by Hemant Kumar Nashine; Bessem Samet; Calogero Vetro

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 230 KB
Volume: 54
Category: Article
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2011.03.014

No coin nor oath required. For personal study only.

✦ Synopsis

The purpose of this paper is to present some fixed point theorems for T -weakly isotone increasing mappings which satisfy a generalized nonlinear contractive condition in complete ordered metric spaces. As application, we establish an existence theorem for a solution of some integral equations.

📜 SIMILAR VOLUMES

Fixed point theorems for generalized con

Fixed point theorems for generalized contractions in partially ordered metric spaces with semi-monotone metric

✍ Mircea-Dan Rus 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 246 KB

In this paper, we study the existence and uniqueness of (coupled) fixed points for mixed monotone mappings in partially ordered metric spaces with semi-monotone metric. As an application, we prove the existence and uniqueness of the solution for a first-order differential equation with periodic boun

Coupled fixed point theorems for nonline

Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces

✍ V. Lakshmikantham; Ljubomir Ćirić 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 526 KB

We introduce the concept of a mixed g-monotone mapping and prove coupled coincidence and coupled common fixed point theorems for such nonlinear contractive mappings in partially ordered complete metric spaces. Presented theorems are generalizations of the recent fixed point theorems due to Bhaskar a

Fixed point theorems in generalized part

Fixed point theorems in generalized partially ordered -metric spaces

✍ R. Saadati; S.M. Vaezpour; P. Vetro; B.E. Rhoades 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 243 KB

In this paper, we consider the concept of a Ω-distance on a complete partially ordered G-metric space and prove some fixed point theorems.

Fixed point theorems of multivalued mono

Fixed point theorems of multivalued monotone mappings in ordered metric spaces

✍ Xian Zhang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 409 KB

In this work, some new fixed point and coupled fixed point theorems for multivalued monotone mappings in ordered metric spaces are proved.

Common fixed point theorems for ordered

Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces

✍ Zoran Kadelburg; Mirjana Pavlović; Stojan Radenović 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 365 KB

a b s t r a c t In the first part of this paper we generalize results on common fixed points in ordered cone metric spaces obtained by I. Altun and G. Durmaz [I. Altun, G. Durmaz, Some fixed point theorems on ordered cone metric spaces, Rend. Circ. Mat. Palermo, 58 (

Couple fixed point theorems for nonlinea

Couple fixed point theorems for nonlinear contractions in cone metric spaces

✍ Erdal Karapınar 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 388 KB

The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham ( 2006) in [13]. In this manuscript, some results of Lakshmikantham and Ćirić (2009) in [5] are extended to the class of cone metric spaces.