Fixed point theorems in partially ordered metric spaces and existence results for integral equations

Calogero Vetro; Hemant Kumar Nashine; Bessem Samet

Fixed point theorems in partially ordered metric spaces and existence results for integral equations

Calogero Vetro, Hemant Kumar Nashine, Bessem Samet

Matematica e Informatica

Risultato della ricerca: Article › peer review

11 Citazioni (Scopus)

Abstract

We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations.

Lingua originale	English
pagine (da-a)	1304-1320
Numero di pagine	17
Rivista	Numerical Functional Analysis and Optimization
Volume	33
Stato di pubblicazione	Published - 2012

All Science Journal Classification (ASJC) codes

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

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title = "Fixed point theorems in partially ordered metric spaces and existence results for integral equations",

abstract = "We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations.",

keywords = "Fixed point, integral equations, ordered metric space, Fixed point, integral equations, ordered metric space",

author = "Calogero Vetro and Nashine, {Hemant Kumar} and Bessem Samet",

year = "2012",

language = "English",

volume = "33",

pages = "1304--1320",

journal = "Numerical Functional Analysis and Optimization",

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publisher = "Taylor and Francis Ltd.",

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T1 - Fixed point theorems in partially ordered metric spaces and existence results for integral equations

AU - Vetro, Calogero

AU - Nashine, Hemant Kumar

AU - Samet, Bessem

PY - 2012

Y1 - 2012

N2 - We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations.

AB - We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations.

KW - Fixed point

KW - integral equations

KW - ordered metric space

KW - Fixed point

KW - integral equations

KW - ordered metric space

UR - http://hdl.handle.net/10447/68043

M3 - Article

VL - 33

SP - 1304

EP - 1320

JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

SN - 0163-0563

ER -