Coupled coincidence point and coupled common fixed point theorems in partially ordered metric spaces with ω-distance

Dejan Ilić; Mujahid Abbas; Muhammad Ali Khan

doi:10.1155/2010/134897

Coupled coincidence point and coupled common fixed point theorems in partially ordered metric spaces with ω-distance

Dejan Ilić
, Mujahid Abbas
, Muhammad Ali Khan

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We introduce the concept of a w -compatible mapping to obtain a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped with w -distances. Related coupled common fixed point theorems for such mappings are also proved. Our results generalize, extend, and unify several well-known comparable results in the literature.

Original language	English
Article number	134897
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2010
DOIs	https://doi.org/10.1155/2010/134897
Publication status	Published - 2010
Externally published	Yes

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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title = "Coupled coincidence point and coupled common fixed point theorems in partially ordered metric spaces with ω-distance",

abstract = "We introduce the concept of a w -compatible mapping to obtain a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped with w -distances. Related coupled common fixed point theorems for such mappings are also proved. Our results generalize, extend, and unify several well-known comparable results in the literature.",

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AU - Ilić, Dejan

AU - Abbas, Mujahid

AU - Khan, Muhammad Ali

PY - 2010

Y1 - 2010

N2 - We introduce the concept of a w -compatible mapping to obtain a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped with w -distances. Related coupled common fixed point theorems for such mappings are also proved. Our results generalize, extend, and unify several well-known comparable results in the literature.

AB - We introduce the concept of a w -compatible mapping to obtain a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped with w -distances. Related coupled common fixed point theorems for such mappings are also proved. Our results generalize, extend, and unify several well-known comparable results in the literature.

UR - https://www.scopus.com/pages/publications/79251582503

U2 - 10.1155/2010/134897

DO - 10.1155/2010/134897

M3 - Article

AN - SCOPUS:79251582503

SN - 1687-1820

VL - 2010

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

M1 - 134897

ER -

Coupled coincidence point and coupled common fixed point theorems in partially ordered metric spaces with ω-distance

Abstract

ASJC Scopus subject areas

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