Coupled fixed point theorems for generalized symmetric Meir--Keeler contractions in ordered metric spaces

Details Coupled fixed point theorems for generalized symmetric Meir--Keeler contractions in ordered metric spaces Coupled fixed point theorems for generalized symmetric Meir--Keeler contractions in ordered metric spaces

2011-03-28

arxiv.org/abs/1103.5289v1

Mathematics

Functional Analysis

Scientific paper

In this paper we introduce generalized symmetric Meir-Keeler contractions and prove some coupled fixed point theorems for mixed monotone operators $F:X \times X \rightarrow X$ in partially ordered metric spaces. The obtained results extend, complement and unify some recent coupled fixed point theorems due to Samet [B. Samet, \textit{Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces}, Nonlinear Anal. \textbf{72} (2010), 4508-4517], Bhaskar and Lakshmikantham [T.G. Bhaskar, V. Lakshmikantham, \textit{Fixed point theorems in partially ordered metric spaces and applications}, Nonlinear Anal. TMA \textbf{65} (2006) 1379-1393] and some other very recent papers. An example to show that our generalizations are effective is also presented.

Affiliated with

Also associated with

No associations

Rating

Coupled fixed point theorems for generalized symmetric Meir--Keeler contractions in ordered metric spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coupled fixed point theorems for generalized symmetric Meir--Keeler contractions in ordered metric spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coupled fixed point theorems for generalized symmetric Meir--Keeler contractions in ordered metric spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-706780