COMMON FIXED POINT THEOREMS FOR CONTRACTIVE MAPPINGS WITH ALTERING DISTANCES IN METRIC AND ORDERED METRIC SPACES
SUMIT CHANDOK(1), MOHAMMAD SAEED KHAN(2) and BESSEM SAMET(3)
1. Department of Mathematics, Khalsa College of Engineering & Technology, Punjab Technical University, Amritsar-143001, INDIA, e-mail: chansok. s@gmail.com; chandhok.sumit@gmail.com 2. Department of Mathematics and Statistics, College of Science, Sultan Qaboos Univer-sity, Al-Khod, Post Box 36, PCode 123, Muscat, Sultanate of OMAN, e-mail: moham-mad@squ.edu.om 3. University of Tunisia, Department of Mathematics, Tunis College of Sciences and Techniques, 5 Avenue Taha Hussein, BP, 56, Bab Manara, TUNIS, e-mail: bes-sem.samet@gmail.com
Abstract
We derive some common fixed point theorems for three single valued mappings satisfying a nonlinear contractive condition involving altering distance functions in the setting of metric and ordered metric spaces. The results presented in this paper generalize and extend several well-known results in the literature. As application, we establish an existence result for a nonlinear first order differential equation. Some examples are also presented to illustrate our obtained results.