Generalized n-Tupled Common Fixed Point Theorems for Contractive Rational Type Condition
Shamshad Husain *
Department of Applied Mathematics, Faculty of Engg. and Tech., Aligarh Muslim University, Aligarh, India.
Huma Sahper
Department of Applied Mathematics, Faculty of Engg. and Tech., Aligarh Muslim University, Aligarh, India.
Anupam Sharma
Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, India.
*Author to whom correspondence should be addressed.
Abstract
Aims/Objectives: In this paper, we prove results on n-tupled coincidence point (for even n) for a pair of mappings without mixed monotone property satisfying a contractive condition of rational type in partially ordered metric spaces. Our main theorem improves the corresponding results of Chandok et al. (Int. Jour. of Math. Anal., Vol. 7, 2013, No. 9, 433-440).
Keywords: Partially ordered set, compatible mapping, mixed monotone property, n-tupled coincidence point, n-tupled fixed point.