Nikhilesh Metiya

TL;DR: In this paper, a fixed point theorem for a generalized weakly contractive mapping and a fixed-point theorem for pair of weakly-contractive mappings were proved for a pair of mappings with properties P and Q.

TL;DR: In this paper, the authors established some coincidence point results for generalized weak contractions with discontinuous control functions in metric spaces with a partial order, and applied these results to obtain a coupled coincidence point result which effectively generalized a number of established results.

TL;DR: In this paper, the authors extend the coupled contraction mapping theorem proved in partially ordered metric spaces by Gnana Bhaskar and Lakshmikantham (Nonlinear Anal. TMA 65:1379−1393, 2006) to a coupled coincidence point result for a pair of compatible mappings.

TL;DR: In this article, the fixed point results for mappings involving ( ϕ, ψ ) -rational type contractions in the framework of metric spaces endowed with a partial order are established.

TL;DR: In this paper, fixed point theorems for multivalued and single-valued mappings in partially ordered metric spaces have been proved, where the arguments of the functions are related by partial order.