Two coupled weak contraction theorems in partially ordered metric spaces

Coupled Optimal Results with an Application to Nonlinear Integral Equations

“…Taking limit supremum in both sides of (10), using (11), the properties of χ and ξ, and the continuity of ζ, we obtain…”

“…Later on, Berinde [6] introduced weak contraction in metric spaces also known by 'almost contraction'. Weak contractions were investigated and generalized in metric spaces and in ordered metric spaces by various researchers (see [7][8][9][10][11][12][13][14][15][16] and references cited therein).…”

A Weak Tripled Contraction for Solving a Fuzzy Global Optimization Problem in Fuzzy Metric Spaces

“…Here, we proposed an application of a fuzzy WTC for the above problem. Coupled FP results has experienced rapid development in the contemporary time through works of [21][22][23][24][25][26][27]. In particular, the corresponding fuzzy coupled FP and related results are presented in [14,22].…”

Generalization of The Results on Fixed Point For Coupling on Metric Spaces

“…The concept of coupled fixed point was introduced in the work of Guo et al [10]. Then after the coupled contraction mapping theorem by Bhaskar and Lakshmikantham [9], and the introduction of coupled coincidence point by Lakshmikantham.V and Ćirić.L [13], the coupled fixed and coupled coincidence point results reported in papers [2,3,4,6,7,11,13,14,15,16,17,18,19,20]. Kirk et al [12] gave the concept of cyclic mappping.…”