Some Coupled Fixed Point Results on Partial Metric Spaces

In this paper we give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.Comment: To appear in International Journal of Mathematics and Mathematical Science

Some fixed point theorems for multi-valued mappings on partial cone metric spaces

In this paper, we study the fixed point theory for multi-valued mappings on partial cone metric spaces. We prove an analogous to the well-known Kannan$'s$ fixed point theorem and Chatterjea$'s$ fixed point theorem for multi-valued mappings on partial cone metric spaces.Comment: arXiv admin note: substantial text overlap with arXiv:2208.0679

Coincidence point results for hybrid pair of mappings on a dislocated metric space endowed with an arbitrary binary relation

We introduce the notion of generalized S-contraction of Nadler type and prove some new coincidence point results for hybrid pair of mappings in 0-complete dislocated metric spaces endowed with an arbitrary binary relation. Our results generalize, extend and unify several well known comparable results including Nadler’s fixed point theorem in the setting of dislocated metric spaces. As some applications of our main result, we can obtain several important fixed point results of multi-valued mappings satisfying some contractive type conditions of Kannan type, Fisher type etc. in this new framework. Moreover, we provide some examples to justify that the generalization is proper.Publisher's Versio

Master index

Pla general, del mural ceràmic que decora una de les parets del vestíbul de la Facultat de Química de la UB. El mural representa diversos símbols relacionats amb la química