Fixed Points for -Graphic Contractions with Application to Integral Equations

By Nawab Hussain, Saleh Abdullah Al-Mezel, Peyman Salimi. 2013

78 citations recorded by the source corpus.

The aim of this paper is to define modified weak --contractive mappings and to establish fixed point results for such mappings defined on partial metric spaces using the notion of triangular -admissibility. As an application, we prove new fixed point results for graphic weak -contractive mappings. Moreover, some examples and an application to integral equation are given here to illustrate the usability of the obtained results.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d5ff61da16f5fb7f24c378c99ceebe02c22945d5

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In Geometry and Topology

1. Peyman Salimi
2. Nawab Hussain
3. Vahid Parvaneh
4. Marwan Amin Kutbi
5. Ljubomir Ciric
6. Stojan Radenovic

Citations in the corpus

• SUZUKI-WARDOWSKI TYPE FIXED POINT THEOREMS FOR $\alpha$-GF-CONTRACTIONS (2014, background): “This result has been extended in many directions (see [1-18]).”
• Fixed Point Theory in -Complete Metric Spaces with Applications (2014, background): “G is weakly connected ifG is connected (see for details [3, 6, 10, 11]).”
• Fixed point results for various contractions in parametric and fuzzy b-metric spaces (2015, background): “Results under Geraghty-type conditions Fixed point theorems for monotone operators in ordered metric spaces are widely investigated and have found various applications in differential and integral equations (see [1, 15, 20, 24] and references therein).”